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  • Unity, Unrealistic Sphere On Inclined Plane

    - by user1086516
    So I am trying to model a ball rolling down an inclined surface in Unity based on what I am observing in real life but it is still quite off. In Unity it takes the ball about 3 seconds to travel from a place to another specified place where in real life it only takes 1 second. The ball isn't as fast to react to the incline as in real life (even though I have tried giving the ball and surface low or zero friction values) The ball does not accelerate as nearly as fast as it does in real life What do I do to give the ball more realistic behavior ? I have tried messing around with mass, physics materials, drag, and angular drag on the ball and surface but it doesn't seem to be helping.

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  • Howto project a planar polygon on a plane in 3d-space

    - by sum1stolemyname
    I want to project my Polygon along a vector to a plane in 3d Space. I would preferably use a single transformation matrix to do this, but I don't know how to build a matrix of this kind. Given the plane's parameters (ax+by+cz+d), the world coordinates of my Polygon. As stated in the the headline, all vertices of my polygon lie in another plane. the direction vector along which to project my Polygon (currently the polygon's plane's normal vector) goal -a 4x4 transformation matrix which performs the required projection, or some insight on how to construct one myself

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  • Collision detection by sliding against a plane in XNA

    - by Bevin
    Hello, I am attempting to engineer a collision detection algorithm for a custom Minecraft client I'm making. Basically, the entire world is made up of cubes, and the player (or camera) needs to be able to stand on and move against these cubes. The result I want is illustrated in this image: The green line is the player's movement vector. When the player is brushing up against a plane of one of the cubes, I want the vector to change to one that is perpendicular with the plane. The vector should, however, keep all of it's velocity in the plane's direction, yet lose all velocity towards the plane. I hope I've made my question clear. What is the best and most efficient way to implement a collision detection system like this? Also, will a system like this allow for a simple gravity component?

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  • Collision Detection probelm (intersection with plane)

    - by Demi
    I'm doing a scene using openGL (a house). I want to do some collision detection, mainly with the walls in the house. I have tried the following code: // a plane is represented with a normal and a position in space Vector planeNor(0,0,1); Vector position(0,0,-10); Plane p(planeNor,position); Vector vel(0,0,-1); double lamda; // this is the intersection point Vector pNormal; // the normal of the intersection // this method is from Nehe's Lesson 30 coll= p.TestIntersionPlane(vel,Z,lamda,pNormal); glPushMatrix(); glBegin(GL_QUADS); if(coll) glColor3f(1,0,0); else glColor3f(1,1,1); glVertex3d(0,0,-10); glVertex3d(3,0,-10); glVertex3d(3,3,-10); glVertex3d(0,3,-10); glEnd(); glPopMatrix(); Nehe's method: #define EPSILON 1.0e-8 #define ZERO EPSILON bool Plane::TestIntersionPlane(const Vector3 & position,const Vector3 & direction, double& lamda, Vector3 & pNormal) { double DotProduct=direction.scalarProduct(normal); // Dot Product Between Plane Normal And Ray Direction double l2; // Determine If Ray Parallel To Plane if ((DotProduct<ZERO)&&(DotProduct>-ZERO)) return false; l2=(normal.scalarProduct(position))/DotProduct; // Find Distance To Collision Point if (l2<-ZERO) // Test If Collision Behind Start return false; pNormal= normal; lamda=l2; return true; } Z is initially (0,0,0) and every time I move the camera towards the plane, I reduce its z component by 0.1 (i.e. Z.z-=0.1 ). I know that the problem is with the vel vector, but I can't figure out what the right value should be. Can anyone please help me?

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  • Cartesian Plane

    - by NuNu
    I'm trying to define a function in Haskell that takes an integer argument c and returns the list of all points on the cartesian plane of the form (x/c,y/c) where x and y are integers. x/c is between -2 and 1 and y/r is between -1 and 1 This is what I've gotten so far which I'm almost sure is right but I'm getting a parse error on input = when I run it particularly at this line: cart xs ys c = [(y/c,x/c) | x <- xs, y <- ys] plane :: Int -> [a] plane c = cart [-1*c .. 1*c] [-2*c .. 1*c] c cart xs ys c = [(y/c,x/c) | x <- xs, y <- ys] A sample output would be: plane 1 would generate: [(-2.0, -1.0), (-1.0, -1.0), ( 0.0, -1.0), ( 1.0, -1.0), (-2.0, 0.0), (-1.0, 0.0), ( 0.0, 0.0), ( 1.0, 0.0), (-2.0, 1.0), (-1.0, 1.0), ( 0.0, 1.0), ( 1.0, 1.0)] Anyone have any idea how I can fix this! Thanks

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  • plane bombing problems- help

    - by peiska
    I'm training code problems, and on this one I am having problems to solve it, can you give me some tips how to solve it please. The problem is something like this: Your task is to find the sequence of points on the map that the bomber is expected to travel such that it hits all vital links. A link from A to B is vital when its absence isolates completely A from B. In other words, the only way to go from A to B (or vice versa) is via that link. Notice that if we destroy for example link (d,e), it becomes impossible to go from d to e,m,l or n in any way. A vital link can be hit at any point that lies in its segment (e.g. a hit close to d is as valid as a hit close to e). Of course, only one hit is enough to neutralize a vital link. Moreover, each bomb affects an exact circle of radius R, i.e., every segment that intersects that circle is considered hit. Due to enemy counter-attack, the plane may have to retreat at any moment, so the plane should follow, at each moment, to the closest vital link possible, even if in the end the total distance grows larger. Given all coordinates (the initial position of the plane and the nodes in the map) and the range R, you have to determine the sequence of positions in which the plane has to drop bombs. This sequence should start (takeoff) and finish (landing) at the initial position. Except for the start and finish, all the other positions have to fall exactly in a segment of the map (i.e. it should correspond to a point in a non-hit vital link segment). The coordinate system used will be UTM (Universal Transverse Mercator) northing and easting, which basically corresponds to a Euclidian perspective of the world (X=Easting; Y=Northing). Input Each input file will start with three floating point numbers indicating the X0 and Y0 coordinates of the airport and the range R. The second line contains an integer, N, indicating the number of nodes in the road network graph. Then, the next N (<10000) lines will each contain a pair of floating point numbers indicating the Xi and Yi coordinates (1 No two links will ever cross with each other. Output The program will print the sequence of coordinates (pairs of floating point numbers with exactly one decimal place), each one at a line, in the order that the plane should visit (starting and ending in the airport). Sample input 1 102.3 553.9 0.2 14 342.2 832.5 596.2 638.5 479.7 991.3 720.4 874.8 744.3 1284.1 1294.6 924.2 1467.5 659.6 1802.6 659.6 1686.2 860.7 1548.6 1111.2 1834.4 1054.8 564.4 1442.8 850.1 1460.5 1294.6 1485.1 17 1 2 1 3 2 4 3 4 4 5 4 6 6 7 7 8 8 9 8 10 9 10 10 11 6 11 5 12 5 13 12 13 13 14 Sample output 1 102.3 553.9 720.4 874.8 850.1 1460.5 102.3 553.9

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  • flash core engine by Dinesh [closed]

    - by hdinesh
    This post was a dump of the following code (without the highlights). No question, just a dump. Please update this q. with a real question to have it reopened. You (the asker) risk to be flagged as spammer (if not already) and a bad reputation. This is a q/a site, not a site to promote your own code libraries. package facers { import flash.display.*; import flash.events.*; import flash.geom.ColorTransform; import flash.utils.Dictionary; import org.papervision3d.cameras.*; import org.papervision3d.scenes.*; import org.papervision3d.objects.*; import org.papervision3d.objects.special.*; import org.papervision3d.objects.primitives.*; import org.papervision3d.materials.*; import org.papervision3d.events.FileLoadEvent; import org.papervision3d.materials.special.*; import org.papervision3d.materials.shaders.*; import org.papervision3d.materials.utils.*; import org.papervision3d.lights.*; import org.papervision3d.render.*; import org.papervision3d.view.*; import org.papervision3d.events.InteractiveScene3DEvent; import org.papervision3d.events.*; import org.papervision3d.core.utils.*; import org.papervision3d.core.geom.renderables.Vertex3D; import caurina.transitions.*; public class Main extends Sprite { public var viewport :BasicView; public var displayObject :DisplayObject3D; private var light :PointLight3D; private var shadowPlane :Plane; private var dataArray :Array; private var material :BitmapFileMaterial; private var planeByContainer :Dictionary = new Dictionary(); private var paperSize :Number = 0.5; private var cloudSize :Number = 1500; private var rotSize :Number = 360; private var maxAlbums :Number = 50; private var num :Number = 0; public function Main():void { trace("START APPLICATION"); viewport = new BasicView(1024, 690, true, true, CameraType.FREE); viewport.camera.zoom = 50; viewport.camera.extra = { goPosition: new DisplayObject3D(),goTarget: new DisplayObject3D() }; addChild(viewport); displayObject = new DisplayObject3D(); viewport.scene.addChild(displayObject); createAlbum(); addEventListener(Event.ENTER_FRAME, onRenderEvent); } private function createAlbum() { dataArray = new Array("images/thums/pic1.jpg", "images/thums/pic2.jpg", "images/thums/pic3.jpg", "images/thums/pic4.jpg", "images/thums/pic5.jpg", "images/thums/pic6.jpg", "images/thums/pic7.jpg", "images/thums/pic8.jpg", "images/thums/pic9.jpg", "images/thums/pic10.jpg", "images/thums/pic1.jpg", "images/thums/pic2.jpg", "images/thums/pic3.jpg", "images/thums/pic4.jpg", "images/thums/pic5.jpg", "images/thums/pic6.jpg", "images/thums/pic7.jpg", "images/thums/pic8.jpg", "images/thums/pic9.jpg", "images/thums/pic10.jpg"); for (var i:int = 0; i < dataArray.length; i++) { material = new BitmapFileMaterial(dataArray[i]); material.doubleSided = true; material.addEventListener(FileLoadEvent.LOAD_COMPLETE, loadMaterial); } } public function loadMaterial(event:Event) { var plane:Plane = new Plane(material, 300, 180); displayObject.addChild(plane); var _x:int = Math.random() * cloudSize - cloudSize/2; var _y:int = Math.random() * cloudSize - cloudSize/2; var _z:int = Math.random() * cloudSize - cloudSize/2; var _rotationX:int = Math.random() * rotSize; var _rotationY:int = Math.random() * rotSize; var _rotationZ:int = Math.random() * rotSize; Tweener.addTween(plane, { x:_x, y:_y, z:_z, rotationX:_rotationX, rotationY:_rotationY, rotationZ:_rotationZ, time:5, transition:"easeIn" } ); } protected function onRenderEvent(event:Event):void { var rotY: Number = (mouseY-(stage.stageHeight/2))/(900/2)*(1200); var rotX: Number = (mouseX-(stage.stageWidth/2))/(600/2)*(-1200); displayObject.rotationY = viewport.camera.x + (rotX - viewport.camera.x) / 50; displayObject.rotationX = viewport.camera.y + (rotY - viewport.camera.y) / 30; viewport.singleRender(); } } } package designLab.events { import flash.display.BlendMode; import flash.display.Sprite; import flash.events.Event; import flash.filters.BlurFilter; // Import designLab import designLab.layer.IntroLayer; import designLab.shadow.ShadowCaster; import designLab.utils.LayerConstant; // Import Papervision3D import org.papervision3d.cameras.*; import org.papervision3d.scenes.*; import org.papervision3d.objects.*; import org.papervision3d.objects.special.*; import org.papervision3d.objects.primitives.*; import org.papervision3d.materials.*; import org.papervision3d.materials.special.*; import org.papervision3d.materials.shaders.*; import org.papervision3d.materials.utils.*; import org.papervision3d.lights.*; import org.papervision3d.render.*; import org.papervision3d.view.*; import org.papervision3d.events.InteractiveScene3DEvent; import org.papervision3d.events.*; import org.papervision3d.core.utils.*; import org.papervision3d.core.geom.renderables.Vertex3D; public class CoreEnging extends Sprite { public var viewport :BasicView; // Create BasicView public var displayObject :DisplayObject3D; // Create DisplayObject public var shadowCaster :ShadowCaster; // Create ShadowCaster private var light :PointLight3D; // Create PointLight private var shadowPlane :Plane; // Create Plane private var layer :LayerConstant; // Create constant resource layer private static var instance :CoreEnging; // Create CoreEnging class static instance // CoreEnging class static instance mathod function public static function getinstance() { if (instance != null) return instance; else { instance = new CoreEnging(); return instance; } } // CoreEnging constrictor public function CoreEnging () { trace("INFO: Design Lab Application : Core Enging v0.1"); layer = new LayerConstant(); viewport = new BasicView(900, 600, true, true, CameraType.FREE); // pass the width, height, scaleToStage, interactive, cameraType to BasicView viewport.camera.zoom = 100; // Define the zoom level of camera addChild(viewport); createFloor(); // Create the floor displayObject = new DisplayObject3D(); // Create new instance of DisplayObject viewport.scene.addChild(displayObject); // Add the DisplayObject to the BasicView light = new PointLight3D(); // Create new instance of PointLight light.z = -50; // Position the Z of create instance light.x = 0; //Position the X of create instance light.rotationZ = 45; //Position the rotation angel of the Z of create instance light.y = 500; //Position the Y of create instance shadowCaster = new ShadowCaster("shadow", 0x000000, BlendMode.MULTIPLY, .1, [new BlurFilter(20, 20, 1)]); // pass shadowcaster name, color, blend mode, alpha and filters shadowCaster.setType(ShadowCaster.SPOTLIGHT); // Define the shadow type addEventListener(Event.ENTER_FRAME, onRenderEvent); // Add frame render event } // Start create floor public function createFloor() { var spr:Sprite = new Sprite(); // Create Sprite spr.graphics.beginFill(0xFFFFFF); // Define the fill color for sprite spr.graphics.drawRect(0, 0, 600, 600); // Define the X, Y, width, height of the sprite var sprMaterial:MovieMaterial = new MovieMaterial(spr, true, true, true); //Create a texture from an existing sprite instance shadowPlane = new Plane(sprMaterial, 2000, 2000, 1, 1); // create new instance of the Plane and pass the texture material, width, height, segmentsW and segmentsH shadowPlane.rotationX = 80; //Position the rotation angel of the X of Plane shadowPlane.y = -200; //Position the Y of Plane viewport.scene.addChild(shadowPlane); // Add the Plane to the BasicView } // switch method function of the page layer control public function addLayer(type:String) { switch (type) { case layer.INTRO: var intro:IntroLayer = new IntroLayer(); break; } } // Create get mathod function for DisplayObject public function getDisplayObject():DisplayObject3D { return displayObject; } // Create get mathod function for BasicView public function getViewport():BasicView { return viewport; } // Rendering function protected function onRenderEvent(event:Event):void { var rotY: Number = (mouseY-(stage.stageHeight/2))/(900/2)*(1200); var rotX: Number = (mouseX-(stage.stageWidth/2))/(600/2)*(-1200); displayObject.rotationY = viewport.camera.x + (rotX - viewport.camera.x) / 50; displayObject.rotationX = viewport.camera.y + (rotY - viewport.camera.y) / 30; // Remove the shadow shadowCaster.invalidate(); // create new shadow on DisplayObject move shadowCaster.castModel(displayObject, light, shadowPlane); viewport.singleRender(); } } } package designLab.layer { import flash.display.Sprite; import flash.events.Event; // Import designLab import designLab.materials.iBusinessCard; import designLab.events.CoreEnging; // Import Papervision3D import org.papervision3d.objects.primitives.Cube; import org.papervision3d.materials.ColorMaterial; import org.papervision3d.materials.MovieMaterial; public class IntroLayer { // IntroLayer constrictor public function IntroLayer() { trace("INFO: Load Intro layer"); var indexDP:DP_index = new DP_index(); //Create the library MovieClip var blackMaterial:MovieMaterial = new MovieMaterial(indexDP, true); //Create a texture from an existing library MovieClip instance blackMaterial.smooth = true; blackMaterial.doubleSided = false; var mycolor:ColorMaterial = new ColorMaterial(0x000000); //Create solid color material var mycard:iBusinessCard = new iBusinessCard(blackMaterial, blackMaterial, mycolor, 372, 10, 207); // Create custom 3D cube object to pass the Front, Back, All, CubeWidth, CubeDepth and CubeHeight CoreEnging.getinstance().getDisplayObject().addChild(mycard.create3DCube()); // Add the custom 3D cube to the DisplayObject } } } package designLab.materials { import flash.display.*; import flash.events.*; // Import Papervision3D import org.papervision3d.materials.*; import org.papervision3d.materials.utils.MaterialsList; import org.papervision3d.objects.primitives.Cube; public class iBusinessCard extends Sprite { private var materialsList :MaterialsList; private var cube :Cube; private var Front :MovieMaterial = new MovieMaterial(); private var Back :MovieMaterial = new MovieMaterial(); private var All :ColorMaterial = new ColorMaterial(); private var CubeWidth :Number; private var CubeDepth :Number; private var CubeHeight :Number; public function iBusinessCard(Front:MovieMaterial, Back:MovieMaterial, All:ColorMaterial, CubeWidth:Number, CubeDepth:Number, CubeHeight:Number) { setFront(Front); setBack(Back); setAll(All); setCubeWidth(CubeWidth); setCubeDepth(CubeDepth); setCubeHeight(CubeHeight); } public function create3DCube():Cube { materialsList = new MaterialsList(); materialsList.addMaterial(Front, "front"); materialsList.addMaterial(Back, "back"); materialsList.addMaterial(All, "left"); materialsList.addMaterial(All, "right"); materialsList.addMaterial(All, "top"); materialsList.addMaterial(All, "bottom"); cube = new Cube(materialsList, CubeWidth, CubeDepth, CubeHeight); cube.x = 0; cube.y = 0; cube.z = 0; cube.rotationY = 180; return cube; } public function setFront(Front:MovieMaterial) { this.Front = Front; } public function getFront():MovieMaterial { return Front; } public function setBack(Back:MovieMaterial) { this.Back = Back; } public function getBack():MovieMaterial { return Back; } public function setAll(All:ColorMaterial) { this.All = All; } public function getAll():ColorMaterial { return All; } public function setCubeWidth(CubeWidth:Number) { this.CubeWidth = CubeWidth; } public function getCubeWidth():Number { return CubeWidth; } public function setCubeDepth(CubeDepth:Number) { this.CubeDepth = CubeDepth; } public function getCubeDepth():Number { return CubeDepth; } public function setCubeHeight(CubeHeight:Number) { this.CubeHeight = CubeHeight; } public function getCubeHeight():Number { return CubeHeight; } } } package designLab.shadow { import flash.display.Sprite; import flash.filters.BlurFilter; import flash.geom.Point; import flash.geom.Rectangle; import flash.utils.Dictionary; import org.papervision3d.core.geom.TriangleMesh3D; import org.papervision3d.core.geom.renderables.Triangle3D; import org.papervision3d.core.geom.renderables.Vertex3D; import org.papervision3d.core.math.BoundingSphere; import org.papervision3d.core.math.Matrix3D; import org.papervision3d.core.math.Number3D; import org.papervision3d.core.math.Plane3D; import org.papervision3d.lights.PointLight3D; import org.papervision3d.materials.MovieMaterial; import org.papervision3d.objects.DisplayObject3D; import org.papervision3d.objects.primitives.Plane; public class ShadowCaster { private var vertexRefs:Dictionary; private var numberRefs:Dictionary; private var lightRay:Number3D = new Number3D() private var p3d:Plane3D = new Plane3D(); public var color:uint = 0; public var alpha:Number = 0; public var blend:String = ""; public var filters:Array; public var uid:String; private var _type:String = "point"; private var dir:Number3D; private var planeBounds:Dictionary; private var targetBounds:Dictionary; private var models:Dictionary; public static var DIRECTIONAL:String = "dir"; public static var SPOTLIGHT:String = "spot"; public function ShadowCaster(uid:String, color:uint = 0, blend:String = "multiply", alpha:Number = 1, filters:Array=null) { this.uid = uid; this.color = color; this.alpha = alpha; this.blend = blend; this.filters = filters ? filters : [new BlurFilter()]; numberRefs = new Dictionary(true); targetBounds = new Dictionary(true); planeBounds = new Dictionary(true); models = new Dictionary(true); } public function castModel(model:DisplayObject3D, light:PointLight3D, plane:Plane, faces:Boolean = true, cull:Boolean = false):void{ var ar:Array; if(models[model]) { ar = models[model]; }else{ ar = new Array(); getChildMesh(model, ar); models[model] = ar; } var reset:Boolean = true; for each(var t:TriangleMesh3D in ar){ if(faces) castFaces(light, t, plane, cull, reset); else castBoundingSphere(light, t, plane, 0.75, reset); reset = false; } } private function getChildMesh(do3d:DisplayObject3D, ar):void{ if(do3d is TriangleMesh3D) ar.push(do3d); for each(var d:DisplayObject3D in do3d.children) getChildMesh(d, ar); } public function setType(type:String="point"):void{ _type = type; } public function getType():String{ return _type; } public function castBoundingSphere(light:PointLight3D, target:TriangleMesh3D, plane:Plane, scaleRadius:Number=0.8, clear:Boolean = true):void{ var planeVertices:Array = plane.geometry.vertices; //convert to target space? var world:Matrix3D = plane.world; var inv:Matrix3D = Matrix3D.inverse(plane.transform); var lp:Number3D = new Number3D(light.x, light.y, light.z); Matrix3D.multiplyVector(inv, lp); p3d.setNormalAndPoint(plane.geometry.faces[0].faceNormal, new Number3D()); var b:BoundingSphere = target.geometry.boundingSphere; var bounds:Object = planeBounds[plane]; if(!bounds){ bounds = plane.boundingBox(); planeBounds[plane] = bounds; } var tbounds:Object = targetBounds[target]; if(!tbounds){ tbounds = target.boundingBox(); targetBounds[target] = tbounds; } var planeMovie:Sprite = Sprite(MovieMaterial(plane.material).movie); var movieSize:Point = new Point(planeMovie.width, planeMovie.height); var castClip:Sprite = getCastClip(plane); castClip.blendMode = this.blend; castClip.filters = this.filters; castClip.alpha = this.alpha; if(clear) castClip.graphics.clear(); vertexRefs = new Dictionary(true); var tlp:Number3D = new Number3D(light.x, light.y, light.z); Matrix3D.multiplyVector(Matrix3D.inverse(target.world), tlp); var center:Number3D = new Number3D(tbounds.min.x+tbounds.size.x*0.5, tbounds.min.y+tbounds.size.y*0.5, tbounds.min.z+tbounds.size.z*0.5); var dif:Number3D = Number3D.sub(lp, center); dif.normalize(); var other:Number3D = new Number3D(); other.x = -dif.y; other.y = dif.x; other.z = 0; other.normalize(); var cross:Number3D = Number3D.cross(new Number3D(plane.transform.n12, plane.transform.n22, plane.transform.n32), p3d.normal); cross.normalize(); //cross = new Number3D(-dif.y, dif.x, 0); //cross.normalize(); cross.multiplyEq(b.radius*scaleRadius); if(_type == DIRECTIONAL){ var oPos:Number3D = new Number3D(target.x, target.y, target.z); Matrix3D.multiplyVector(target.world, oPos); Matrix3D.multiplyVector(inv, oPos); dir = new Number3D(oPos.x-lp.x, oPos.y-lp.y, oPos.z-lp.z); } //numberRefs = new Dictionary(true); var pos:Number3D; var c2d:Point; var r2d:Point; //_type = SPOTLIGHT; pos = projectVertex(new Vertex3D(center.x, center.y, center.z), lp, inv, target.world); c2d = get2dPoint(pos, bounds.min, bounds.size, movieSize); pos = projectVertex(new Vertex3D(center.x+cross.x, center.y+cross.y, center.z+cross.z), lp, inv, target.world); r2d = get2dPoint(pos, bounds.min, bounds.size, movieSize); var dx:Number = r2d.x-c2d.x; var dy:Number = r2d.y-c2d.y; var rad:Number = Math.sqrt(dx*dx+dy*dy); castClip.graphics.beginFill(color); castClip.graphics.moveTo(c2d.x, c2d.y); castClip.graphics.drawCircle(c2d.x, c2d.y, rad); castClip.graphics.endFill(); } public function getCastClip(plane:Plane):Sprite{ var planeMovie:Sprite = Sprite(MovieMaterial(plane.material).movie); var movieSize:Point = new Point(planeMovie.width, planeMovie.height); var castClip:Sprite;// = new Sprite(); if(planeMovie.getChildByName("castClip"+uid)) return Sprite(planeMovie.getChildByName("castClip"+uid)); else{ castClip = new Sprite(); castClip.name = "castClip"+uid; castClip.scrollRect = new Rectangle(0, 0, movieSize.x, movieSize.y); //castClip.alpha = 0.4; planeMovie.addChild(castClip); return castClip; } } public function castFaces(light:PointLight3D, target:TriangleMesh3D, plane:Plane, cull:Boolean=false, clear:Boolean = true):void{ var planeVertices:Array = plane.geometry.vertices; //convert to target space? var world:Matrix3D = plane.world; var inv:Matrix3D = Matrix3D.inverse(plane.transform); var lp:Number3D = new Number3D(light.x, light.y, light.z); Matrix3D.multiplyVector(inv, lp); var tlp:Number3D; if(cull){ tlp = new Number3D(light.x, light.y, light.z); Matrix3D.multiplyVector(Matrix3D.inverse(target.world), tlp); } //Matrix3D.multiplyVector(Matrix3D.inverse(target.transform), tlp); //p3d.setThreePoints(planeVertices[0].getPosition(), planeVertices[1].getPosition(), planeVertices[2].getPosition()); p3d.setNormalAndPoint(plane.geometry.faces[0].faceNormal, new Number3D()); if(_type == DIRECTIONAL){ var oPos:Number3D = new Number3D(target.x, target.y, target.z); Matrix3D.multiplyVector(target.world, oPos); Matrix3D.multiplyVector(inv, oPos); dir = new Number3D(oPos.x-lp.x, oPos.y-lp.y, oPos.z-lp.z); } var bounds:Object = planeBounds[plane]; if(!bounds){ bounds = plane.boundingBox(); planeBounds[plane] = bounds; } var castClip:Sprite = getCastClip(plane); castClip.blendMode = this.blend; castClip.filters = this.filters; castClip.alpha = this.alpha; var planeMovie:Sprite = Sprite(MovieMaterial(plane.material).movie); var movieSize:Point = new Point(planeMovie.width, planeMovie.height); if(clear) castClip.graphics.clear(); vertexRefs = new Dictionary(true); //numberRefs = new Dictionary(true); var pos:Number3D; var p2d:Point; var s2d:Point; var hitVert:Number3D = new Number3D(); for each(var t:Triangle3D in target.geometry.faces){ if( cull){ hitVert.x = t.v0.x; hitVert.y = t.v0.y; hitVert.z = t.v0.z; if(Number3D.dot(t.faceNormal, Number3D.sub(tlp, hitVert)) <= 0) continue; } castClip.graphics.beginFill(color); pos = projectVertex(t.v0, lp, inv, target.world); s2d = get2dPoint(pos, bounds.min, bounds.size, movieSize); castClip.graphics.moveTo(s2d.x, s2d.y); pos = projectVertex(t.v1, lp, inv, target.world); p2d = get2dPoint(pos, bounds.min, bounds.size, movieSize); castClip.graphics.lineTo(p2d.x, p2d.y); pos = projectVertex(t.v2, lp, inv, target.world); p2d = get2dPoint(pos, bounds.min, bounds.size, movieSize); castClip.graphics.lineTo(p2d.x, p2d.y); castClip.graphics.lineTo(s2d.x, s2d.y); castClip.graphics.endFill(); } } public function invalidate():void{ invalidateModels(); invalidatePlanes(); } public function invalidatePlanes():void{ planeBounds = new Dictionary(true); } public function invalidateTargets():void{ numberRefs = new Dictionary(true); targetBounds = new Dictionary(true); } public function invalidateModels():void{ models = new Dictionary(true); invalidateTargets(); } private function get2dPoint(pos3D:Number3D, min3D:Number3D, size3D:Number3D, movieSize:Point):Point{ return new Point((pos3D.x-min3D.x)/size3D.x*movieSize.x, ((-pos3D.y-min3D.y)/size3D.y*movieSize.y)); } private function projectVertex(v:Vertex3D, light:Number3D, invMat:Matrix3D, world:Matrix3D):Number3D{ var pos:Number3D = vertexRefs[v]; if(pos) return pos; var n:Number3D = numberRefs[v]; if(!n){ n = new Number3D(v.x, v.y, v.z); Matrix3D.multiplyVector(world, n); Matrix3D.multiplyVector(invMat, n); numberRefs[v] = n; } if(_type == SPOTLIGHT){ lightRay.x = light.x; lightRay.y = light.y; lightRay.z = light.z; }else{ lightRay.x = n.x-dir.x; lightRay.y = n.y-dir.y; lightRay.z = n.z-dir.z; } pos = p3d.getIntersectionLineNumbers(lightRay, n); vertexRefs[v] = pos; return pos; } } } package designLab.utils { public class LayerConstant { public const INTRO:String = "INTRO"; // Intro layer string constant } }*emphasized text*

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  • Moving 2d objects on a 3d plane - AS3

    - by Borkz
    I have a 2d plane rotated on its x axis, with 2d display objects I want to move around on the plane. Its pretty similar to a chess board: http://static.open.salon.com/files/chess011237853612.jpg The board is a rotated rectangle, and the pieces are just 2d display objects. Whats the easiest way to manipulate those objects so they appear to be moving on the board?

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  • [MATH]Project an axis to a plane

    - by Robert
    how do i project the X axis to a plane if the plane is defined by three points? see pic here: http://129.25.16.135:2080/v6.5/books/usb/graphics/iconventions-local-surfaces.png The default local 1-direction is the projection of the global x-axis onto the surface. If the global x-axis is within 0.1° of being normal to the surface, the local 1-direction is the projection of the global z-axis onto the surface. let's suppose that these points are: t1 = [-0.362879991531372, 0.357021987438202, -0.373737007379532] t2 = [-0.383525013923645, 0.371621012687683, -0.383549988269806] t3 = [-0.383534014225006, 0.34629300236702, -0.38544899225235] is the vector [0.78280971952246, -0.0307519963686645, 0.411184845614438] correct answer in this case? i've calculated the angle between the surf and x (1,0,0) is ~28°. and can you give the entire procedure for the calculation, because i'm just puzzled.

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  • Better way to load level content in XNA?

    - by user2002495
    Currently I loaded all my assets in XNA in the main Game class. What I want to achieve later is that I only load specific assets for specific levels (the game will consist of many levels). Here is how I load my main assets into the main class: protected override void LoadContent() { spriteBatch = new SpriteBatch(GraphicsDevice); plane = new Player(Content.Load<Texture2D>(@"Player/playerSprite"), 6, 8); plane.animation = "down"; plane.pos = new Vector2(400, 500); plane.fps = 15; Global.currentPos = plane.pos; lvl1 = new Level1(Content.Load<Texture2D>(@"Levels/bgLvl1"), Content.Load<Texture2D>(@"Levels/bgLvl1-other"), new Vector2(0, 0), new Vector2(0, -600)); CommonBullet.LoadContent(Content); CommonEnemyBullet.LoadContent(Content); } protected override void UnloadContent() { } protected override void Update(GameTime gameTime) { if (GamePad.GetState(PlayerIndex.One).Buttons.Back == ButtonState.Pressed) this.Exit(); plane.Update(gameTime); lvl1.Update(gameTime); foreach (CommonEnemy ce in cel) { if (ce.CollidesWith(plane)) { ce.hasSpawn = false; } foreach (CommonBullet b in plane.commonBulletList) { if (b.CollidesWith(ce)) { ce.hasSpawn = false; } } ce.Update(gameTime); } LoadCommonEnemy(); base.Update(gameTime); } private void LoadCommonEnemy() { int randY = rand.Next(-600, -10); int randX = rand.Next(0, 750); if (cel.Count < 3) { cel.Add(new CommonEnemy(Content.Load<Texture2D>(@"Enemy/Common/commonEnemySprite"), 7, 2, "left", randX, randY)); } for (int i = 0; i < cel.Count; i++) { if (!cel[i].hasSpawn) { cel.RemoveAt(i); i--; } } } protected override void Draw(GameTime gameTime) { GraphicsDevice.Clear(Color.Black); spriteBatch.Begin(); lvl1.Draw(spriteBatch); plane.Draw(spriteBatch); foreach (CommonEnemy ce in cel) { ce.Draw(spriteBatch); } spriteBatch.End(); base.Draw(gameTime); } I wish to load my players, enemies, all in Level1 class. However, when I move my player & enemy code into the Level1 class, the gameTime returns null. Here is my Level1 class: using System; using System.Collections.Generic; using System.Linq; using System.Text; using Microsoft.Xna.Framework; using Microsoft.Xna.Framework.Audio; using Microsoft.Xna.Framework.Content; using Microsoft.Xna.Framework.Graphics; using Microsoft.Xna.Framework.Media; using Microsoft.Xna.Framework.Input; using SpaceShooter_Beta.Animation.PlayerCollection; using SpaceShooter_Beta.Animation.EnemyCollection.Common; namespace SpaceShooter_Beta.Levels { public class Level1 { public Texture2D bgTexture1, bgTexture2; public Vector2 bgPos1, bgPos2; public float speed = 5f; Player plane; public Level1(Texture2D texture1, Texture2D texture2, Vector2 pos1, Vector2 pos2) { this.bgTexture1 = texture1; this.bgTexture2 = texture2; this.bgPos1 = pos1; this.bgPos2 = pos2; } public void LoadContent(ContentManager cm) { plane = new Player(cm.Load<Texture2D>(@"Player/playerSprite"), 6, 8); plane.animation = "down"; plane.pos = new Vector2(400, 500); plane.fps = 15; Global.currentPos = plane.pos; } public void Draw(SpriteBatch sb) { sb.Draw(bgTexture1, bgPos1, Color.White); sb.Draw(bgTexture2, bgPos2, Color.White); plane.Draw(sb); } public void Update(GameTime gt) { bgPos1.Y += speed; bgPos2.Y += speed; if (bgPos1.Y >= 600) { bgPos1.Y = -600; } if (bgPos2.Y >= 600) { bgPos2.Y = -600; } plane.Update(gt); } } } Of course when I did this, I delete all my player's code in the main Game class. All of that works fine (no errors) except that the game cannot start. The debugger says that plane.Update(gt); in Level 1 class has null GameTime, same thing with the Draw method in the Level class. Please help, I appreciate for the time. [EDIT] I know that using switch in the main class can be a solution. But I prefer a cleaner solution than that, since using switch still means I need to load all the assets through the main class, the code will be A LOT later on for each levels

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  • rotate a plane around a diagonal

    - by compie
    I would like to rotate a plane, not around a single (X or Y) axis, but around the diagonal (45 degrees between X and Y). How do I calculate the Rx and Ry given the Rdiagonal? (Rdiagonal is the amount of rotation I would like to achieve around the diagonal axis).

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  • What is the intention behind asking weight of plane?

    - by AKS
    I was asked this question "How would you find weight of Aeroplane" in an interview and I am not sure why this question was one of the two question asked in the interview. I tried to answer it using all possible ways but could not give the correct answer.(found the correct answer after google search) How much such questions decide your selection in the interview? Here was my approach: 1. If measurement of plane is given then i will calculate volume and multiply by density, will consider fuel weight plus other dead weight. 2. Using water displacement method if i can put plane in water and somehow measure how much water is displaced. But found using google search that right approach was to put place on a ship and mark the level of water on the hull, then remove plane and then ship will go up. And start putting weight on the ship till marked hull reaches the water level.

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  • OpenGL - Frustum not culling polygons beyond far plane

    - by Pladnius Brooks
    I have implemented frustum culling and am checking the bounding box for its intersection with the frustum planes. I added the ability to pause frustum updates which lets me see if the frustum culling has been working correctly. When I turn around after I have paused it, nothing renders behind me and to the left and right side, they taper off as well just as you would expect. Beyond the clip distance (far plane), they still render and I am not sure whether it is a problem with my frustum updating or bounding box checking code or I am using the wrong matrix or what. As I put the distance in the projection matrix at 3000.0f, it still says that bounding boxes well past that are still in the frustum, which isn't the case. Here is where I create my modelview matrix: projectionMatrix = glm::perspective(newFOV, 4.0f / 3.0f, 0.1f, 3000.0f); viewMatrix = glm::mat4(1.0); viewMatrix = glm::scale(viewMatrix, glm::vec3(1.0, 1.0, -1.0)); viewMatrix = glm::rotate(viewMatrix, anglePitch, glm::vec3(1.0, 0.0, 0.0)); viewMatrix = glm::rotate(viewMatrix, angleYaw, glm::vec3(0.0, 1.0, 0.0)); viewMatrix = glm::translate(viewMatrix, glm::vec3(-x, -y, -z)); modelViewProjectiomMatrix = projectionMatrix * viewMatrix; The reason I scale it by -1 in the Z direction is because the levels were designed to be rendered with DirectX so I reverse the Z direction. Here is where I update my frustum: void CFrustum::calculateFrustum() { glm::mat4 mat = camera.getModelViewProjectionMatrix(); // Calculate the LEFT side m_Frustum[LEFT][A] = (mat[0][3]) + (mat[0][0]); m_Frustum[LEFT][B] = (mat[1][3]) + (mat[1][0]); m_Frustum[LEFT][C] = (mat[2][3]) + (mat[2][0]); m_Frustum[LEFT][D] = (mat[3][3]) + (mat[3][0]); // Calculate the RIGHT side m_Frustum[RIGHT][A] = (mat[0][3]) - (mat[0][0]); m_Frustum[RIGHT][B] = (mat[1][3]) - (mat[1][0]); m_Frustum[RIGHT][C] = (mat[2][3]) - (mat[2][0]); m_Frustum[RIGHT][D] = (mat[3][3]) - (mat[3][0]); // Calculate the TOP side m_Frustum[TOP][A] = (mat[0][3]) - (mat[0][1]); m_Frustum[TOP][B] = (mat[1][3]) - (mat[1][1]); m_Frustum[TOP][C] = (mat[2][3]) - (mat[2][1]); m_Frustum[TOP][D] = (mat[3][3]) - (mat[3][1]); // Calculate the BOTTOM side m_Frustum[BOTTOM][A] = (mat[0][3]) + (mat[0][1]); m_Frustum[BOTTOM][B] = (mat[1][3]) + (mat[1][1]); m_Frustum[BOTTOM][C] = (mat[2][3]) + (mat[2][1]); m_Frustum[BOTTOM][D] = (mat[3][3]) + (mat[3][1]); // Calculate the FRONT side m_Frustum[FRONT][A] = (mat[0][3]) + (mat[0][2]); m_Frustum[FRONT][B] = (mat[1][3]) + (mat[1][2]); m_Frustum[FRONT][C] = (mat[2][3]) + (mat[2][2]); m_Frustum[FRONT][D] = (mat[3][3]) + (mat[3][2]); // Calculate the BACK side m_Frustum[BACK][A] = (mat[0][3]) - (mat[0][2]); m_Frustum[BACK][B] = (mat[1][3]) - (mat[1][2]); m_Frustum[BACK][C] = (mat[2][3]) - (mat[2][2]); m_Frustum[BACK][D] = (mat[3][3]) - (mat[3][2]); // Normalize all the sides NormalizePlane(m_Frustum, LEFT); NormalizePlane(m_Frustum, RIGHT); NormalizePlane(m_Frustum, TOP); NormalizePlane(m_Frustum, BOTTOM); NormalizePlane(m_Frustum, FRONT); NormalizePlane(m_Frustum, BACK); } And finally, where I check the bounding box: bool CFrustum::BoxInFrustum( float x, float y, float z, float x2, float y2, float z2) { // Go through all of the corners of the box and check then again each plane // in the frustum. If all of them are behind one of the planes, then it most // like is not in the frustum. for(int i = 0; i < 6; i++ ) { if(m_Frustum[i][A] * x + m_Frustum[i][B] * y + m_Frustum[i][C] * z + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x2 + m_Frustum[i][B] * y + m_Frustum[i][C] * z + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x + m_Frustum[i][B] * y2 + m_Frustum[i][C] * z + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x2 + m_Frustum[i][B] * y2 + m_Frustum[i][C] * z + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x + m_Frustum[i][B] * y + m_Frustum[i][C] * z2 + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x2 + m_Frustum[i][B] * y + m_Frustum[i][C] * z2 + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x + m_Frustum[i][B] * y2 + m_Frustum[i][C] * z2 + m_Frustum[i][D] > 0) continue; if(m_Frustum[i][A] * x2 + m_Frustum[i][B] * y2 + m_Frustum[i][C] * z2 + m_Frustum[i][D] > 0) continue; // If we get here, it isn't in the frustum return false; } // Return a true for the box being inside of the frustum return true; }

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  • width of a frustum at a given distance from the near plane

    - by structolite
    I'm using CML to manage the 3D math in an OpenGL-based interface project I'm making for work. I need to know the width of the viewing frustum at a given distance from the eye point, which is kept as a part of a 4x4 matrix that represents the camera. My goal is to position gui objects along the apparent edge of the viewport, but at some distance into the screen from the near clipping plane. CML has a function to extract the planes of the frustum, giving them back in Ax + By + Cz + D = 0 form. This frustum is perpendicular to the camera, which isn't necessarily aligned with the z axis of the perspective projection. I'd like to extract x and z coordinates so as to pin graphical elements to the sides of the screen at different distances from the camera. What is the best way to go about doing it? Thanks!

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  • place and show pixel in the Cartesian plane graph in JavaFX

    - by user3671803
    I have this method to draw the Cartesian plane in JavaFX, using canvas and would like to know if it is possible to place or show the pixel: public class Grafics extends StackPane { private Canvas canvas; public void Grafics(){ GridPane grid = new GridPane(); grid.setPadding(new Insets(5)); grid.setHgap(10); grid.setVgap(10); canvas = new Canvas(); canvas.setHeight(500); canvas.setWidth(700); GridPane.setHalignment(canvas, HPos.CENTER); grid.add(canvas, 0, 2); GraphicsContext gc = canvas.getGraphicsContext2D(); gc.setFill(Color.BLACK); gc.fillRect(0, 0, canvas.getWidth(), canvas.getHeight()); gc.setFill(Color.WHITE); gc.fillRect(1, 1, canvas.getWidth() - 2, canvas.getHeight() - 2); drawAxesXY(gc); //call the method drawAxes getChildren().addAll(grid);// add an gridpane in stackpane } private void drawAxesXY(GraphicsContext gc1) { PixelWriter pixelWriter = canvas.getGraphicsContext2D().getPixelWriter(); gc1.setFill(Color.WHITE); gc1.setStroke(Color.BLACK); gc1.setLineWidth(1.5); gc1.strokeText("Y", 350, 30); gc1.scale(1, 1); gc1.translate((canvas.getHeight() / 50) - (canvas.getWidth() / 10), canvas.getHeight() / 50); gc1.strokeLine(canvas.getWidth() - 300, canvas.getWidth() - 300, canvas.getHeight() - 100, canvas.getHeight() / 30); pixelWriter.setColor(300, 300, Color.RED); gc1.strokeText("X", 620, 220); gc1.translate(canvas.getWidth() - (canvas.getHeight() / 10), -220); gc1.rotate(90.0); gc1.setFill(Color.WHITE); gc1.setStroke(Color.RED); gc1.setLineWidth(1.5); gc1.strokeLine(canvas.getWidth() - 250, canvas.getWidth() - 250, canvas.getHeight() - 50, canvas.getHeight() / 30); pixelWriter.setColor(620, 220, Color.RED); } } I put a line black and the other red http://postimg.org/image/tewjhco4z/ and I wanna know if is possible to place or show the pixel in Figure like this http://postimg.org/image/98k9mvnb3/

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  • creating a 3d plane using Frank Luna's technique

    - by numerical25
    I am creating a 3d plane that lays on the x and z axis. and has hills that extend on the y axis. bulk of the code looks like this float PeaksAndValleys::getHeight(float x, float z)const { return 0.3f*( z*sinf(0.1f*x) + x*cosf(0.1f*z) ); } void PeaksAndValleys::init(ID3D10Device* device, DWORD m, DWORD n, float dx) { md3dDevice = device; mNumRows = m; mNumCols = n; mNumVertices = m*n; mNumFaces = (m-1)*(n-1)*2; // Create the geometry and fill the vertex buffer. std::vector<Vertex> vertices(mNumVertices); float halfWidth = (n-1)*dx*0.5f; float halfDepth = (m-1)*dx*0.5f; for(DWORD i = 0; i < m; ++i) { float z = halfDepth - i*dx; for(DWORD j = 0; j < n; ++j) { float x = -halfWidth + j*dx; // Graph of this function looks like a mountain range. float y = getHeight(x,z); vertices[i*n+j].pos = D3DXVECTOR3(x, y, z); // Color the vertex based on its height. if( y < -10.0f ) vertices[i*n+j].color = BEACH_SAND; else if( y < 5.0f ) vertices[i*n+j].color = LIGHT_YELLOW_GREEN; else if( y < 12.0f ) vertices[i*n+j].color = DARK_YELLOW_GREEN; else if( y < 20.0f ) vertices[i*n+j].color = DARKBROWN; else vertices[i*n+j].color = WHITE; } } D3D10_BUFFER_DESC vbd; vbd.Usage = D3D10_USAGE_IMMUTABLE; vbd.ByteWidth = sizeof(Vertex) * mNumVertices; vbd.BindFlags = D3D10_BIND_VERTEX_BUFFER; vbd.CPUAccessFlags = 0; vbd.MiscFlags = 0; D3D10_SUBRESOURCE_DATA vinitData; vinitData.pSysMem = &vertices[0]; HR(md3dDevice->CreateBuffer(&vbd, &vinitData, &mVB)); // Create the index buffer. The index buffer is fixed, so we only // need to create and set once. std::vector<DWORD> indices(mNumFaces*3); // 3 indices per face // Iterate over each quad and compute indices. int k = 0; for(DWORD i = 0; i < m-1; ++i) { for(DWORD j = 0; j < n-1; ++j) { indices[k] = i*n+j; indices[k+1] = i*n+j+1; indices[k+2] = (i+1)*n+j; indices[k+3] = (i+1)*n+j; indices[k+4] = i*n+j+1; indices[k+5] = (i+1)*n+j+1; k += 6; // next quad } } D3D10_BUFFER_DESC ibd; ibd.Usage = D3D10_USAGE_IMMUTABLE; ibd.ByteWidth = sizeof(DWORD) * mNumFaces*3; ibd.BindFlags = D3D10_BIND_INDEX_BUFFER; ibd.CPUAccessFlags = 0; ibd.MiscFlags = 0; D3D10_SUBRESOURCE_DATA iinitData; iinitData.pSysMem = &indices[0]; HR(md3dDevice->CreateBuffer(&ibd, &iinitData, &mIB)); } My question pretains to the cosf and sinf. I am formiluar with trigonometry and I understand sin, cosine, and tangent. but I am not formiluar with cosf and sinf and what they do. From looking at this example. they have alot to do with finding a y value.

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  • How to rotate a set of points on z = 0 plane in 3-D, preserving pairwise distances?

    - by cagirici
    I have a set of points double n[] on the plane z = 0. And I have another set of points double[] m on the plane ax + by + cz + d = 0. Length of n is equal to length of m. Also, euclidean distance between n[i] and n[j] is equal to euclidean distance between m[i] and m[j]. I want to rotate n[] in 3-D, such that for all i, n[i] = m[i] would be true. In other words, I want to turn a plane into another plane, preserving the pairwise distances. Here's my code in java. But it does not help so much: double[] rotate(double[] point, double[] currentEquation, double[] targetEquation) { double[] currentNormal = new double[]{currentEquation[0], currentEquation[1], currentEquation[2]}; double[] targetNormal = new double[]{targetEquation[0], targetEquation[1], targetEquation[2]}; targetNormal = normalize(targetNormal); double angle = angleBetween(currentNormal, targetNormal); double[] axis = cross(targetNormal, currentNormal); double[][] R = getRotationMatrix(axis, angle); return rotated; } double[][] getRotationMatrix(double[] axis, double angle) { axis = normalize(axis); double cA = (float)Math.cos(angle); double sA = (float)Math.sin(angle); Matrix I = Matrix.identity(3, 3); Matrix a = new Matrix(axis, 3); Matrix aT = a.transpose(); Matrix a2 = a.times(aT); double[][] B = { {0, axis[2], -1*axis[1]}, {-1*axis[2], 0, axis[0]}, {axis[1], -1*axis[0], 0} }; Matrix A = new Matrix(B); Matrix R = I.minus(a2); R = R.times(cA); R = R.plus(a2); R = R.plus(A.times(sA)); return R.getArray(); } This is what I get. The point set on the right side is actually part of a point set on the left side. But they are on another plane. Here's a 2-D representation of what I try to do: There are two lines. The line on the bottom is the line I have. The line on the top is the target line. The distances are preserved (a, b and c). Edit: I have tried both methods written in answers. They both fail (I guess). Method of Martijn Courteaux public static double[][] getRotationMatrix(double[] v0, double[] v1, double[] v2, double[] u0, double[] u1, double[] u2) { RealMatrix M1 = new Array2DRowRealMatrix(new double[][]{ {1,0,0,-1*v0[0]}, {0,1,0,-1*v0[1]}, {0,0,1,0}, {0,0,0,1} }); RealMatrix M2 = new Array2DRowRealMatrix(new double[][]{ {1,0,0,-1*u0[0]}, {0,1,0,-1*u0[1]}, {0,0,1,-1*u0[2]}, {0,0,0,1} }); Vector3D imX = new Vector3D((v0[1] - v1[1])*(u2[0] - u0[0]) - (v0[1] - v2[1])*(u1[0] - u0[0]), (v0[1] - v1[1])*(u2[1] - u0[1]) - (v0[1] - v2[1])*(u1[1] - u0[1]), (v0[1] - v1[1])*(u2[2] - u0[2]) - (v0[1] - v2[1])*(u1[2] - u0[2]) ).scalarMultiply(1/((v0[0]*v1[1])-(v0[0]*v2[1])-(v1[0]*v0[1])+(v1[0]*v2[1])+(v2[0]*v0[1])-(v2[0]*v1[1]))); Vector3D imZ = new Vector3D(findEquation(u0, u1, u2)); Vector3D imY = Vector3D.crossProduct(imZ, imX); double[] imXn = imX.normalize().toArray(); double[] imYn = imY.normalize().toArray(); double[] imZn = imZ.normalize().toArray(); RealMatrix M = new Array2DRowRealMatrix(new double[][]{ {imXn[0], imXn[1], imXn[2], 0}, {imYn[0], imYn[1], imYn[2], 0}, {imZn[0], imZn[1], imZn[2], 0}, {0, 0, 0, 1} }); RealMatrix rotationMatrix = MatrixUtils.inverse(M2).multiply(M).multiply(M1); return rotationMatrix.getData(); } Method of Sam Hocevar static double[][] makeMatrix(double[] p1, double[] p2, double[] p3) { double[] v1 = normalize(difference(p2,p1)); double[] v2 = normalize(cross(difference(p3,p1), difference(p2,p1))); double[] v3 = cross(v1, v2); double[][] M = { { v1[0], v2[0], v3[0], p1[0] }, { v1[1], v2[1], v3[1], p1[1] }, { v1[2], v2[2], v3[2], p1[2] }, { 0.0, 0.0, 0.0, 1.0 } }; return M; } static double[][] createTransform(double[] A, double[] B, double[] C, double[] P, double[] Q, double[] R) { RealMatrix c = new Array2DRowRealMatrix(makeMatrix(A,B,C)); RealMatrix t = new Array2DRowRealMatrix(makeMatrix(P,Q,R)); return MatrixUtils.inverse(c).multiply(t).getData(); } The blue points are the calculated points. The black lines indicate the offset from the real position.

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  • What is the kd tree intersection logic?

    - by bobobobo
    I'm trying to figure out how to implement a KD tree. On page 322 of "Real time collision detection" by Ericson The text section is included below in case Google book preview doesn't let you see it the time you click the link text section Relevant section: The basic idea behind intersecting a ray or directed line segment with a k-d tree is straightforward. The line is intersected against the node's splitting plane, and the t value of intersection is computed. If t is within the interval of the line, 0 <= t <= tmax, the line straddles the plane and both children of the tree are recursively descended. If not, only the side containing the segment origin is recursively visited. So here's what I have: (open image in new tab if you can't see the lettering) The logical tree Here the orange ray is going thru the 3d scene. The x's represent intersection with a plane. From the LEFT, the ray hits: The front face of the scene's enclosing cube, The (1) splitting plane The (2.2) splitting plane The right side of the scene's enclosing cube But here's what would happen, naively following Ericson's basic description above: Test against splitting plane (1). Ray hits splitting plane (1), so left and right children of splitting plane (1) are included in next test. Test against splitting plane (2.1). Ray actually hits that plane, (way off to the right) so both children are included in next level of tests. (This is counter-intuitive - shouldn't only the bottom node be included in subsequent tests) Can some one describe what happens when the orange ray goes through the scene correctly?

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  • Incorrect results for frustum cull

    - by DeadMG
    Previously, I had a problem with my frustum culling producing too optimistic results- that is, including many objects that were not in the view volume. Now I have refactored that code and produced a cull that should be accurate to the actual frustum, instead of an axis-aligned box approximation. The problem is that now it never returns anything to be in the view volume. As the mathematical support library I'm using does not provide plane support functions, I had to code much of this functionality myself, and I'm not really the mathematical type, so it's likely that I've made some silly error somewhere. As follows is the relevant code: class Plane { public: Plane() { r0 = Math::Vector(0,0,0); normal = Math::Vector(0,1,0); } Plane(Math::Vector p1, Math::Vector p2, Math::Vector p3) { r0 = p1; normal = Math::Cross((p2 - p1), (p3 - p1)); } Math::Vector r0; Math::Vector normal; }; This class represents one plane as a point and a normal vector. class Frustum { public: Frustum( const std::array<Math::Vector, 8>& points ) { planes[0] = Plane(points[0], points[1], points[2]); planes[1] = Plane(points[4], points[5], points[6]); planes[2] = Plane(points[0], points[1], points[4]); planes[3] = Plane(points[2], points[3], points[6]); planes[4] = Plane(points[0], points[2], points[4]); planes[5] = Plane(points[1], points[3], points[5]); } Plane planes[6]; }; The points are passed in order where (the inverse of) each bit of the index of each point indicates whether it's the left, top, and back of the frustum, respectively. As such, I just picked any three points where they all shared one bit in common to define the planes. My intersection test is as follows (based on this): bool Intersects(Math::AABB lhs, const Frustum& rhs) const { for(int i = 0; i < 6; i++) { Math::Vector pvertex = lhs.TopRightFurthest; Math::Vector nvertex = lhs.BottomLeftClosest; if (rhs.planes[i].normal.x <= -0.0f) { std::swap(pvertex.x, nvertex.x); } if (rhs.planes[i].normal.y <= -0.0f) { std::swap(pvertex.y, nvertex.y); } if (rhs.planes[i].normal.z <= -0.0f) { std::swap(pvertex.z, nvertex.z); } if (Math::Dot(rhs.planes[i].r0, nvertex) < 0.0f) { return false; } } return true; } Also of note is that because I'm using a left-handed co-ordinate system, I wrote my Cross function to return the negative of the formula given on Wikipedia. Any suggestions as to where I've made a mistake?

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  • signed angle between two 3d vectors with same origin within the same plane? recipe?

    - by Advanced Customer
    Was looking through the web for an answer but it seems like there is no clear recipe for it. What I need is a signed angle of rotation between two vectors Va and Vb lying within the same 3D plane and having the same origin knowing that: the plane contatining both vectors is an arbitrary and is not parallel to XY or any other of cardinal planes Vn - is a plane normal both vectors along with the normal have the same origin O = { 0, 0, 0 } Va - is a reference for measuring the left handed rotation at Vn The angle should be measured in such a way so if the plane would be XY plane the Va would stand for X axis unit vector of it. I guess I should perform a kind of coordinate space transformation by using the Va as the X-axis and the cross product of Vb and Vn as the Y-axis and then just using some 2d method like with atan2() or something. Any ideas? Formulas?

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  • slick2d missiles

    - by kirchhoff
    Hey I'm making a game in java with slick2d and I want to create planes which shoots: int maxBullets = 40; static int bullet = 0; Missile missile[] = new Missile[maxBullets]; I want to create/move my missiles in the most efficient way, I would appreciate your advises: public void shoot() throws SlickException{ if(bullet<maxBullets){ if(missile[bullet] != null){ missile[bullet].resetLocation(plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); }else{ missile[bullet] = new Missile("resources/missile.png", plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); } }else{ bullet = 0; missile[bullet].resetLocation(plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); } bullet++; } I created the method "resetLocation" in my Missile class in order to avoid loading again the resource. Is it correct? In the update method I've got this to move all the missiles: if(bullet > 0 && bullet < maxBullets){ float hyp = 0.4f * delta; if(bullet == 1){ missile[0].move(hyp); }else{ for(int x = 0; x<bullet; x++){ missile[x].move(hyp); } } }

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  • What is the most efficient way to add and removed Slick2D sprites?

    - by kirchhoff
    I'm making a game in Java with Slick2D and I want to create planes which shoots: int maxBullets = 40; static int bullet = 0; Missile missile[] = new Missile[maxBullets]; I want to create/move my missiles in the most efficient way, I would appreciate your advise: public void shoot() throws SlickException{ if(bullet<maxBullets){ if(missile[bullet] != null){ missile[bullet].resetLocation(plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); }else{ missile[bullet] = new Missile("resources/missile.png", plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); } }else{ bullet = 0; missile[bullet].resetLocation(plane.getCentreX(), plane.getCentreY(), plane.image.getRotation()); } bullet++; } I created the method resetLocation in my Missile class in order to avoid loading again the resource. Is it correct? In the update method I've got this to move all the missiles: if(bullet > 0 && bullet < maxBullets){ float hyp = 0.4f * delta; if(bullet == 1){ missile[0].move(hyp); }else{ for(int x = 0; x<bullet; x++){ missile[x].move(hyp); } } }

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