reflection paths between points in2d

Posted by Chris H on Stack Overflow See other posts from Stack Overflow or by Chris H
Published on 2010-04-20T00:42:27Z Indexed on 2010/04/20 1:33 UTC
Read the original article Hit count: 338

Filed under:

geometry

|

search

|

math

|

algorithm

Just wondering if there was a nice (already implemented/documented) algorithm to do the following
boo!
Given any shape (without crossing edges) and two points inside that shape, compute all the paths between the two points such that all reflections are perfect reflections. The path lengths should be limited to a certain length otherwise there are infinite solutions. I'm not interested in just shooting out rays to try to guess how close I can get, I'm interested in algorithms that can do it perfectly. Search based, not guess/improvement based.

© Stack Overflow or respective owner

Related posts about geometry

GLSL check if fragment is on geometry

as seen on Stack Overflow - Search for 'Stack Overflow'
I am currently writing the positions of my geometry to the RGB channels of gl_FragColor and I would like to write 1.0 to the alpha channel if the fragment is part of geometry, and 0.0 if its empty. Is there a simple way to tell if a fragment is geometry or not? Maybe through gl_FragCoord.z? thanks >>> More
In JTS, when I do geometry.buffer(1).buffer(-1), will the resulting geometry be equivalent to the or

as seen on Stack Overflow - Search for 'Stack Overflow'
I was having problems while intersecting two geometries, getting a TopologyException probably due to a rounding error during the operation, then I read this fix and tried a buffer(0) on both input geometries, but still without success. Then I tried geo.buffer(1).buffer(-1) and it worked. Will these… >>> More
Multiple mesh with one geometry and diferent textures. Error

as seen on Stack Overflow - Search for 'Stack Overflow'
I have a loop where I create a multiple Mesh with different geometry, because each mesh has one texture: .... var geoCube = new THREE.CubeGeometry(voxelSize, voxelSize, voxelSize); var geometry = new THREE.Geometry(); for( var i = 0; i < voxels.length; i++ ){ var voxel = voxels[i]; var object; … >>> More
How to read verbose VC++ linker output

as seen on Stack Overflow - Search for 'Stack Overflow'
Trying to debug some linker errors, I turned on /VERBOSE and I'm trying to make sense of the output. It occurs to me that I really don't know how to read it. For example: 1>Compiling version info 1>Linking... 1>Starting pass 1 1>Processed /DEFAULTLIB:mfc80.lib 1>Processed /DEFAULTLIB:mfcs80… >>> More
Drawing a rectangular prism using opengl

as seen on Game Development - Search for 'Game Development'
I'm trying to learn opengl. I did some code for building a rectangular prism. I don't want to draw back faces so I used glCullFace(GL_BACK), glEnable(GL_CULL_FACE);. But I keep getting back faces also when viewing from front and also sometimes when rotating sides are vanishing. Can someone point me… >>> More

Related posts about search

"Error in the Site Data Web Service." when performing crawl

as seen on Server Fault - Search for 'Server Fault'
Installed SharePoint Services v3 (SP2, october 2009 cumulative updates, Language Pack), attached to a content database I had previously (all works). Installed Search server 2008 Express (with language pack) on top of WSS and crawl does not work. However it works for newly created web application +… >>> More
Search Alternative Search Engines from within Bing’s Search Page

as seen on How to geek - Search for 'How to geek'
So you love using Bing Search but may still be curious to see what another search engine will provide if used. Now you can search using another search engine from within the Bing Search page and enjoy numbered results using two simple user scripts. Note: These user scripts may also be added to other… >>> More
CONVERT(int, (datepart(month, @search)), (datepart(day, @search)), DateAdd(year, Years.Year - (datepart(year, @search)))

as seen on Stack Overflow - Search for 'Stack Overflow'
In the query the top part is getting all the years that will run in the stored procedure. Works fine But at first i just wanted to run the queries for yesterdays date for all the years, but now i realized i want the user to select a date that will be in a parameter @search Booked <= CONVERT(int… >>> More
Am?lioration du Search MOSS: synonyme et Best Bet - La gestion des synonymes dans MOSS Search

as seen on ASP-PHP.net - Search for 'ASP-PHP.net'
Le moteur de recherche de MOSS permet la configuration d'une liste de synonymes. Nous verrons donc dans cet article comment effectuer cette tache et ce que cela peut apporter ? vos utilisateurs. Nous verrons aussi comment automatiser un peu plus cette configuration par l'utilisation de code ou d'outils… >>> More
Utiliser un MOSS 2007 Search avec SPS 2003 - Comment utiliser un MOSS Search avec SPS Portail

as seen on ASP-PHP.net - Search for 'ASP-PHP.net'
Microsoft Office SharePoint Server 2007 (MOSS) fournit de nombreuses fonctionnalit?s qui ne sont pas disponibles sous SharePoint Portal Server 2003 (SPS). C'est particuli?rement vrai pour le moteur de recherche. Ce moteur de recherche peut pourtant ?tre utilis? sans attendre une ?volution du site… >>> More