Translate along local axis

Posted by Aaron on Game Development See other posts from Game Development or by Aaron
Published on 2012-07-05T16:21:40Z Indexed on 2012/07/05 21:25 UTC
Read the original article Hit count: 242

Filed under:

3d

|

matrix

|

transformation

I have an object with a position matrix and a rotation matrix (derived from a quaternion, but I digress). I'm able to translate this object along world-relative vectors, but I'm trying to figure out how to translate it along local-relative vectors. So if the object is tilted 45 degrees around its Z-axis the vector (1, 0, 0) would make it move to the upper right.

For world-space translations I simply turn the movement vector into a matrix and multiply it by the position matrix: position_mat = translation_mat * position_mat. For local-space translations I'd think I'd have to use the rotation matrix into that formula, but I see the object spin around instead when I apply a translation over time no matter where I multiply the rotation matrix.

© Game Development or respective owner

Related posts about 3d

How to convert videos to 3D format so that I can watch them with 3D glasses

as seen on Super User - Search for 'Super User'
Are there any softwares to convert 2D videos to 3D (preferably XviD avi) so that I can watch them with 3D glasses? No matter if it's freeware or shareware. >>> More
In Email, Image (img) Source (src) Tags are rewritten as relative links. How to fix?

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm working on sending out an html based email, and every time it sends the image src tags and some of the anchor href tags are modified to be relative url's. Update 2: This is happening between when the body of the email is generated and sent and when it arrives in my inbox. Update: I am using… >>> More
WPF 3D - Need help writing conversion methods between 2D and 3D (Point3DToPoint and PointAndZToPoint

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm new to WPF 3D, so I may just be missing something obvious, but how do I convert from 3D to 2D and (for a given z location) from 2D to 3D? Specifically, I need two conversion methods: Point3DToPoint - If I have an (x, y, z) coordinate in the 3D world, how do I determine the (x, y) coordinate… >>> More
3D point on 3D mesh surface

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi All, How can I get a 3D point on 3D mesh surface made up triangulars ? The 3D point may be anywhere on the 3D surface. Thanks. M.Ken >>> More
Matlab 3d volume visualization and 3d overlay

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi, so the question ist pretty much the title. I have a 3d volume loaded as raw data [256, 256, 256] = size(A). It contains only values of zero's and ones, where the 1's represent the structure and 0's the "air". I want to visualize the structure in matlab and then run an algorithm on it and put… >>> More

Related posts about matrix

Find the "largest" dense sub matrix in a large sparse matrix

as seen on Stack Overflow - Search for 'Stack Overflow'
Given a large sparse matrix (say 10k+ by 1M+) I need to find a subset, not necessarily continuous, of the rows and columns that form a dense matrix (all non-zero elements). I want this sub matrix to be as large as possible (not the largest sum, but the largest number of elements) within some aspect… >>> More
How does a template class inherit another template class?

as seen on Stack Overflow - Search for 'Stack Overflow'
I have a "SquareMatrix" template class which inherits "Matrix" template class, like below: SquareMatrix.h: #ifndef SQUAREMATRIX_H #define SQUAREMATRIX_H #include "Matrix.h" template <class T> class SquareMatrix : public Matrix<T> { public: T GetDeterminant(); }; template… >>> More
iPhone OpenGL ES: How do I use gravity vector to correctly transform scene for augmented reality

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
How do I use the gravity vector to correctly transform scene for augmented reality?

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm trying figure out how to get an OpenGL specified object to be displayed correctly according to the device orientation (ie. according to the gravity vector from the accelerometer, and heading from compass). The GLGravity sample project has an example which is almost like this (despite ignoring… >>> More
C++ templates - matrix class

as seen on Stack Overflow - Search for 'Stack Overflow'
Hi I'm learning templates in C++ so I decied to write matrix class which would be a template class. In Matrix.h file I wrote #pragma once #include "stdafx.h" #include <vector> using namespace std; template<class T> class Matrix { public: Matrix(); ~Matrix(); GetDataVector(); … >>> More