Converting 3 axis vectors to a rotation matrix

Posted by user38858 on Game Development See other posts from Game Development or by user38858
Published on 2013-11-09T21:24:05Z Indexed on 2013/11/09 22:12 UTC
Read the original article Hit count: 342

Filed under:

rotation

|

matrix

|

vector

I am trying to get a rotation matrix (in 3dsmax) from 3 vectors that form an axis (all 3 vectors are aligned by 90 degrees each other)

Somewhere I read that I could build a rotation matrix just by inserting in every row one vector at a time (source: http://renderdan.blogspot.cz/2006/05/rotation-matrix-from-axis-vectors.html)

So, I built a matrix with these example vectors

x-axis : [-0.194624,-0.23715,-0.951778]

y-axis : [-0.773012,0.634392,0]

z-axis : [-0.6038,-0.735735,0.306788]

But for some reason, if I try to convert this matrix to eulerangles, I receive this rotation: (eulerAngles 47.7284 6.12831 36.8263) ... which is totally wrong, and doesn't align to my 3 vectors at all.

I know that rotation is quite difficult to understand, may someone shed some light? :)

© Game Development or respective owner

Related posts about rotation

Pygame surface rotation, rect rotation or sprite rotation?

as seen on Game Development - Search for 'Game Development'
i seem to have a conceptual misunderstanding of the surface and rect object in pygame. I currently observe these objects this way: Surface Just the loaded image rect the 'hard' representation of the ingame object (sprite). Used for simplifying object moment and collision detection sprite rect… >>> More
Need to translate a Rotation Matrix to Rotation y, x, z OpenGL & Jitter for 3D Game

as seen on Game Development - Search for 'Game Development'
I am using the Jitter Physics engine which gives a rotation matrix: M11 M12 M13 M21 M22 M23 M21 M32 M33 And I need it so OpenGL can use it for rotation GL.Rotate(xr, 1, 0, 0) GL.Rotate(yr, 0, 1, 0) GL.Rotate(zr, 0, 0, 1) Initially I Tried xr = M11 yr = M22 zr = M33 [1 0 0] [0 1 0] [0 0 1] Which… >>> More
Finetuning movement based on gradual rotation towards a target

as seen on Game Development - Search for 'Game Development'
I have an object which moves towards a target destination by gradually adjusting its facing while moving forwards. If the target destination is in a "blind spot", then the object is incapable of reaching it. This problem is ilustrated in the picture below. When the arrow is ordered to move to point… >>> More
2d movement solution

as seen on Game Development - Search for 'Game Development'
Hi! I'm making a simple top-down tank game on the ipad where the user controls the movement of the tank with the left "joystick" and the rotation of the turret with the right one. I've spent several hours just trying to get it to work decently but now I turn to the pros :) I have two referencial… >>> More
2d tank movement and turret solution

as seen on Game Development - Search for 'Game Development'
Hi! I'm making a simple top-down tank game on the ipad where the user controls the movement of the tank with the left "joystick" and the rotation of the turret with the right one. I've spent several hours just trying to get it to work decently but now I turn to the pros :) I have two referencial… >>> 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