Extracting Scaling from a Matrix4

[Neo]

Greetings,

I need to interpolate transformations between two matrices, unless there is a fucntion that do just that, I need to extract all transformations separately and interpolate the transformations one by one and rebuild a new matrix from the result. To help me in this process, UT_DMatrix4::getTranslates and UT_DMatrix4::extractRotation are very handy but my question is:

How do we get the scaling from a UT_DMatrix4?

[mightcouldb1]

I'm not sure if there is a method off of the top of my head.

You could extract the scale by taking vec3.x = matrix4[0][0], vec3.y = matrix4[1][1], vec3.z = matrix4[2][2] since the scale is stored along the diagonal.

I suggest looking at spherical linear interpolation. I think that there would be a slerp and lerp function in the HDK for matrices.

Edit:

Also, this website is very good.

http://www.euclideanspace.com/maths/algebra/matrix/transforms/index.htm

Edited June 6, 2012 by mightcouldb1

[0rr]

You can use the explode method do get sperate translation,scale and rotation matrices.

[edward]

If you want to do it the "best" way, you should use UT_Matrix3::splitRotationScale() (assign to a UT_Matrix3 variable from your UT_Matrix4 variable to use the method). This gives you back rotation/scale matrices which can then be extracted for interpolation (UT_Quaternion for the rotation, component-wise interpolation for the scale). For an idea of what could go wrong for bad cases, look at the pictures from this 1992 paper http://research.cs.w...olar-decomp.pdf

[Neo]

Thank you all for your suggestions, I managed to exorcised any Math reference whit my own library. Much simpler that way.