Interpolating Transformation Matrix Non Linear

[Drughi]

I have a little challange for you guys:

How to interpolate a transformation matrix of an instance point in a non linear fashion?

Here is a file for you to give it a try.

interpolate_transforms.hiplc

[Drughi]

Just in case someone want's to do something similar. I've ended up just using the spline function. Instead of a matrix I've choose quaternions and the position vector wich gave me quite acurate results.

Edited September 28, 2021 by Drughi

[jkunz07]

There's no reliable way to slerp matrices as far as I know, typically people will convert the rotation to quaternion then slerp.  You can then store the result as a matrix by converting from quaternion back to matrix.

 

This example shows a lerp of the translates, scales and slerp of rotations with the result converted back to matrix.

Edited September 28, 2021 by jkunz07

[mestela]

Sorta dodging your question really, but I found you can cheat this by getting 3 samples ($F, $F-0.5, $F-1) and feeding them to a sequence blend shape with cubic interpolation enabled.

 

interpolate_transforms_via_blendshape.hiplc

 

[Drughi]

Thanks for your ideas. This is what I came up with in the end. I did only a rough interpolation and then used resample and subdivide to get adaptive and smooth samples.

interpolate_transforms.hiplc