I had a discussion about it on Discord channel and one solution I got is to store positions of bones in point clouds with a python script, then create geometry from each of the cloud and use this geometry as blendshapes. This, however, feels like a big workaround and I cannot believe that Houdini doesn't have any option to store frozen transform data for multiple objects, that you could later add or interpolate.
Do you have any other ideas how I could approach this problem? Bear in mind that I'm a Houdini beginner, a slightly more extensive explanation is always appreciated
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