5 ms·
This is cool, I briefly read through the paper, one thing I’m curious of is how hard it would be to add ability to do scale transformation (eg zoom in/zoom out)
by foooobaba 4y ago
This is cool, I briefly read through the paper, one thing I’m curious of is how hard it would be to add ability to do scale transformation (eg zoom in/zoom out) in addition to translation and rotational transformations. Would it be as simple as just adding a scale factor to the optimization objective and rework a bit of the math?
- nighthawk454 4y agoI think you're looking for the Procrustes transform, which uses SVD to optimize a minimal transform for rotation, translation, _and_ scale. https://en.wikipedia.org/wiki/Orthogonal_Procrustes_problem https://en.wikipedia.org/wiki/Orthogonal_Procrustes_problem
- foooobaba 4y agoWow, yes this looks like it will do the job!
- chpatrick 4y agohttps://web.stanford.edu/class/cs273/refs/umeyama.pdf https://web.stanford.edu/class/cs273/refs/umeyama.pdf