CatRom uses the double reflection method from Wang et. al, Computation of Rotation Minimizing Frames (2008) to compute rotation-minimizing frames. Given a closed CatRom (i.e., a CatRom that loops), there is no guarantee that the last RMF will match the first RMF. A naive solution is to twist the RMF at a constant rate until the first and last RMFs match. However, Wang describes a better way to do this that I have yet to dig into.
ecurtiss
commented
1 month ago
CatRom uses the double reflection method from Wang et. al, Computation of Rotation Minimizing Frames (2008) to compute rotation-minimizing frames. Given a closed CatRom (i.e., a CatRom that loops), there is no guarantee that the last RMF will match the first RMF. A naive solution is to twist the RMF at a constant rate until the first and last RMFs match. However, Wang describes a better way to do this that I have yet to dig into.