Spectral Meets Spatial: Harmonising 3D Shape Matching and Interpolation

NeuroMorph Ours Source Target pose-dominant shape-dominant 3D shape interpolation 3D shape matching Source URSSM Ours Target Figure 1. Top: 3D shape interpolation. Compared to the SOTA shape interpolation method NeuroMorph [29], our method obtains more reliable interpolation even under large non-isometry. Bottom left: 3D shape matching. The point-wise correspondences found by the SOTA shape matching method URSSM [13] contains local mismatches. In contrast, our method enables smooth shape matching. Bottom right: 3D shape matching and interpolation.

Our method is the first unsupervised method that obtains both accurate correspondences (shown as texture transfer) and realistic interpolation that capture both the pose-dominant and shape-dominant deformations.