Efficient deformable shape correspondence via kernel matching

M Vestner, Z Lähner, A Boyarski… - … conference on 3D …, 2017 - ieeexplore.ieee.org
We present a method to match three dimensional shapes under non-isometric deformations,
topology changes and partiality. We formulate the problem as matching between a set of
pair-wise and point-wise descriptors, imposing a continuity prior on the mapping, and
propose a projected descent optimization procedure inspired by difference of convex
functions (DC) programming.

Efficient deformable shape correspondence via kernel matching

Z Lähner, M Vestner, A Boyarski, O Litany… - arXiv preprint arXiv …, 2017 - arxiv.org
We present a method to match three dimensional shapes under non-isometric deformations,
topology changes and partiality. We formulate the problem as matching between a set of
pair-wise and point-wise descriptors, imposing a continuity prior on the mapping, and
propose a projected descent optimization procedure inspired by difference of convex
functions (DC) programming. Surprisingly, in spite of the highly non-convex nature of the
resulting quadratic assignment problem, our method converges to a semantically …
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