Non-isometric shape matching via functional maps on landmark-adapted bases
Additional information
Authors
Panine M.,
Kirgo M.,
Ovsjanikov M.
Type
Journal Article
Year
2022
Language
English
Abstract
We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional map framework, but rather than promoting isometries we focus on near-conformal maps that preserve landmarks exactly. We achieve this, first, by introducing a novel landmark-adapted basis using an intrinsic Dirichlet-Steklov eigenproblem. Second, we establish the functional decomposition of conformal maps expressed in this basis. Finally, we formulate a conformally-invariant energy that promotes high-quality landmark-preserving maps, and show how it can be optimized via a variant of the recently proposed ZoomOut method that we extend to our setting. Our method is descriptor-free, efficient and robust to significant mesh variability. We evaluate our approach on a range of benchmark datasets and demonstrate state-of-the-art performance on non-isometric benchmarks and near state-of-the-art performance on isometric ones.
Keywords
Functional maps, Landmark-based correspondence, Shape matching
Journal
Computer graphics forum
Volume
41
Pages (or article number)
394-417
Diffusion
License
CC BY
Visibility
Public
Status open access
Green
