Non-isometric shape matching via functional maps on landmark-adapted bases
Informazioni aggiuntive
Autori
Panine M.,
Kirgo M.,
Ovsjanikov M.
Tipo
Articolo pubblicato in rivista scientifica
Anno
2022
Lingua
Inglese
Sommario
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.
Parole chiave
Functional maps, Landmark-based correspondence, Shape matching
Periodico
Computer graphics forum
Volume
41
Pagine (o numero dell’articolo)
394-417
Diffusione
Licenza
CC BY
Visibilità
Pubblico
Status open access
Green
