Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Computer Graphics Forum Année : 2022

Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases

Résumé

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.
Fichier principal
Vignette du fichier
CGF2022_LandmarkFmaps_cmp.pdf (3.82 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03912176 , version 1 (23-12-2022)

Identifiants

Citer

Mikhail Panine, Maxime Kirgo, Maks Ovsjanikov. Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases. Computer Graphics Forum, 2022, 41 (6), pp.394-417. ⟨10.1111/cgf.14579⟩. ⟨hal-03912176⟩
4 Consultations
29 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More