ReMatching: Low-Resolution Representations for Scalable Shape Correspondence

Abstract

We introduce ReMatching, a novel shape correspondence solution based on the functional maps framework. Our method, by exploiting a new and appropriate re-meshing paradigm, can target shape-matching tasks even on meshes counting millions of vertices, where the original functional maps does not apply or requires a massive computational cost. The core of our procedure is a time-efficient remeshing algorithm which constructs a low-resolution geometry while acting conservatively on the original topology and metric. These properties allow translating the functional maps optimization problem on the resulting low-resolution representation, thus enabling efficient computation of correspondences with functional map approaches. Finally, we propose an efficient technique for extending the estimated correspondence to the original meshes. We show that our method is more efficient and effective through quantitative and qualitative comparisons, outperforming state-of-the-art pipelines in quality and computational cost.

Publication
Proc. ECCV
Filippo Maggioli
Filippo Maggioli
Postdoctoral Researcher

Postdoctoral researcher @ Sapienza, University of Rome | former PhD visiting @ KAUST, King Abdullah University of Science and Technology

Daniele Baieri
Daniele Baieri
PhD Student

Ph.D. student @ Sapienza, University of Rome

Emanuele Rodolà
Emanuele Rodolà
Full Professor
Simone Melzi
Simone Melzi
Assistant Professor

Assistant Professor at the University of Milano-Bicocca