Isometric Multi-Shape Matching

by   Maolin Gao, et al.

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence methods aim to find a solution between pairs of shapes, even if multiple instances of the same class are available. While isometries are often studied in shape correspondence problems, they have not been considered explicitly in the multi-matching setting. This paper closes this gap by proposing a novel optimisation formulation for isometric multi-shape matching. We present a suitable optimisation algorithm for solving our formulation and provide a convergence and complexity analysis. Our algorithm obtains multi-matchings that are by construction provably cycle-consistent. We demonstrate the superior performance of our method on various datasets and set the new state-of-the-art in isometric multi-shape matching.


page 1

page 8

page 13

page 15

page 16

page 17

page 18


Geometrically Consistent Partial Shape Matching

Finding correspondences between 3D shapes is a crucial problem in comput...

Multi-layer Random Walks Synchronization for Multi-attributed Multiple Graph Matching

Many applications in computer vision can be formulated as a multiple gra...

CCuantuMM: Cycle-Consistent Quantum-Hybrid Matching of Multiple Shapes

Jointly matching multiple, non-rigidly deformed 3D shapes is a challengi...

On Nonrigid Shape Similarity and Correspondence

An important operation in geometry processing is finding the corresponde...

Isospectralization, or how to hear shape, style, and correspondence

The question whether one can recover the shape of a geometric object fro...

Shape Analysis via Functional Map Construction and Bases Pursuit

We propose a method to simultaneously compute scalar basis functions wit...

G-MSM: Unsupervised Multi-Shape Matching with Graph-based Affinity Priors

We present G-MSM (Graph-based Multi-Shape Matching), a novel unsupervise...

Please sign up or login with your details

Forgot password? Click here to reset