Non-Rigid Puzzles
Or Litany, Emanuele Rodol\`a, Alex Bronstein, Michael Bronstein,, Daniel Cremers

TL;DR
This paper introduces a novel algorithm for non-rigid multi-part shape matching that effectively handles partial views, clutter, overlaps, and missing parts, advancing shape correspondence in complex scenarios.
Contribution
It presents a new method that jointly segments and matches non-rigid shapes with partial data and clutter, improving robustness over existing approaches.
Findings
Effective on synthetic and real scans
Handles clutter, overlaps, and missing parts
Simultaneous segmentation and correspondence
Abstract
Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the shapes are allowed to undergo non-rigid deformations and only partial views are available, the problem becomes very challenging. To this end, we present a non-rigid multi-part shape matching algorithm. We assume to be given a reference shape and its multiple parts undergoing a non-rigid deformation. Each of these query parts can be additionally contaminated by clutter, may overlap with other parts, and there might be missing parts or redundant ones. Our method simultaneously solves for the segmentation of the reference model, and for a dense correspondence to (subsets of) the parts. Experimental results on synthetic as well as real scans demonstrate the…
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