Abstract

Estimating correspondence between two shapes continues to be a challenging problem in geometry processing. Most current methods assume deformation to be near-isometric, however this is often not the case. For this paper, a collection of shapes of different animals has been curated, where parts of the animals (e.g., mouths, tails & ears) correspond yet are naturally non-isometric. Ground-truth correspondences were established by asking three specialists to independently label corresponding points on each of the models with respect to a previously labelled reference model. We employ an algorithmic strategy to select a single point for each correspondence that is representative of the proposed labels. A novel technique that characterises the sparsity and distribution of correspondences is employed to measure the performance of ten shape correspondence methods.

Highlights

  • With a decade passing since the release of the first Kinect, the last decade has seen a large increase in the number of low-cost 3D capturing devices available

  • Further evaluation may be done by using the proposed algorithm in an application that requires a correspondence mapping. For this track we have identified a set of synthetic models and real-world scans of 3D shapes, four-legged animals, and produced a set of ground-truth correspondences

  • The results demonstrate that the method obtains better results than other state-of-the-art non-rigid registration and correspondence methods [6,44]

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Summary

Introduction

With a decade passing since the release of the first Kinect, the last decade has seen a large increase in the number of low-cost 3D capturing devices available. With state-of-the-art methods [2,3,4] achieving superior performance in current nonisometric scenarios, there is presently an absence of valuable benchmark datasets for non-isometric shape correspondence. Current error measurements fail to capture valuable quantitative information about the sparsity and distribution of correspondences. Systematic evaluation of the performance of a selection of recent shape correspondence methods, with additional quantitative insights into performance from our novel measure. Organisation This report is organised as follows: Section 2 discusses previous works on quadruped benchmarks and their relation to current human body research, as well as discussing correspondence evaluation techniques.

Correspondence datasets
Correspondence measures
Dataset
Initial correspondences
Baseline N-ICP
Non-rigid registration under anisotropic deformations
Method
Efficient Deformable Shape Correspondence via Kernel Matching
Deblurring and Denoising of Maps between Shapes
Partial Functional Correspondence
Continuous and Orientation-preserving Correspondences via Functional Maps
CMH Connectivity Transfer
ZoomOut
Evaluation
Surface coverage measure
Surface coverage
Geodesic error
Conclusion
Declaration of Competing Interest
Full Text
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