Wave Kernel Signature

Mathieu Aubry, Ulrich Schlickewei, Daniel Cremers

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Abstract

The Wave Kernel Signature characterize each point of a 3D shape. Each value of the WKS can be intepreted in the framework of quantum mechanic as the average probability to find a particle of a given energy at a given point. Mathematicaly, the WKS is based on the eigen-functions and eigen-values of the Laplace-Beltrami operator on the shape It provides an optimal combination of the eigen-functions values to construct a disciminative and robust descriptor.

Code

You can download a matlab function which compute the WKS of all points of a shape given a set of vertices and faces here

Related Publications

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The Wave Kernel Signature: A Quantum Mechanical Approach To Shape Analysis

M. Aubry, U. Schlickewei, D. Cremers

IEEE International Conference on Computer Vision (ICCV) - Workshop on Dynamic Shape Capture and Analysis (4DMOD), 2011

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Pose-Consistent 3D Shape Segmentation Based on a Quantum Mechanical Feature Descriptor

M. Aubry, U. Schlickewei, D. Cremers

Pattern Recognition (Proc. DAGM), Springer, 2011

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