The Wave Kernel Signature: A Quantum Mechanical Approach To Shape Analysis
IEEE International Conference on Computer Vision (ICCV) - Workshop on Dynamic Shape Capture and Analysis (4DMOD), 2011
Wave Kernel Signature
Mathieu Aubry, Ulrich Schlickewei, Daniel Cremers
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
Pose-Consistent 3D Shape Segmentation Based on a Quantum Mechanical Feature Descriptor
Pattern Recognition (Proc. DAGM), Springer, 2011
News
If you are interested in spectral methods in shape amalysis, look at our NORDIA 2014 paper on Anisotropic Laplace-Beltrami Operators for Shape Analysis .Copyright Notice
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