Topology | Differential geometry | Digital geometry

Heat kernel signature

A heat kernel signature (HKS) is a feature descriptor for use in deformable shape analysis and belongs to the group of spectral shape analysis methods. For each point in the shape, HKS defines its feature vector representing the point's local and global geometric properties. Applications include segmentation, classification, structure discovery, shape matching and shape retrieval. HKS was introduced in 2009 by Jian Sun, Maks Ovsjanikov and Leonidas Guibas. It is based on heat kernel, which is a fundamental solution to the heat equation. HKS is one of the many recently introduced shape descriptors which are based on the Laplace–Beltrami operator associated with the shape. (Wikipedia).

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Related pages

Polygon mesh | Shape analysis (digital geometry) | Compact space | Schrödinger equation | Rigid transformation | Spectral shape analysis | Laplace–Beltrami operator | Riemannian manifold | Heat equation | Scalar curvature | Heat kernel