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.^[1] 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.^[2]

^ Sun, J. and Ovsjanikov, M. and Guibas, L. (2009). "A Concise and Provably Informative Multi-Scale Signature-Based on Heat Diffusion". Computer Graphics Forum. Vol. 28. pp. 1383–1392.{{cite conference}}: CS1 maint: multiple names: authors list (link)
^ Alexander M. Bronstein (2011). "Spectral descriptors for deformable shapes". arXiv:1110.5015. Bibcode:2011arXiv1110.5015B. {{cite journal}}: Cite journal requires |journal= (help)

[sun2009concise-1] Sun, J. and Ovsjanikov, M. and Guibas, L. (2009). "A Concise and Provably Informative Multi-Scale Signature-Based on Heat Diffusion". Computer Graphics Forum. Vol. 28. pp. 1383–1392.{{cite conference}}: CS1 maint: multiple names: authors list (link)

[bronstein2011spectral-2] Alexander M. Bronstein (2011). "Spectral descriptors for deformable shapes". arXiv:1110.5015. Bibcode:2011arXiv1110.5015B. {{cite journal}}: Cite journal requires |journal= (help)

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