Full metadata record
DC pole | Hodnota | Jazyk |
---|---|---|
dc.contributor.author | Zobel, Valentin | |
dc.contributor.author | Reininghaus, Jan | |
dc.contributor.author | Hotz, Ingrid | |
dc.contributor.editor | Skala, Václav | |
dc.date.accessioned | 2013-02-14T12:04:25Z | |
dc.date.available | 2013-02-14T12:04:25Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Journal of WSCG. 2011, vol. 19, no. 1-3, p. 93-100. | en |
dc.identifier.issn | 1213–6972 (hardcopy) | |
dc.identifier.issn | 1213–6980 (CD-ROM) | |
dc.identifier.issn | 1213–6964 (on-line) | |
dc.identifier.uri | http://wscg.zcu.cz/WSCG2011/!_2011_J_WSCG_1-3.pdf | |
dc.identifier.uri | http://hdl.handle.net/11025/1251 | |
dc.description.abstract | In this work we propose a generalization of the Heat Kernel Signature (HKS). The HKS is a point signature derived from the heat kernel of the Laplace-Beltrami operator of a surface. In the theory of exterior calculus on a Riemannian manifold, the Laplace-Beltrami operator of a surface is a special case of the Hodge Laplacian which acts on r-forms, i. e. the Hodge Laplacian on 0-forms (functions) is the Laplace-Beltrami operator. We investigate the usefulness of the heat kernel of the Hodge Laplacian on 1-forms (which can be seen as the vector Laplacian) to derive new point signatures which are invariant under isometric mappings. A similar approach used to obtain the HKS yields a symmetric tensor field of second order; for easier comparability we consider several scalar tensor invariants. Computed examples show that these new point signatures are especially interesting for surfaces with boundary. | en |
dc.format | 8 s. | cs |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | Václav Skala - UNION Agency | cs |
dc.relation.ispartofseries | Journal of WSCG | en |
dc.rights | © Václav Skala - UNION Agency | cs |
dc.subject | tvarová analýza | cs |
dc.subject | Hodgeův laplacián | cs |
dc.subject | tepelné jádro | cs |
dc.title | Generalized heat kernel signatures | en |
dc.type | článek | cs |
dc.type | article | en |
dc.rights.access | openAccess | en |
dc.type.version | publishedVersion | en |
dc.subject.translated | shape analysis | en |
dc.subject.translated | Hodge laplacian | en |
dc.subject.translated | heat kernel | en |
dc.type.status | Peer-reviewed | en |
Vyskytuje se v kolekcích: | Number 1-3 (2011) |
Soubory připojené k záznamu:
Soubor | Popis | Velikost | Formát | |
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Zobel.pdf | 5,93 MB | Adobe PDF | Zobrazit/otevřít |
Použijte tento identifikátor k citaci nebo jako odkaz na tento záznam:
http://hdl.handle.net/11025/1251
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