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Heat Kernel Approximation on Kendall Shape Space
- Source :
- Contemporary Mathematics.
- Publication Year :
- 2020
- Publisher :
- Universal Wiser Publisher Pte. Ltd, 2020.
-
Abstract
- The heat kernel on Kendall shape subspaces is approximated by an expansion. The Kendall space is useful for representing the shapes associated to collections of landmarks’positions. The Minakshisundaram-Pleijel recursion formulas are used in order to calculate the closed-form approximations of the first and second coefficients of the heat kernel expansion. Prior to the exploitation of the recursion scheme, the expression of the Laplace-Beltrami operator is adapted to the targeted space using geodesic spherical and angular coordinates.
Details
- ISSN :
- 27051056 and 27051064
- Database :
- OpenAIRE
- Journal :
- Contemporary Mathematics
- Accession number :
- edsair.doi...........6de4611e3a89ef7dc1cd9903bb4cfa9a