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- W4301478217 abstract "Motivated by the development of a probabilistic model for growth of biological shapes in the context of large deformations by diffeomorphisms, we present a stochastic perturbation of the Hamiltonian equations of geodesics on shape spaces. We study the finite-dimensional case of groups of points for which we prove that the strong solutions of the stochastic system exist for all time. We extend the model to the space of parameterized curves and surfaces and we develop a convenient analytical setting to prove a strong convergence result from the finite-dimensional to the infinite-dimensional case. We then present some enhancements of the model." @default.
- W4301478217 created "2022-10-05" @default.
- W4301478217 creator A5013609923 @default.
- W4301478217 date "2013-06-01" @default.
- W4301478217 modified "2023-09-27" @default.
- W4301478217 title "Extension to infinite dimensions of a stochastic second-order model associated with shape splines" @default.
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- W4301478217 doi "https://doi.org/10.1016/j.spa.2013.01.012" @default.
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