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A Second-Order Model for Time-Dependent Data Interpolation: Splines on Shape Spaces

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MICCAI2010.pdf (2.979Mb)
SplinesWorkshop.pdf (2.878Mb)
Date
2010
Dewey
Probabilités et mathématiques appliquées
Sujet
computational anatomy; interpolation on time-indexed sequences of 2D or 3D shapes
Conference name
Workshop STIA-MICCAI 2010
Conference date
09-2010
Conference city
Beijing
Conference country
Chine
URI
https://basepub.dauphine.fr/handle/123456789/7122
Collections
  • CEREMADE : Publications
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Author
Vialard, François-Xavier
Trouvé, Alain
Type
Communication / Conférence
Item number of pages
11
Abstract (EN)
This article presents a mathematical framework recently developed to perform deterministic interpolation on time-indexed sequences of 2D or 3D shapes. Most of current models in use can be compared to linear interpolation for one dimensional data. We develop a spline interpolation method which is the equivalent of splines interpolation in the Euclidean space, but in the widely developed framework of large deformations by diffeomorphisms. We open some preliminary statistical perspectives for the study of cross-evolution data.

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