The Fshape Framework for the Variability Analysis of Functional Shapes

This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis. Functional shapes can be described as signal functions supported on varying geometrical supports. Analyzing variability of fshap...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 17; no. 2; pp. 287 - 357
Main Authors:	Charlier, B., Charon, N., Trouvé, A.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2017 Springer Nature B.V Springer Verlag
Subjects:	Applications of Mathematics Attachment Bundles Computational Geometry Computer Science Computer Vision and Pattern Recognition Differential Geometry Economics Engineering Sciences Linear and Multilinear Algebras Math Applications in Computer Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Optimization Populations Signal and Image Processing Transformations Utilities Large deformation models 68U10 Shape analysis Varifolds 58E50 Metamorphoses Signals on manifolds 58B32 68U05 49M25 Atlas estimation algorithms 49Q20
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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