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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Veröffentlicht in:	Foundations of computational mathematics Jg. 17; H. 2; S. 287 - 357
Hauptverfasser:	Charlier, B., Charon, N., Trouvé, A.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.04.2017 Springer Nature B.V Springer Verlag
Schlagworte:	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-Zugang:	Volltext
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