Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics

DOI10.1007/0-8176-4481-4_15zbMath1161.49039OpenAlexW2964408720MaRDI QIDQ3628395

P. Maurel, Olivier Faugeras, Renaud Keriven, Guillaume Charpiat

Publication date: 20 May 2009

Published in: Statistics and Analysis of Shapes (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.5161

zbMATH Keywords

characteristic functionsdistance functionsshape warpingempirical covariance operatorshape metricsdeformation flowsempirical mean shapelower semi continuous envelopeprincipal modes of variation

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Random fields; image analysis (62M40) Geometric probability and stochastic geometry (60D05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimization of shapes other than minimal surfaces (49Q10) Machine vision and scene understanding (68T45)

Related Items (5)

Intrinsic Bayesian active contours for extraction of object boundaries in images ⋮ Morphological Exploration of Shape Spaces ⋮ Generalized gradients: priors on minimization flows ⋮ An elasticity-based covariance analysis of shapes ⋮ An SL(2) invariant shape median

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