Kernel Metrics on Normal Cycles and Application to Curve Matching

DOI10.1137/16M1070529zbMath1364.53071OpenAlexW2558299976MaRDI QIDQ5266398

Pierre Roussillon, Joan Alexis Glaunès

Publication date: 2 June 2017

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1070529

zbMATH Keywords

lddmmreproducing kernel Hilbert spacescurrentsgeometric measure theorynormal cycleimage registrationvarifoldscurve registrationcomputational anatomycurve matchingdiffeomorphic models

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (5)

On length measures of planar closed curves and the comparison of convex shapes ⋮ Weight metamorphosis of varifolds and the LDDMM-Fisher-Rao metric ⋮ Metrics, quantization and registration in varifold spaces ⋮ A numerical framework for elastic surface matching, comparison, and interpolation ⋮ Representation of surfaces with normal cycles and application to surface registration

Uses Software

• L-BFGS

Cites Work

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