Functional currents: a new mathematical tool to model and analyse functional shapes

DOI10.1007/s10851-012-0413-4zbMath1361.68284arXiv1206.3564OpenAlexW3106461079MaRDI QIDQ2251233

Alain Trouvé, Nicolas Charon

Publication date: 11 July 2014

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3564

zbMATH Keywords

signalgeometrycurrentscomputational anatomyshape modellingdiffeomorphic registration

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Machine vision and scene understanding (68T45)

Related Items

Metamorphoses of functional shapes in Sobolev spaces ⋮ The fshape framework for the variability analysis of functional shapes ⋮ Globally optimal joint image segmentation and shape matching based on Wasserstein modes ⋮ Statistical Analysis of Functions on Surfaces, With an Application to Medical Imaging ⋮ Nonlinear flag manifolds as coadjoint orbits ⋮ A metric approach to elastic reformations ⋮ A numerical framework for elastic surface matching, comparison, and interpolation ⋮ Functional random effects modeling of brain shape and connectivity ⋮ Currents and finite elements as tools for shape space ⋮ Estimation of a growth development with partial diffeomorphic mappings

Uses Software

• LDDMM

Cites Work

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• Local Geometry of Deformable Templates
• Shapes and diffeomorphisms