Geometric curve flows on parametric manifolds

DOI10.1016/j.jcp.2006.09.008zbMath1118.53004OpenAlexW2116502919MaRDI QIDQ876439

Ron Kimmel, Alon Spira

Publication date: 18 April 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.09.008

zbMATH Keywords

manifoldcurveflowsegmentationparametricgeodesic curve evolutionscale space of images

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

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• Nonlinear total variation based noise removal algorithms
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Shortening embedded curves
• Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
• Axioms and fundamental equations of image processing
• A geometric model for active contours in image processing
• Geodesic active contours
• Regularized Laplacian zero crossings as optimal edge integrators
• Motion of curves constrained on surfaces using a level-set approach
• Geometry-driven diffusion in computer vision
• Total-Variation-Diminishing Time Discretizations
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• A Viscosity Solutions Approach to Shape-From-Shading
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• Flow under Curvature: Singularity Formation, Minimal Surfaces, and Geodesics
• Active contours without edges
• A general framework for low level vision
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• An O(N log N) algorithm for shape modeling.
• Scale Space and PDE Methods in Computer Vision
• Variational problems and partial differential equations on implicit surfaces

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