A Proof of Equivalence between Level Lines Shortening and Curvature Motion in Image Processing

DOI10.1137/11082347XzbMath1390.35134arXiv1102.1244OpenAlexW2021341925MaRDI QIDQ2843444

Adina Ciomaga, Jean-Michel Morel

Publication date: 22 August 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1244

zbMATH Keywords

partial differential equationstopographic mapslevel linescurve shorteningmean curvature motionaffine curvature motionaffine shortening

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04)

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