A geometric model for active contours in image processing
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Publication:1326434
DOI10.1007/BF01385685zbMath0804.68159MaRDI QIDQ1326434
Françoise Dibos, Tomeu Coll, Francine Catté, Vincent Caselles
Publication date: 12 January 1995
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133750
Computing methodologies for image processing (68U10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)
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Cites Work
- Unnamed Item
- Unnamed Item
- An isoperimetric inequality with applications to curve shortening
- Curve shortening makes convex curves circular
- Motion of level sets by mean curvature. I
- The heat equation shrinking convex plane curves
- Constraints on deformable models: Recovering 3D shape and nonrigid motion
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- The heat equation shrinks embedded plane curves to round points
- On active contour models and balloons
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- The computation of visible-surface representations
- User’s guide to viscosity solutions of second order partial differential equations
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
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