Projective Evolution of Plane Curves
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Summary
It is shown that projectively invariant evolution operators have unavoidable singularities and there exists no non-singular projective evolution operator well-defined over straight lines nor conics.
- Type
- article
- Published
- 2001-05-01
- Cited by
- 0
- References
- 34
- OpenAlex
- https://openalex.org/W1543240676
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:6125440
Keywords
Pattern recognition (psychology), Artificial intelligence, Computer science
References
- Projective differential geometry of curves and ruled surfaces
- Affine Invariant Detection: Edge Maps, Anisotropic Diffusion, and Active Contours
- Leçons sur la géométrie projective complexe ; La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile ; Leçons sur la théorie des espaces à connexion projective
- The heat equation shrinking convex plane curves
- Book Review: Leons sur la Thorie des Espaces Connexion Projective
- Classification and uniqueness of invariant geometric flows
- Differential and Numerically Invariant Signature Curves Applied to Object Recognition
- Some recent results on the projective evolution of 2-D curves
- On affine plane curve evolution
- Affine invariant scale-space
- Axioms and fundamental equations of image processing
- Affine Geometry, Curve Flows, and Invariant Numerical Approximations
- Projective analysis of 2-D images
- On the affine heat equation for non-convex curves
- Geometry-Driven Diffusion in Computer Vision
- A geometric snake model for segmentation of medical imagery
- Fundamental Limitations on Projective Invariants of Planar Curves
- Shortening embedded curves
- Algebraic Projective Geometry
- leçons sur la théorie des espaces : a connexion projective
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