Geometric Curve Evolution and Image Processing

In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous...

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Autor principal: Cao, Frédéric, 19..-
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 1805
Matèries:
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Edition sous un autre format:• Geometric curve evolution and image processing, Frédéric Cao, 2003, Berlin, Springer, 1 vol. (X-187 p.), Lecture notes in mathematics, 3-540-00402-5
• Geometric Curve Evolution and Image Processing, Texte imprimé, 9783662203408
Taula de continguts:
  • Preface
  • Part I. The curve smoothing problem: 1. Curve evolution and image processing; 2. Rudimentary bases of curve geometry
  • Part II. Theoretical curve evolution: 3. Geometric curve shortening flow; 4. Curve evolution and level sets
  • Part III. Numerical curve evolution: 5. Classical numerical methods for curve evolution; 6. A geometrical scheme for curve evolution
  • Conclusion and perspectives
  • A. Proof of Thm. 4.3.4
  • References
  • Index.