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Geometric curve evolution and image processing /

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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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Bibliographic Details
Main Author: Cao, Frédéric, 1973-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2003]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1805.
Subjects:
Curves on surfaces.
Differential equations, Parabolic > Numerical solutions.
Image processing.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.