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Book Review
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Book Information
Author(s):
Jean-Michel Morel and Sergio Solimini
Title:
Variational methods in image segmentation
Additional book information:
Progress in Nonlinear Differential Equations and Their Applications, vol. 14, Birkhäuser,
Boston,
1995,
xvi + 245,
$59.00,
ISBN 0-8176-3720-6
References:
- [A]
- L. Ambrosio, Variational problems in SBV and image segmentation, Acta Appl. Math. 17 (1989) MR 91d:49003
- [B-Z]
- A. Blake and Z. Zisserman, Visual reconstruction, MIT Press, 1987. MR 89k:92086
- [Ceta1]
- D. Cooper, H. Elliott, F. Cohen, L. Reiss, and P. Symosek, Stochastic boundary estimation and object recognition, Image Modeling (A. Rosenfeld, ed.), Academic Press, 1981.
- [D-Z]
- B. Dubuc and S. Zucker, Indexing visual representations through the complexity map, Proc. 5th Int. Conf. Comp. Vision, IEEE Comp. Soc. Press, 1995.
- [Fal]
- K. Falconer, The geometry of fractal sets, Cambridge Univ. Press, 1985. MR 88d:28001
- [Fau]
- O. Faugeras, Three-dimensional computer vision, MIT Press, Cambridge, MA, 1993.
- [G-G]
- S. Geman and D. Geman, Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Trans. Patt. Anal. Mach. Int. 6 (1984).
- [Gr]
- U. Grenader, General pattern theory, Oxford Univ. Press, 1995.
- [vH]
- H. von Helmholtz, Physiological optics, orig. German edition, 1909; Dover translation, 1962.
- [K]
- J. Koenderink, Solid shape, MIT Press, 1990. MR 91f:65040
- [Mc]
- Ernst Mach, The analysis of sensations and the relation of the physical to the psychical, orig. German edition, 1895; Dover translation, 1959.
- [Mr]
- D. Marr, Vision, Freeman and Co., 1982.
- [Mu]
- D. Mumford, Pattern theory, Proc. 1st European Congr. Math., Birkhäuser, Boston, 1994. MR 1:341 824
- [M-S1]
- D. Mumford and J. Shah, Boundary detection by minimizing functionals, Proc. IEEE Conf. Comp. Vis. Pattern Recognition, 1985.
- [M-S2]
- ------, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 42 (1989). MR 90g:49033
- [M-Z]
- J. Mundy and A. Zisserman, Geometric invariance in computer vision, MIT Press, 1992. MR 94d:68114
Additional Information:
Reviewer(s):
David
Mumford
Affiliation:
Harvard University
Email:
mumford@math.harvard.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
211-216.
DOI:
10.1090/S0273-0979-96-00643-X
PII:
S 0273-0979(96)00643-X
Copyright of article:
Copyright
1996,
American Mathematical Society
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