Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: 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 pp., ISBN 0-8176-3720-6, $59.00

References [Enhancements On Off] (What's this?)

  • [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

Review Information:

Reviewer: David Mumford
Affiliation: Harvard University
Email: mumford@math.harvard.edu
Journal: Bull. Amer. Math. Soc. 33 (1996), 211-216
DOI: https://doi.org/10.1090/S0273-0979-96-00643-X
Review copyright: © Copyright 1996 American Mathematical Society
American Mathematical Society