Bulletin of the American Mathematical Society

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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, $59.00$

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Andrew Blake and Andrew Zisserman, Visual reconstruction, MIT Press Series in Artificial Intelligence, MIT Press, Cambridge, MA, 1987. MR 919733

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[D-Z]

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O. Faugeras, Three-dimensional computer vision, MIT Press, Cambridge, MA, 1993.

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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.

Jan J. Koenderink, Solid shape, MIT Press Series in Artificial Intelligence, MIT Press, Cambridge, MA, 1990. MR 1045203

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Ernst Mach, The analysis of sensations and the relation of the physical to the psychical, orig. German edition, 1895; Dover translation, 1959.

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D. Marr, Vision, Freeman and Co., 1982.

T. Venkatarayudu, The $7$-$15$ problem, Proc. Indian Acad. Sci., Sect. A. 9 (1939), 531. MR 0000001, DOI 10.1090/gsm/058

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D. Mumford and J. Shah, Boundary detection by minimizing functionals, Proc. IEEE Conf. Comp. Vis. Pattern Recognition, 1985.

David Mumford and Jayant Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 42 (1989), no. 5, 577–685. MR 997568, DOI 10.1002/cpa.3160420503

Joseph L. Mundy and Andrew Zisserman (eds.), Geometric invariance in computer vision, Artificial Intelligence, MIT Press, Cambridge, MA, 1992. MR 1200461

[A]

L. Ambrosio, Variational problems in SBV and image segmentation, Acta Appl. Math. 17 (1989) MR 1029833

[B-Z]

A. Blake and Z. Zisserman, Visual reconstruction, MIT Press, 1987. MR 0919733

[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 0867284

[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 1045203

[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 0997568

[M-Z]

J. Mundy and A. Zisserman, Geometric invariance in computer vision, MIT Press, 1992. MR 1200461