Abstract
It is known that the problem of figure-ground separation can be modeled as one of energy minimization using the Ising system model from quantum physics. The Ising system model for the figure-ground separation problem makes explicit the definition of shape in terms of attributes such as cocircularity, smoothness, proximity and contrast and is based on the formulation of an energy function that incorporates pairwise interactions between local image features in the form of edgels. This paper explores a class of stochastic optimization techniques based on evolutionary algorithms for the problem of figure-ground separation using the Ising system model. Experimental results on synthetic edgel maps and edgel maps derived from gray scale images are presented. The advantages and shortcomings of evolutionary algorithms in the context of figure-ground separation are discussed.
Preview
Unable to display preview. Download preview PDF.
References
S.T. Acton and A.C. Bovik, Anisotropic Edge Detection Using Mean Field Annealing, Proc. IEEE Intl. Conf. Acoustics, Speech and Signal Processing, Vol. II, pp. 393–396, 1992.
S.M. Bhandarkar, Y. Zhang and W.D. Potter, Edge Detection Using Genetic Algorithm-based Optimization, Pattern Recognition, Vol. 27, No. 9, pp. 1159–1180, Sept. 1994.
J. Canny, A Computational Approach to Edge Detection, IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 8, No. 6, pp. 679–698, Nov. 1986.
P. Carnevali, L. Coletti and S. Patarnello, Image Processing by Simulated Annealing, IBM Jour. Res. and Dev., Vol. 29, No. 6, pp. 569–579, Nov. 1985.
L. Davis, Handbook of Genetic Algorithms, Van Nostrand Reinhold, New York, NY.
D.B. Fogel, An Introduction to Simulated Evolutionary Computation, IEEE Trans. Neural Networks, Vol. 5, No. 1, pp. 3–14, 1994.
S. Geman and D. Geman, Stochastic Relaxation, Gibbs Distribution and the Bayesian Restoration of Images, IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, pp. 721–741, 1984.
D. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley Pub. Co., Reading, MA, 1988.
D. Gutfinger and J. Sklansky, Robust Classifiers by Mixed Adaptation, IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 13, No. 6, pp. 552–567, June 1991.
L. Herault and R. Horaud, Figure-Ground Discrimination: A Combinatorial Optimization Approach, IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 15, No. 9, pp. 899–914, Sept. 1993.
J.H. Holland, Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, MI, 1975.
S. Kirkpatrick, C. Gelatt Jr. and M. Vecchi, Optimization by Simulated Annealing, Science, Vol. 220, No. 4598, pp. 671–680, May 1983.
W. Kohler, Gestalt Psychology, Meridian Press, New York, NY, 1980.
P. Parent and S.W. Zucker, Trace Inference, Curvature Consistency and Curve Detection, IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 11, No. 8, pp. 823–839, Aug. 1989.
F. Romeo and A. Sangiovanni-Vincentelli, A Theoretical Framework for Simulated Annealing, Algorithmica, Vol. 6, pp. 302–345, 1991.
G. Roth and M.D. Levine, Geometric Primitive Extraction Using a Genetic Algorithm, Proc. IEEE Intl. Conf. Comp. Vis. Patt. Recog., pp. 640–643, 1992.
T.J. Sejnowski and G.E. Hinton, Separating Figure from Ground with a Boltzmann Machine, in Vision, Brain, and Cooperative Computation (M. Arbib and A. Hanson, Eds.), MIT Press, Cambridge, MA, pp. 703–724, 1988.
A. Sha'ashua and S. Ullman, Structural Saliency: The Detection of Globally Salient Features Using a Locally Connected Network, Proc. IEEE Intl. Conf. Computer Vision, Tampa, FL, pp. 321–327, Dec. 1988.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bhandarkar, S.M., Zeng, X. (1997). Figure-ground separation: A case study in energy minimization via evolutionary computing. In: Pelillo, M., Hancock, E.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 1997. Lecture Notes in Computer Science, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62909-2_92
Download citation
DOI: https://doi.org/10.1007/3-540-62909-2_92
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62909-2
Online ISBN: 978-3-540-69042-9
eBook Packages: Springer Book Archive