Abstract
During the last few years, Markov Random Field (Mrf) models have already been successfully applied in some applications in image remote sensing in a context of conditional maximum likelihood estimation. Here, in the same context, we propose some original uses of Mrf, especially in image segmentation, noise filtering and discriminant analysis. For instance, we propose a Mrf model on the spectral signatures space, a strongly unified approach to classification and noise filtering as well as a particular model of noise.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Besag J. (1974): Spatial interaction and the statistical analysis of lattice systems, JRSS B, 36, 192–226.
Besag J. (1986): On the statistical analysis of dirty pictures,JRSS B, 48, 259–302.
Chazelle (1988): A functional approach to data structures and its use in multidimensional searching,SIAM J. Comp. 17, 427–462.
Cross G.R., Jain A.K. (1983): Markov random field texture models, IEEE Trans. PAMI 5, 25–39.
Derin H. (1986): Segmentation of textured images using Gibbs random fields,Comp. Vision, Graphics and Image Processing, 35, 72–98.
Derin H., Elliott H. (1987): Modeling and segmentation of noisy and textured images using Gibbs random fields, IEEE Trans. PAMI 9, 39–55.
Geman D. (1988): Random fields and inverse problems in imaging,Lectures Notes in Math. 1427, 117–196.
Geman S., Geman D. (1984): Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, IEEE Trans. PAMI 6, 721–741.
Granville V., Krivanek M., Rasson J.P. (1992): Clustering, classification and image segmentation on the grid, to appear in Comp. Stat. Data Analysis
Granville V., Rasson J.P. (1992): A new modelisation of noise in image remote sensing, to appear in Stat. Probability Letters
Granville V., Rasson J.-P. (1992): A Bayesian filter for a mixture model of noise in image remote sensing, to appear in Comp. Stat. Data Analysis.
Guyon X. (1985): Champs stationnaires sur Z 2 : modèles, statistique et simulations, Tech rep. Université Paris I.
Lakshmanan S., Derin H. (1989): Simultaneous parameter estimation and segmentation of Gibbs random fields using simulated annealing, IEEE Trans. PAMI 8, 799–813.
Lee S., Crawford M.M. (1989): Statistically based unsupervised hierarchical image segmentation algorithm with a blurring corrector, Proc. of the 12-th Canadian Symp. on Remote Sensing 2, 630–633.
Mardia K.V. (1989): Markov models and Bayesian methods in image analysis,JAP 16, 125–130.
Monga O. (1990): Image segmentation: state of the art, tutorial for PIXIM’89 conference; also available as INRIA Tech. rep. No. 1216, Rocquencourt (in French).
Overmars M.H. (1985): Range searching on the grid, Proc. workshop on graphtheoretic concepts in computer science, Trauner Verlag, 295–305.
Silverman B.W. (1986): Density estimation for statistics and data analysis. Chapman and Hall, NY.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Granville, V., Rasson, JP. (1993). Markov Random Field Models in Image Remote Sensing. In: Härdle, W., Simar, L. (eds) Computer Intensive Methods in Statistics. Statistics and Computing. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52468-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-52468-4_7
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0677-9
Online ISBN: 978-3-642-52468-4
eBook Packages: Springer Book Archive