Gibbs random fields, cooccurrences, and texture modeling
- 1 January 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 16 (1) , 24-37
- https://doi.org/10.1109/34.273719
Abstract
Gibbs random field (GRF) models and features from cooccurrence matrices are typically considered as separate but useful tools for texture discrimination. The authors show an explicit relationship between cooccurrences and a large class of GRF's. This result comes from a new framework based on a set-theoretic concept called the "aura set" and on measures of this set, "aura measures." This framework is also shown to be useful for relating different texture analysis tools. The authors show how the aura set can be constructed with morphological dilation, how its measure yields cooccurrences, and how it can be applied to characterizing the behavior of the Gibbs model for texture. In particular, they show how the aura measure generalizes, to any number of gray levels and neighborhood order, some properties previously known for just the binary, nearest-neighbor GRF. Finally, the authors illustrate how these properties can guide one's intuition about the types of GRF patterns which are most likely to form.< >Keywords
This publication has 21 references indexed in Scilit:
- Markov/Gibbs texture modeling: aura matrices and temperature effectsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Structure of aura and co-occurrence matrices for the Gibbs texture modelJournal of Mathematical Imaging and Vision, 1992
- Texture descriptors based on co-occurrence matricesComputer Vision, Graphics, and Image Processing, 1990
- Morphological systems for multidimensional signal processingProceedings of the IEEE, 1990
- Image processing by simulated annealingIBM Journal of Research and Development, 1985
- Texture analysis Anno 1983Computer Vision, Graphics, and Image Processing, 1985
- A Theoretical Comparison of Texture AlgorithmsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1980
- Texture Analysis Using Generalized Co-Occurrence MatricesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1979
- Statistical and structural approaches to textureProceedings of the IEEE, 1979
- Visual Pattern DiscriminationIEEE Transactions on Information Theory, 1962