1 November 1989 Representation Theorems In A L-Fuzzy Set Theory Based Algebra For Morphology
Author Affiliations +
Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970055
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States
Perhaps the most promising area of morphological image processing is that dealing with morphological filters. An image to image mapping is called a morphological filter if it is increasing and translation compatible. In other words, morphological filters preserve the natural set theoretic ordering and are space invariant. Examples of such filters are the convex hull operator, the topological closure, the umbra transform and various other topological algorithms [2-4]. Matheron showed that all such mappings can be characterized by the set theoretic operations erosion and dilation. His representation theorems has been adapted to digital images with great success [4].
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Divyendu Sinha, Divyendu Sinha, Charles R. Giardina, Charles R. Giardina, } "Representation Theorems In A L-Fuzzy Set Theory Based Algebra For Morphology", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970055; https://doi.org/10.1117/12.970055


Morphological Networks
Proceedings of SPIE (October 31 1989)
Mathematical Morphology On Graphs
Proceedings of SPIE (October 24 1988)
Gray-scale image processing using topological operators
Proceedings of SPIE (September 22 1999)
Morphological Convolution Operations For Image Processing
Proceedings of SPIE (October 31 1989)
Watermarking algorithm based on permutation and PDF417 coding
Proceedings of SPIE (September 25 2001)
Segmentation Of 2-D Boundaries Using The Chain Code
Proceedings of SPIE (October 12 1987)

Back to Top