An Introduction to Nonlinear Image Processing

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SPIE Press, 1994 - Technology & Engineering - 182 pages
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From a strict semantic point of view, nonlinear image processing encompasses all image processing that is not based on linear operators; however, from a practical, evolutionary point of view, the name itself is usually associated with the study of nonlinear filters, mainly the deterministic and nondeterministic analysis and design of logic-based operators. This Tutorial Text volume explores logic-based operators with emphasis on representation, design, and statistical optimization of nonlinear filters.

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Binary Filtering with Opening and Closing
Representation of Binary Operators
GrayScale Morphological Operators
Median and Order Statistics
Stack Filters
Optimization of Weighted Median Filters
Some Particular Nonlinear Filters

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Page 175 - A. Nieminen, P. Heinonen and Y. Neuvo, "A new class of detail preserving filters for image processing,
Page 170 - The algebraic basis of mathematical morphology II. Openings and closings," Computer Vision, Graphics, and Image Processing: Image Understanding, vol.
Page 170 - Computer Vision, Graphics, and Image Processing—Image Understanding, Vol. 55, No. 1 (1992). 45. C. Giardina and E. Dougherty, Morphological Methods in Image and Signal Processing, Prentice-Hall (1988). 46. H. Heijmans and C. Ronse, "The algebraic basis of mathematical morphology, I. Dilations and erosions," Computer Vision, Graphics, and Image Processing, Vol.
Page 173 - ... Vision, Graphics, and Image Processing - Image Understanding, Vol. 55, No. 1, January, 1992. 3. Loce, RP, and Dougherty, ER, "Facilitation of Optimal Binary Morphological Filter Design Via Structuring-Element Libraries and Observation Constraints," Optical Engineering, Vol. 31, No. 5, May, 1992. 4. Loce, RP, and Dougherty, ER, "Optimal Morphological Restoration: The Morphological Filter Mean-Absolute-Error Theorem," Visual Communication and Image Representation, Vol.

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About the author (1994)

Edward R. Dougherty is a Professor and Director of the Genomic Signal Processing Laboratory at Texas A & M University, College Station, TX. He is also Co-Director of the Computational Biology Division of the Translational Genomics Research Institute, Phoenix, AZ.

Tampere University of Technology, Finland

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