This text provides insight into the design of optimal image processing operators for implementation directly into digital hardware. Starting with simple restoration examples and using the minimum of statistics, the book provides a design strategy for a wide range of image processing applications. The text is aimed principally at electronics engineers and computer scientists, but will also be of interest to anyone working with digital images
Chapter 1. Introduction. Chapter 2. What is a logic-based filter? 2.1. Error criterion -- 2.2. Filter constraints -- 2.3. Window constraint -- 2.4. Translation invariance -- 2.5. Filter windows -- 2.6. Filter design -- 2.7. Minimizing the MAE -- 2.8. Summary -- References
Chapter 3. How accurate is the logic-based filter? 3.1. Optimum filter error -- 3.2. Other applications -- 3.3. Summary -- References
Chapter 4. How do you train the filter for a task? 4.1. Effect of window size -- 4.2. Training errors -- 4.3. In defense of training set approaches -- 4.4. Summary -- References
Chapter 5. Increasing filters and mathematical morphology. 5.1. Constraints on the filter function -- 5.2. Statistical relevance -- 5.3. Summary -- References
Chapter 6. The median filter and its variants. 6.1. The grayscale median as a special case of a generalized WOS filter -- 6.2. Binary WOS filters -- 6.3. Positive and negative medians -- 6.4. Weighted median filters -- 6.5. Optimum design of weighted rank and median filters -- 6.6. Weight-monotonic property -- 6.7. Design of weighted median filters -- 6.8. Summary -- References
Chapter 7. Extension to grayscale. 7.1. Stack filters -- 7.2. Grayscale morphology -- 7.3. Computational morphology for beginners -- 7.4. Elemental erosion -- 7.5. Aperture filters -- 7.6. Grayscale applications -- 7.7. Summary -- References
Chapter 8. Grayscale implementation. 8.1. Grayscale training issues -- 8.2. Hardware implementation -- 8.3. Stack filter -- 8.4. Grayscale morphology -- 8.5. Computational morphology and aperture filters -- 8.6. Efficient architecture for computational morphology and aperture filters -- 8.7. Summary -- References
Chapter 9. Case study: noise removal from astronomical images. 9.1. CCD noise in astronomical and solar images -- 9.2. Soft morphological filters -- 9.3. Results -- 9.4. Hardware implementation -- 9.5. Summary -- References
Chapter 10. Conclusions -- Reference
Logic-based nonlinear image processing
Tutorial texts in optical engineering ; v. TT72
2007
1 online resource (xiii, 147 p. : ill.)
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