Fuzzy Filters for Image Processing

by Nachtegael, Mike; Van Der Weken, Dietrich; Van De Ville, Dimitri; Kerre, Etienne E.

• ISBN13: 9783540004653
• ISBN10: 3540004653
• Format: Hardcover
• Copyright: 2003-07-01
• Publisher: Springer Verlag

Summary

This book covers a wide range of both theoretical and practical applications of fuzzy filters for image processing. The focus is on problems of noise removal, edge detection and segmentation , image enhancement and further specific applications of fuzzy filters. It is demonstrated how soft computing techniques such as fuzzy set theory and fuzzy logic can be successfully applied to this problems. Often these techniques are complementary to existing classical techniques and contribute to a more robust performance. The book is written by international experts giving an overview of the current state of the art of fuzzy filters for image processing and can be used as a reference for researchers and practitioners in the field.

Table of Contents

List of Contributors XIII
Part I. Fuzzy Filters for Noise Reduction
1. Fuzzy Filters for Noise Removal	3	(22)
Manuel Guillermo Forero-Vargas and Leonardo Javier Delgado-Rangel
1 Introduction	6
2 Fuzzy filters	4	(14)
3 Extension to color of gray level fuzzy filters	18	(1)
4 Applications	18	(4)
5 Conclusion	22	(2)
References	24	(1)
2. Fuzzy Filters for Noise Reduction in Images	25	(29)
Hon Kenng Kwan
1 Introduction	25	(3)
2 Definitions of fuzzy filters	28	(4)
3 Simulations and results	32	(1)
4 Concluding remarks	33	(7)
References	40	(14)
3. Real-time Image Noise Cancellation Based on Fuzzy Similarity	54	(18)
Ivan Kalaykov and Gustav Tolt
1 Introduction	54	(3)
2 Fuzzy-similarity-based noise cancellation	57	(7)
3 Experiments	64	(4)
4 Hardware implementation of FSB filters	68	(2)
5 Conclusions	70	(1)
References	71	(1)
4. Fuzzy Rule-Based Color Filtering Using Statistical Indices	72	(29)
Spiros Fotopoulos, Antony Fotinos and Socrates Makrogiannis
1 Introduction	72	(2)
2 Principles of the filtering method	74	(4)
3 The proposed fuzzy color filters	78	(14)
4 Experimental results	92	(4)
References	96	(5)
Part II. Fuzzy Filters for Edge Detection and Segmentation
5. Fuzzy Based Image Segmentation	101	(28)
Otman Basir, Hongwei Zhn and Fakhri Karray
1 Introduction	101	(2)
2 Fuzzy approaches for image segmentation	103	(7)
3 A robust fuzzy integral based image segmentation	110	(10)
4 Experimental results	120	(3)
5 Conclusions	123	(2)
References	125	(4)
6. Fuzzy Thresholding and Histogram Analysis	129	(24)
Manuel Guillermo Forero-Vargas
1 Introduction	129	(1)
2 Membership function	130	(3)
3 Degree of fuzziness	133	(3)
4 Unified formulation	136	(4)
5 Threshold determination	140	(3)
6 Applications	143	(4)
7 Multilevel luminance thresholding	147	(1)
8 Color processing	148	(1)
9 Color application	149	(1)
10 Conclusion	150	(1)
References	151	(2)
7. Color Image Segmentation by Analysis of 3D Histogram with Fuzzy Morphological Filters	153	(25)
Aymeric Gillet, Ludovic Macaire, Claudine Botte-Lecocq and Jack-Gerard Postaire
1 Introduction	153	(3)
2 Fuzzy subset extracted from the 3D color histogram	156	(2)
3 Mode detection by fuzzy morphological filters	158	(10)
4 Experimental results	168	(6)
5 Conclusion	174	(2)
References	176	(2)
8. Fast and Robust Fuzzy Edge Detection	178	(17)
Hamid R. Tizhoosh
1 Introduction	178	(1)
2 Existing fuzzy edge detectors	179	(1)
3 Images as fuzzy sets	180	(1)
4 Heuristic membership functions	181	(1)
5 From membership functions to rules	182	(1)
6 Fuzzy complement-cased edge detection	183	(5)
7 Robust estimation of degree of edginess	188	(4)
8 Conclusions	192	(1)
References	193	(2)
9. Fuzzy Data Fusion for Multiple Cue Image and Video Segmentation	195	(24)
Spyros Ioannou, Yannis Avrithis, Giorgos Stamou and Stefanos Kollias
1 Introduction	195	(3)
2 The proposed system architecture	198	(3)
3 Fuzzy segmentation fusion	201	(4)
4 Simulation results	205	(3)
5 Conclusions	208	(2)
References	210	(9)
Part III. Fuzzy Filters for Image Enhancement
10. Fuzzy Image Enhancement in the Framework of Logarithmic Models	219	(19)
Vasile Patrascu, Vasile Buzuloiu and Constantin Vertan
1 Introduction	219	(1)
2 The fundamentals of the logarithmic model	220	(4)
3 Image fuzzification	224	(4)
4 Gray level image enhancement by affine transforms	228	(3)
5 Color image enhancement by affine transforms	231	(4)
6 Conclusions	235	(1)
References	236	(2)
11. Observer-Dependent Image Enhancement	238	(35)
Hamid R. Tizhoosh
1 Introduction	238	(3)
2 Communication model of image understanding	241	(1)
3 Necessary requirements	242	(2)
4 Structure of an observer-dependent system	244	(11)
5 Experimental verification of system performance	255	(13)
6 Possibilities for performance increase	268	(1)
References	268	(5)
Part IV. Specific Applications of Fuzzy Filters
12. Fuzzy Techniques in Digital Image Processing and Shape Analysis	273	(33)
Vassilios Chatzis and Ioannis Piles
1 Fuzzy estimators and fuzzy filters	273	(10)
2 Fuzzy cell Hough transform	283	(9)
3 Generalized fuzzy mathematical morphology	292	(9)
4 Conclusions	301	(2)
References	303	(3)
13. Adaptive Fuzzy Filters and Their Application to Online Maneuvering Target Tracking	306	(33)
Mohammad B. Menhaj
1 Introduction	306	(1)
2 Preliminaries	307	(4)
3 Kalman-Based filter designs	311	(1)
4 The adaptive fuzzy filters	312	(20)
5 Conclusion	332	(1)
References	333	(6)
14. Lossy Image Compression and Reconstruction Based on Fuzzy Relational Equation	339	(17)
Hajime Nobuhara, Yasafumi Takama, Witold Pedrycz, Kaoru Hirota
1 Introduction	339	(1)
2 Image compression method based on fuzzy relational equation (ICF)	340	(5)
3 Fast image reconstruction method of ICF	345	(1)
4 Improvement of quality of reconstructed image	346	(4)
5 Additional features of ICF	350	(2)
6 Conclusions	352	(1)
References	353	(3)
15. Avoidance of Highlights through ILFOs in Automated Visual Inspection	356	(16)
Aureli Soria-Frisch
1 Introduction	356	(1)
2 Intelligent localized fusion operators (ILFOs)	357	(4)
3 Automated determination of fuzzy measures in ILFOs	361	(1)
4 Highlights filtering through ILFOs	362	(3)
5 Automated visual inspection: application report	365	(4)
6 Conclusions	369	(2)
References	371	(1)
Appendix Color Images	372	(12)
Index	384