Fixed points of some ordering-based filters (English)

In: Proc. SPIE   ;  1658 ;  1992

How to get this document?

Download
Commercial Copyright fee: €14.93 Basic fee: €4.00 Total price: €18.93
Academic Copyright fee: €14.93 Basic fee: €2.00 Total price: €16.93

The median filter is a nonlinear filter that preserves edges and eliminates impulses. The initial papers on the median filter, by Tyan and Gallagher and Wise, concentrated on the development of their impulse rejection properties, the set of fixed points, and convergence. It was shown that the fixed points of the median filter are the class of LOMO (locally monotone) signals, that they converge within a finite number of iterations, and that they would reject burst of up to n aberrant values in each nonoverlapping segment of length 2n + 1. Their initial work has led to many research papers in robust signal processing in the presence of edges. The order-statistic (OS) filter is very similar to the FIR filter with the exception that it orders the values in each window before weighing them. The WMMRc filters weight the c ordered values in the window with minimum range. If more than one set of values in the window have the minimum range, the average of the possible outputs is taken. If c is not specified it is assumed to be N + 1 for a window of length 2N + 1. For OS and WMMR filters with convex (sum to one and are nonnegative) weights, fixed point results are derived similar to those of Gallagher and Wise for the median filter, i.e., the fixed points are completely classified under the assumption of a finite length signal with constant boundaries.

Table of contents conference proceedings

The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.

2
Adaptive generalized stack filtering under the mean-absolute-error criterion
Yin, Lin / Astola, Jaakko T. / Neuvo, Yrjo A. | 1992
13
Morphological filter mean-absolute-error theorem
Loce, Robert P. / Dougherty, Edward R. | 1992
25
Statistical properties of soft morphological filters
Koskinen, Lasse / Astola, Jaakko T. | 1992
37
Fixed points of some ordering-based filters
Longbotham, Harold G. / Eberly, David H. | 1992
46
Multilevel stack filtering for image processing applications
Sun, Tong / Zeng, Bing / Neuvo, Yrjo A. | 1992
56
Application of nonlinear filters to edge detection
Boncelet, Charles G. / Hardie, Russell C. | 1992
63
Three-dimensional morphology based on Ξ-filters
Preston, Kendall | 1992
76
Morphological algorithm development case study: detection of shapes in low-contrast gray-scale images with replacement and clutter noise
Rystrom, Larry R. / Katz, Philip L. / Haralick, Robert M. / Eggen, Christian J. | 1992
94
Statistics of the morphological pattern-spectrum mean and variance for a normal-sized convex-base random Boolean image
Sand, Francis M. / Dougherty, Edward R. | 1992
106
Invariant characterizations and pseudocharacterizations of finite multidimensional sets based on mathematical morphology
Sinha, Divyendu / Lee, Hanjin | 1992
118
Morphological operations applied on polygon representation of binary images
Yli-Harja, Olli P. / Vepsalainen, Ari M. | 1992
127
Dimensional measurements and operators in mathematical morphology
Soille, Pierre / Serra, Jean C. / Rivest, Jean-Francois | 1992
139
Morphological gradients
Rivest, Jean-Francois / Soille, Pierre / Beucher, Serge | 1992
151
Application of morphology to feature extraction for face recognition
Gordon, Gaile G. / Vincent, Luc M. | 1992
166
Multichannel edge-enhancing technique
Tang, Kaijun / Neuvo, Yrjo A. | 1992
177
Continuous-time analysis of the response of the pseudomedian and related filters to periodic signals
Schulze, Mark A. / Pearce, John A. | 1992
189
Robust time-domain frequency analysis
Shelton, Daniel / Longbotham, Harold G. | 1992
199
DPCM with median predictors
Lee, Yong-Hee / Kang, Dong H. / Choi, Jin H. / Lee, Ki D. | 1992
210
Nonlinear filtering structure for smoothing discontinuous signals corrupted with Gaussian noise
Stevenson, Robert L. | 1992
222
Local histogram filtering utilizing feature-selective templates
McMurray, Tom J. / Pearce, John A. | 1992
234
Logical context of nonlinear filtering
Dougherty, Edward R. / Haralick, Robert M. | 1992
245
Morphological residue approach to shape representation
Loncaric, Sven / Dhawan, Atam P. | 1992
258
Neural network approach to adaptive image enhancement
Guan, Ling | 1992
267
Training of object classes using mathematical morphology
Wilson, Stephen S. | 1992
276
Efficient neural network implementation of morphological operations
Morales, Aldo W. / Ko, Sung-Jea | 1992
287
Optical implementation of gray-scale morphology
Schaefer, Roland H. / Casasent, David P. | 1992
297
Bohr's indeterminacy principle in quantum holography, adaptive neural networks, cortical self-organization, molecular computers, magnetic resonance imaging, and solitonic nanotechnology
Schempp, Walter | 1992
344
Simulated annealing applied to acoustic signal tracking
Lee, Chin-Hwa | 1992
356
Wilson-Cowan neural network in image analysis
Mantere, Kari / Parkkinen, Jussi P. S. / Jaeaeskelaeinen, Timo / Gupta, Madan M. | 1992
Feedback