Morphological gradients (English)

In: Proc. SPIE   ;  1658 ;  1992

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Object boundaries are generally characterized by grey level intensity transitions. In order to detect these variations, gradient masks are widely used, and this paper surveys the morphological framework of gradient operators. Morphological gradients are based on the difference between extensive and anti-extensive transformations. For instance dilations and erosions with structuring elements containing their origin belong to this class of transformations. Generally, these gradients are used in segmentation applications with edge finders such as sequential searches, thresholdings or the watershed transformation. The robustness of this latter transformation allows more tolerances for the construction of a gradient operator. After a short introduction to gradients in digital images the gradients available in mathematical morphology are presented: Beucher, internal and external, thick, regularized, directional, and thinning/thickening gradients. Applicability and performance of each gradient are briefly evaluated, followed by a generalization of the morphological framework of gradient operators to other digital sources.

Table of contents conference proceedings

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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
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