Morphological residue approach to shape representation (English)

In: Proc. SPIE   ;  1658 ;  1992

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A novel method for shape representation based on the multiresolution representation and morphological residues of the binary image is presented in this paper. A shape description method must have three properties: translation, rotation, and size invariance. The binary image which contains the object to be described is represented by multiresolution pyramid. A set of structuring elements is selected and used to compute morphological residues. The structuring elements are rotated versions of the one initial structuring element. This enables us to achieve rotational invariance of the shape description method. The morphological residue is the difference between the original image area and the eroded image area. It is a basic descriptor used in this method. The morphological residues for each of the structuring elements and each of the multiresolution pyramid levels are computed. The obtained set of morphological residues (numbers) is then sorted by order. The sort will enable comparison of rotated versions of objects. The residues for each pyramid level are normalized to enable more accurate comparison (distance measure) between object descriptors. Real vectors obtained in such a way are used as the shape descriptors. Experiments have been performed to investigate noise robustness of the proposed method, and have shown that method is not sensitive to noise. A set of twenty test images has been created and corrupted by noise. The Euclidean distance between the original and the corrupted images has been computed, and has shown that the proposed method has good shape matching properties.

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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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