Continuous-time analysis of the response of the pseudomedian and related filters to periodic signals (Englisch)

In: Proc. SPIE   ;  1658 ;  1992

Wie erhalte ich diesen Titel?

Download
Kommerziell Vergütung an den Verlag: 15,19 € Grundgebühr: 4,00 € Gesamtpreis: 19,19 €
Akademisch Vergütung an den Verlag: 15,19 € Grundgebühr: 2,00 € Gesamtpreis: 17,19 €

A continuous time method is introduced to analyze the response of median, pseudomedian, average (mean), and midrange filters to certain periodic signals. The filter definitions are generalized to continuous time, and these definitions are applied to periodic signals such as triangle, square, and sinusoidal waves of varying frequencies. These operations yield 'amplitude response' measures which are analytic functions of the frequency of the input signal. In addition, a 'correlation' measure is defined to indicate the level of distortion introduced by each filter. Examples of this analysis for the median, pseudomedian, average, and midrange filters show similarities and differences among them. Although these theoretical measures do not perfectly demonstrate the performance of the discrete time filters, continuous time analysis does provide valuable insights into the filter behavior. The response of the continuous time median filter shows its susceptibility to high frequency periodic noise and proves, again, the existence of infinite-length bi-valued fast-fluctuating roots of this filter. The pseudomedian filter, in contrast, completely attenuates amplitude-symmetric periodic signals above a certain frequency, and has no infinite-length fast-fluctuating roots. Continuous time filter analogues are therefore an important theoretical tool for understanding the behavior of both linear and nonlinear filters.

  • Titel:
    Continuous-time analysis of the response of the pseudomedian and related filters to periodic signals
  • Autor / Urheber:
  • Kongress:
    Nonlinear Image Processing III; 1992; San Jose,CA,United States
  • Erschienen in:
    Proc. SPIE ; 1658
  • Verlag:
    SPIE
  • Erscheinungsjahr:
    1992
  • ISBN:
  • ISSN:
  • DOI:
  • Medientyp:
    Aufsatz (Konferenz)
  • Format:
    Elektronische Ressource
  • Sprache:
    Englisch
  • Datenquelle:
  • Exportieren:

Inhaltsverzeichnis Konferenzband

Die Inhaltsverzeichnisse werden automatisch erzeugt und basieren auf den im Index des TIB-Portals verfügbaren Einzelnachweisen der enthaltenen Beiträge. Die Anzeige der Inhaltsverzeichnisse kann daher unvollständig oder lückenhaft sein.

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