1989 |
Maragos, Petros Pattern Spectrum and Multiscale Shape Representation Journal Article IEEE Trans. on Pattern Analysis and Machine Intelligence, 11 (7), pp. 701–716, 1989, ISSN: 01628828. Abstract | BibTeX | Tags: | Links:   @article{87c,
title = {Pattern Spectrum and Multiscale Shape Representation},
author = {Petros Maragos},
journal = {IEEE Trans. on Pattern Analysis and Machine Intelligence},
volume = {11},
number = {7},
pages = {701--716},
}
The results of a study on multiscale shape description, smoothing$backslash$nand representation are reported. Multiscale nonlinear smoothing filters$backslash$nare first developed, using morphological opening and closings. G.$backslash$nMatheron (1975) used openings and closings to obtain probabilistic size$backslash$ndistributions of Euclidean-space sets (continuous binary images). These$backslash$ndistributions are used to develop a concept of pattern spectrum (a$backslash$nshape-size descriptor). A pattern spectrum is introduced for continuous$backslash$ngraytone images and arbitrary multilevel signals, as well as for$backslash$ndiscrete images, by developing a discrete-size family of patterns. Large$backslash$njumps in the pattern spectrum at a certain scale indicate the existence$backslash$nof major (protruding or intruding) substructures of the signal at the$backslash$nscale. An entropy-like shape-size complexity measure is also developed$backslash$nbased on the pattern spectrum. For shape representation, a reduced$backslash$nmorphological skeleton transform is introduced for discrete binary and$backslash$ngraytone images. This transform is a sequence of skeleton components$backslash$n(sparse images) which represent the original shape at various scales. It$backslash$nis shown that the partially reconstructed images from the inverse$backslash$ntransform on subsequences of skeleton components are the openings of the$backslash$nimage at a scale determined by the number of eliminated components; in$backslash$naddition, two-way correspondences are established among the degree of$backslash$nshape smoothing via multiscale openings or closings, the pattern$backslash$nspectrum zero values, and the elimination or nonexistence of skeleton$backslash$ncomponents at certain scales |
Maragos, Petros Morphological correlation and mean absolute error criteria Conference Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-89), (7), Glasgow, Scotland, 1989, ISSN: 07367791. BibTeX | Tags: | Links: @conference{299,
title = {Morphological correlation and mean absolute error criteria},
author = { Petros Maragos},
booktitle = {Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-89)},
number = {7},
pages = {1568-1571},
}
|
Maragos, P; Sun, F K Measuring Fractal Dimension: Morphological Estimates and Iterative Optimization Journal Article Visual Communications and Image Processing, SPIE, 1199 , pp. 416-430, 1989. BibTeX | Tags: @article{Maragos1989,
title = {Measuring Fractal Dimension: Morphological Estimates and Iterative Optimization},
author = {P. Maragos and F.K. Sun},
journal = {Visual Communications and Image Processing, SPIE},
volume = {1199},
pages = {416-430},
}
|
1988 |
Maragos, P Morphology-based symbolic image modeling, multi-scale nonlinear smoothing, and pattern spectrum Conference Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR-88), Ann Arbor, MI, 1988, ISBN: 0818608625. BibTeX | Tags: | Links: @conference{301,
title = {Morphology-based symbolic image modeling, multi-scale nonlinear smoothing, and pattern spectrum},
author = {P Maragos},
booktitle = {Proc. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR-88)},
pages = {766-773},
}
|
Maragos, P Optimal Morphological Approaches To Image Matching And Object Detection Conference Proc. Int’l Conf. on Computer Vision (ICCV-88), Tarpon Springs, Florida, 1988, ISBN: 0-8186-0883-8. BibTeX | Tags: | Links: @conference{300,
title = {Optimal Morphological Approaches To Image Matching And Object Detection},
author = {P. Maragos},
booktitle = {Proc. Int’l Conf. on Computer Vision (ICCV-88)},
pages = {695-699},
}
|
Maragos, P; Ziff, R D Threshold Parallelism in Morphological Feature Extraction, Skeletonization, and Pattern Spectrum Journal Article Visual Communications and Image Processing, SPIE, 1001 , pp. 106-115, 1988. BibTeX | Tags: | Links: @article{Maragos1988,
title = {Threshold Parallelism in Morphological Feature Extraction, Skeletonization, and Pattern Spectrum},
author = {P. Maragos and R. D. Ziff},
journal = {Visual Communications and Image Processing, SPIE},
volume = {1001},
pages = {106-115},
}
|
1987 |
Libeskind-Hadas, R; Maragos, P Application of Iterated Function Systems and Skeletonization to Synthesis of Fractal Images Conference Proc. SPIE, Visual Communications and Image Processing II, 845 , 1987, ISSN: 1996756X. BibTeX | Tags: | Links: @conference{302,
title = {Application of Iterated Function Systems and Skeletonization to Synthesis of Fractal Images},
author = {R Libeskind-Hadas and P Maragos},
booktitle = {Proc. SPIE, Visual Communications and Image Processing II},
volume = {845},
pages = {276--284},
}
|
Maragos, P; Schafer, R W Morphological filters—Part I: Their set-theoretic analysis and relations to linear shift-invariant filters Journal Article IEEE Transactions on Acoustics, Speech, and Signal Processing, 35 (8), pp. 1153–1169, 1987, ISSN: 00963518. Abstract | BibTeX | Tags: | Links: @article{317,
title = {Morphological filters—Part I: Their set-theoretic analysis and relations to linear shift-invariant filters},
author = {P. Maragos and R. W. Schafer},
journal = {IEEE Transactions on Acoustics, Speech, and Signal Processing},
volume = {35},
number = {8},
pages = {1153--1169},
}
This paper examines the set-theoretic interpretation of morphological filters in the framework of mathematical morphology and introduces the representation of classical linear filters in terms of morphological correlations, which involve supremum/infimum operations and additions. Binary signals are classified as sets, and multilevel signals as functions. Two set-theoretic representations of signals are reviewed. Filters are classified as set-processing (SP) or function-processing (FP). Conditions are provided for certain FP filters that pass binary signals to commute with signal thresholding because then they can be analyzed and implemented as SP filters. The basic morphological operations of set erosion, dilation, opening, and closing are related to Minkowski set operations and are used to construct FP morphological filters. Emphasis is then given to analytically and geometrically quantifying the similarities and differences between morphological filtering of signals by sets and functions; the latter case allows the definition of morphological convolutions and correlations. Toward this goal, various properties of FP morphological filters are also examined. Linear shift-invariant filters (due to their translation-invariance) are uniquely characterized by their kernel, which is a special collection of input signals. Increasing linear filters are represented as the supremum of erosions by their kernel functions. If the filters are also discrete and have a finite-extent impulse response, they can be represented as the supremum of erosions only by their minimal (with respect to a signal ordering) kernel functions. Stable linear filters can be represented as the sum of (at most) two weighted suprema of erosions. These results demonstrate the power of mathematical morphology as a unifying approach to both linear and nonlinear signal-shaping strategies. |
Maragos, P; Schafer, R W Morphological filters -- Part II: Their relations to median, order-statistics, and stack filters Journal Article IEEE Trans. on Acoustics, Speech, and Signal Processing, 35 (8), pp. 1170–1184, 1987. BibTeX | Tags: image processing, mathematical morphology LB - Ma | Links: @article{316,
title = {Morphological filters -- Part II: Their relations to median, order-statistics, and stack filters},
author = {P Maragos and R W Schafer},
journal = {IEEE Trans. on Acoustics, Speech, and Signal Processing},
volume = {35},
number = {8},
pages = {1170--1184},
}
|
Maragos, Petros Tutorial On Advances In Morphological Image Processing And Analysis Journal Article Optical Engineering, 26 (7), pp. 623-632, 1987, ISSN: 0091-3286. Abstract | BibTeX | Tags: | Links: @article{145,
title = {Tutorial On Advances In Morphological Image Processing And Analysis},
author = {Petros Maragos},
journal = {Optical Engineering},
volume = {26},
number = {7},
pages = {623-632},
}
This paper reviews some recent advances in the theory and applications of morphological image analysis. Regarding applications, we show how the morphological filters can be used to provide simple and systematic algorithms for image processing and analysis tasks as diverse as nonlinear image filtering, noise suppression, edge detection, region filling, skeletonization, coding, shape representation, smoothing, and recognition. Regarding theory, we summarize the representation of a large class of translation-invariant nonlinear filters (including morphological, median, order-statistic, and shape recognition filters) as a minimal combination of morphological erosions or dilations; these results provide new realizations of these filters and lead to a unified image algebra. |
1986 |
Maragos, P; Schafer, R Morphological skeleton representation and coding of binary images Journal Article IEEE Trans. on Acoustics, Speech, and Signal Processing, 34 (5), pp. 1228-1244, 1986. BibTeX | Tags: | Links: @article{85c,
title = {Morphological skeleton representation and coding of binary images},
author = {P Maragos and R Schafer},
journal = {IEEE Trans. on Acoustics, Speech, and Signal Processing},
volume = {34},
number = {5},
pages = {1228-1244},
}
|
1985 |
Maragos, P; Schafer, R A unification of linear, median, order-statistics and morphological filters under mathematical morphology Conference Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-85), Tampa, Florida, 1985. BibTeX | Tags: | Links: @conference{303,
title = {A unification of linear, median, order-statistics and morphological filters under mathematical morphology},
author = { P. Maragos and R. Schafer},
booktitle = {Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-85)},
pages = {1329--1332},
}
|
1984 |
Maragos, P; Schafer, R W; Mersereau, R M Two-Dimensional Linear Prediction and Its Application to Adaptive Predictive Coding of Images Journal Article IEEE Trans. on Acoustics, Speech, and Signal Processing, 32 (6), pp. 1213-1229, 1984. BibTeX | Tags: | Links: @article{84c,
title = {Two-Dimensional Linear Prediction and Its Application to Adaptive Predictive Coding of Images},
author = {P. Maragos and R. W. Schafer and R. M. Mersereau},
journal = {IEEE Trans. on Acoustics, Speech, and Signal Processing},
volume = {32},
number = {6},
pages = {1213-1229},
}
|
Maragos, P; Mersereau, R; Schafer, R Multichannel Linear Predictive Coding of Color Images Conference Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-84), San Diego, California, 1984. BibTeX | Tags: | Links: @conference{162,
title = {Multichannel Linear Predictive Coding of Color Images},
author = { P. Maragos and R. Mersereau and R. Schafer},
booktitle = {Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-84)},
pages = {535--538},
}
|
Maragos, P; Schafer, R Morphological skeleton representation and coding of binary images Conference Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing, (ICASSP-84), 9 , San Diego, California, 1984. BibTeX | Tags: | Links: @conference{304,
title = {Morphological skeleton representation and coding of binary images},
author = { P. Maragos and R. Schafer},
booktitle = {Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing, (ICASSP-84)},
volume = {9},
pages = {523--526},
}
|
1983 |
Maragos, P; Mersereau, R; Schafer, R Two-dimensional linear predictive analysis of arbitrarily-shaped regions Conference Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-83), Boston, Massachusetts, 1983. BibTeX | Tags: | Links: @conference{161,
title = {Two-dimensional linear predictive analysis of arbitrarily-shaped regions},
author = { P. Maragos and R. Mersereau and R. Schafer},
booktitle = {Proc. Int’l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-83)},
pages = {104--107},
}
|
