Threshold Parallelism In Morphological Feature Extraction, Skeletonization, And Pattern Spectrum

Petros Maragos; Robert D. Ziff

doi:10.1117/12.968943

25 October 1988 Threshold Parallelism In Morphological Feature Extraction, Skeletonization, And Pattern Spectrum

Petros Maragos, Robert D. Ziff

Proceedings Volume 1001, Visual Communications and Image Processing '88: Third in a Series; (1988) https://doi.org/10.1117/12.968943
Event: Visual Communications and Image Processing III, 1988, Cambridge, MA, United States

Abstract

In this paper it is shown that many composite morphological systems, such as morphological edge detection, peak/valley extraction, skeletonization, and shape-size distributions obey a weak linear super-position, called threshold-linear superposition: Namely, the output graytone image is the sum of outputs due to input binary images, which result from thresholding the input graytone image at all levels. Then these results are generalized to a vector space formulation, e.g., to any linear combination of simple morphological systems such as erosion, dilation, rank-order filters, and their cascade or max/min combinations. Thus many such systems processing graytone images are reduced to corresponding binary image processing systems, which are easier to analyze and implement.

Citation Download Citation

Petros Maragos and Robert D. Ziff "Threshold Parallelism In Morphological Feature Extraction, Skeletonization, And Pattern Spectrum", Proc. SPIE 1001, Visual Communications and Image Processing '88: Third in a Series, (25 October 1988); https://doi.org/10.1117/12.968943

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