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Author Chin-Pan Huang ♦ Chaparro, L.F.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1995
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Special computer methods
Subject Keyword Signal representations ♦ Morphology ♦ Fuzzy sets ♦ Polynomials ♦ Gray-scale ♦ Signal analysis ♦ Signal synthesis ♦ Fuzzy logic ♦ Image analysis ♦ Signal processing
Abstract In this paper we propose a signal representation based on fuzzy morphology and adaptive structuring functions which is analogous to polynomial transforms. For completeness, we use a set of normalized and ordered structuring functions derived from orthogonal polynomials defined on a window. After windowing the given signal, the geometric decomposition of a windowed signal is achieved by applying fuzzy morphological opening sequentially using each of the structuring functions to fit the signal. The resulting representation is made to resemble an orthogonal expansion by constraining the result of opening to equal the adapted structuring function. Properties of the geometric decomposition permit us to develop an iterative procedure to calculate the adaptation parameters. The analysis and synthesis procedures are illustrated for images.
Description Author affiliation: Dept. of Electr. Eng., Pittsburgh Univ., PA, USA (Chin-Pan Huang; Chaparro, L.F.)
ISBN 0818671262
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1995-09-17
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 712.48 kB
Page Count 6
Starting Page 607
Ending Page 612

Source: IEEE Xplore Digital Library