%0 Book Section
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%@resumeid 8JMKD3MGP5W/3C9EMTE
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%X A central paradigm in mathematical morphology is the decomposition (i.e., representation) of lattice operators (i.e., mappings) in terms of four classes of elementary operators: dilations, erosions, anti-dilations and anti-erosions. The result of the decomposition of a lattice operator in terms of these elementary operators is called a morphological operator. Any lattice operator can be represented by a canonical morphological operator: the union of morphological sup-generating operators (i.e., intersection of an erosion and an anti-dilation). The sup-generating operators of this decomposition are parameterized by a set of maximal intervals, called operator basis. The automatic design of morphological operators consists of estimating the operator basis from a sequence of examples (i.e., input-ideal output pairs). This technique has been applied to solve several image and signal processing problems.
%E Bilodeau, Michel,
%E Meyer, Fernand,
%E Schmitt, Michel,
%T Automatic design of morphological operators
%@isbn 10: 0-387-20331-1
%@isbn 13: 978-0387-20331-7
%S Lecture Notes in Statistics
%@secondarytype PRE LI
%K mathematical morphology, decomposition, lattice operator, loose decomposition, morphological decomposition, W-operator decomposition, operator design, set operator, gray-scale operator.
%B Space,Structure, and Randomness. Contributions in Honor of Georges Matheron in the Fields of Geostatistics, Random Sets and Mathematical Morphology
%@usergroup administrator
%@usergroup banon
%@usergroup simone
%( sid.inpe.br/ePrint@80/2006/07.03.21.08
%@e-mailaddress banon@dpi.inpe.br
%3 artigo banon.pdf
%C New York
%@copyholder SID/SCD
%@secondarykey INPE-13867-PRE/9048
%@affiliation Universidade de São Paulo (USP)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Department of Electrical Engineering, Texas A & M University
%2 sid.inpe.br/mtc-m12@80/2006/07.13.20.40.04
%Y Bickel, P.,
%Y Diggle, P.,
%Y Fienberg, S.,
%Y Gather, U.,
%Y Olkin, I.,
%Y Zeger, S.,
%I Springer
%P 257-278
%4 sid.inpe.br/mtc-m12@80/2006/07.13.20.40
%D 2005
%@documentstage not transferred
%V 183
%A Barrera, Junior,
%A Banon, Gerald Jean Francis,
%A Dougherty, Edward R.,
%@dissemination NTRSNASA; BNDEPOSITOLEGAL.
%@area SRE