Reference TypeConference Proceedings
Citation KeyMadeiraBarr:2000:InEvBD
Author1 Madeira, Heraldo M. F.
2 Barrera, Junior
TitleIncremental evaluation of BDD-represented set operators
Conference NameBrazilian Symposium on Computer Graphics and Image Processing, 13 (SIBGRAPI)
EditorCarvalho, Paulo Cezar Pinto
Walter, Marcelo
Publisher CityLos Alamitos
PublisherIEEE Computer Society
Conference LocationGramado, RS, Brazil
Keywordsmathematical morphology, mathematical morphology, formal language, vocabulary, morphological operators, translation invariant operators, locally defined set operators, 2D discrete W-operators, 3D discrete W-operators, reduced ordered binary decision diagram, equivalence proof.
AbstractIn mathematical morphology set operators are described by a formal language, whose vocabulary is composed of dilations, erosions, complementation, union and intersection. They are called morphological operators when expressed in this form. Translation invariant and locally defined set operators are called W-operators. Decision diagrams have been used as an alternative representation for some 2-D and 3-D discrete W-operators. This paper shows that the reduced and ordered binary decision diagram (ROBDD) is a non-ambiguous scheme for representing W-operators and presents a method to compute the ROBDD of any W-operator from a corresponding morphological operator. This procedure of computing decision diagrams can be applied to the automatic proof of equivalence between morphological operators, since the W-operator they represent are equal if and only if they have the same ROBDD.
NotesThe conference was held in Gramado, RS, Brazil, from October 17 to 20.
OrganizationSBC - Brazilian Computer Society
Tertiary TypeFull Paper
Size613 KiB
Number of Files1
Target File308-315.pdf
Last Update2002: administrator
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