Generalized Simple Surface Points

By using exclusively the customary adjacency relations on ℤ3, we generalize the notion of a simple surface point given by Morgenthaler in the 80s. A new definition of simple surface arises, and we show that simple surfaces coincide with the strong separating family of a certain class of digital surf...

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Bibliographic Details
Published inDiscrete Geometry for Computer Imagery pp. 59 - 70
Main Authors Ciria, J. C., Domínguez, E., Francés, A. R., Quintero, A.
Format Book Chapter
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin Heidelberg
SeriesLecture Notes in Computer Science
Subjects
Adjacency Pair
Adjacency Relation
Simple Surface
Surface Point
Unit Cube
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Summary:By using exclusively the customary adjacency relations on ℤ3, we generalize the notion of a simple surface point given by Morgenthaler in the 80s. A new definition of simple surface arises, and we show that simple surfaces coincide with the strong separating family of a certain class of digital surfaces defined by means of continuous analogues that, in turn, contains several families of discrete surfaces in the literature.
Bibliography:This work has been partially supported by the project MTM2010-20445 MICINN Spain.
ISBN:3642370667
9783642370663
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-642-37067-0_6