Abstract
The paper presents a unified and general theory of objects in n-dimensional orthogonal lattices as used in image processing. In contrast to set-theoretical topology (cellular complexes), the theory of incidence structures (see Beutelspacher, Einführung in die endliche Geometrie I, Wissenschaftsverlag, Mannheim, 1982) is developed consistently. New object quantities beside the Euler number are introduced, some inequalities between these quantities are derived, and an effective algorithm for surface detection is presented.
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© 1994 Springer-Verlag Berlin Heidelberg
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Voss, K. (1994). Theoretical Approaches to N-Dimensional Digital Objects. In: O, YL., Toet, A., Foster, D., Heijmans, H.J.A.M., Meer, P. (eds) Shape in Picture. NATO ASI Series, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03039-4_5
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DOI: https://doi.org/10.1007/978-3-662-03039-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08188-0
Online ISBN: 978-3-662-03039-4
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