How to find a khalimsky-continuous approximation of a real-valued function

Authors:
Erik Melin
Affiliations:
Department of Mathematics, Uppsala University, Uppsala, Sweden
Venue:
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Year:
2004

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Abstract

Given a real-valued continuous function defined on n-dimensional Euclidean space, we construct a Khalimsky-continuous integer-valued approximation. From a geometrical point of view, thisdigitization takes a hypersurface that is the graph of a function and produces a digital hypersurface—the graph of the digitized function.