Distance to objects built with set operations in constructive solid modeling

Authors:
Pierre-Alain Fayolle;Alexander Pasko
Affiliations:
The University of Aizu, Fukushima, Japan;Bournemouth University, Bournemouth, UK
Venue:
Proceedings of the 13th International Conference on Humans and Computers
Year:
2010

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Abstract

We present in this paper methods to compute the signed Euclidean distance to surfaces obtained by the intersection (respectively union or difference) of two solids (in two or three dimensions). These implementations can replace min/max or R-functions traditionally used to model set operations used with implicit surfaces.