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- W2384296108 abstract "Report Date: Written Language: Any Other Identifying Information of this Report: Distribution Statement: Supplementary Notes: The University of Aizu Aizu-Wakamatsu Fukushima 965-8580 Japan 3/15/2004 English First Issue: 1 copie Pierre-Alain FAYOLLE∗, Alexander PASKO∗∗, Benjamin SCHMITT∗∗∗ Distance Function Approximation for Constructive Shape Modeling constructive solid modeling, distance function approximation, set-theoretic operations We introduce a smooth approximation of the min/max operations for maintaining an approximate signed distance function in constructive shape modeling. Min/max functions can provide exact distance function for the complex object if the initial primitives are defined by distance functions. However, min/max operations suffer from C discontinuity, which may result in unexpected behavior when further operations are applied to the object. The smooth approximation proposed here provides guaranteed C continuity of the resulting function. By introducing an additional bounding band, we also guarantee a fixed upper bound of the distance function error at any given point. As such approximations of min and max functions are acceptable for distance based modeling, we call the resulting defining functions of shapes by the term signed approximate real distance functions (SARDF), approximate min function can be called SARDF intersection, and approximate max function SARDF union. ∗ The University of Aizu, Aizu Wakamatsu, Japan ∗∗ University of Hosei, Tokyo, Japan ∗∗∗ Computer Graphics Research Institue, Hosei University, Tokyo, Japan Distributed Parallel Processing Laboratory" @default.
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- W2384296108 date "2003-01-01" @default.
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- W2384296108 title "Distance Function Approximation for Constructive Shape Modeling" @default.
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