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- W2567396402 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∗∗∗, Nikolay MIRENKOV∗ Heterogeneous object modeling using signed approximate real distance functions constructive heterogeneous object modeling, distance function approximation, set-theoretic operations, Function Representation (FRep) We introduce a smooth approximation of the min/max operations for maintaining an approximate signed distance function in constructive shape modeling. With the use of an additional bounding band for the smooth approximation, we also guarantee a fixed upper bound of the distance function error at any given point. In contrast to min/max functions, such a smooth approximation called SARDF (Signed Approximate Real Distance Function) preserves C continuity of the defining function for the resulting object. We apply distance based shape modeling to represent objects with heterogeneous material distribution in the constructive hypervolume model framework. The introduced distance approximation helps intuitively model material distributions parameterized by distances to so-called material features. The lack of smoothness in the material functions could lead to undesirable singularities, for instance, stress concentrations. The C continuity of shape defining functions provides smoothness of the material functions. We illustrate application of the SARDF operations by 2D and 3D heterogeneous object modeling case studies. ∗ The University of Aizu, Aizu Wakamatsu, Japan ∗∗ University of Hosei, Tokyo, Japan ∗∗∗ Computer Graphics Research Institute, Hosei University, Tokyo, Japan Distributed Parallel Processing Laboratory" @default.
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- W2567396402 date "2004-01-01" @default.
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- W2567396402 title "Heterogeneous object modeling using signed approximate real distance functions" @default.
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