Web-based Constructive Shape Modeling Using Real Distance Functions

Pierre-Alain FAYOLLE; Benjamin SCHMITT; Yuichiro GOTO; Alexander PASKO

doi:10.1093/ietisy/e88-d.5.828

Web-based Constructive Shape Modeling Using Real Distance Functions

Pierre-Alain FAYOLLE, Benjamin SCHMITT, Yuichiro GOTO, Alexander PASKO

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We present an approach and a web-based system implementation for modeling shapes using real distance functions. The system consists of an applet supporting the HyperFun modeling language. The applet is extended with primitives defined by Euclidean distance from a point to the surface of the shape. Set-theoretic operations (union, intersection, difference) that provide an approximation of the Euclidean distance to a shape built in a constructive way are introduced. Such operations have a controllable error of the exact Euclidean distance to the shape and preserve C¹ continuity of the overall function, which is an important condition for further operations and applications. The proposed system should help model various shapes, store them in a concise form, and exchange them easily between different entities on a network. The applet offers also the possibility to export the models defined in the HyperFun language to other formats for raytracing or rapid prototyping.

Publication: IEICE TRANSACTIONS on Information Vol.E88-D No.5 pp.828-835

Publication Date: 2005/05/01

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DOI: 10.1093/ietisy/e88-d.5.828

Type of Manuscript: Special Section PAPER (Special Section on Cyberworlds)

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Pierre-Alain FAYOLLE, Benjamin SCHMITT, Yuichiro GOTO, Alexander PASKO, "Web-based Constructive Shape Modeling Using Real Distance Functions" in IEICE TRANSACTIONS on Information, vol. E88-D, no. 5, pp. 828-835, May 2005, doi: 10.1093/ietisy/e88-d.5.828.
Abstract: We present an approach and a web-based system implementation for modeling shapes using real distance functions. The system consists of an applet supporting the HyperFun modeling language. The applet is extended with primitives defined by Euclidean distance from a point to the surface of the shape. Set-theoretic operations (union, intersection, difference) that provide an approximation of the Euclidean distance to a shape built in a constructive way are introduced. Such operations have a controllable error of the exact Euclidean distance to the shape and preserve C¹ continuity of the overall function, which is an important condition for further operations and applications. The proposed system should help model various shapes, store them in a concise form, and exchange them easily between different entities on a network. The applet offers also the possibility to export the models defined in the HyperFun language to other formats for raytracing or rapid prototyping.
URL: https://globals.ieice.org/en_transactions/information/10.1093/ietisy/e88-d.5.828/_p

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@ARTICLE{e88-d_5_828,
author={Pierre-Alain FAYOLLE, Benjamin SCHMITT, Yuichiro GOTO, Alexander PASKO, },
journal={IEICE TRANSACTIONS on Information},
title={Web-based Constructive Shape Modeling Using Real Distance Functions},
year={2005},
volume={E88-D},
number={5},
pages={828-835},
abstract={We present an approach and a web-based system implementation for modeling shapes using real distance functions. The system consists of an applet supporting the HyperFun modeling language. The applet is extended with primitives defined by Euclidean distance from a point to the surface of the shape. Set-theoretic operations (union, intersection, difference) that provide an approximation of the Euclidean distance to a shape built in a constructive way are introduced. Such operations have a controllable error of the exact Euclidean distance to the shape and preserve C¹ continuity of the overall function, which is an important condition for further operations and applications. The proposed system should help model various shapes, store them in a concise form, and exchange them easily between different entities on a network. The applet offers also the possibility to export the models defined in the HyperFun language to other formats for raytracing or rapid prototyping.},
keywords={},
doi={10.1093/ietisy/e88-d.5.828},
ISSN={},
month={May},}

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TY - JOUR
TI - Web-based Constructive Shape Modeling Using Real Distance Functions
T2 - IEICE TRANSACTIONS on Information
SP - 828
EP - 835
AU - Pierre-Alain FAYOLLE
AU - Benjamin SCHMITT
AU - Yuichiro GOTO
AU - Alexander PASKO
PY - 2005
DO - 10.1093/ietisy/e88-d.5.828
JO - IEICE TRANSACTIONS on Information
SN -
VL - E88-D
IS - 5
JA - IEICE TRANSACTIONS on Information
Y1 - May 2005
AB - We present an approach and a web-based system implementation for modeling shapes using real distance functions. The system consists of an applet supporting the HyperFun modeling language. The applet is extended with primitives defined by Euclidean distance from a point to the surface of the shape. Set-theoretic operations (union, intersection, difference) that provide an approximation of the Euclidean distance to a shape built in a constructive way are introduced. Such operations have a controllable error of the exact Euclidean distance to the shape and preserve C¹ continuity of the overall function, which is an important condition for further operations and applications. The proposed system should help model various shapes, store them in a concise form, and exchange them easily between different entities on a network. The applet offers also the possibility to export the models defined in the HyperFun language to other formats for raytracing or rapid prototyping.
ER -