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Adequate Inner Bound for Geometric Modeling with Compact Field Functions

Canezin, Florian and Guennebaud, Gaël and Barthe, Loïc Adequate Inner Bound for Geometric Modeling with Compact Field Functions. (2013) Computer & Graphics, 37 (6). 565-573. ISSN 0097-8493

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Official URL: http://dx.doi.org/10.1016/j.cag.2013.05.024

Abstract

Recent advances in implicit surface modeling now provide highly controllable blending effects. These effects rely on the field functions of R3→R in which the implicit surfaces are defined. In these fields, there is an outside part in which blending is defined and an inside part. The implicit surface is the interface between these two parts. As recent operators often focus on blending, most efforts have been made on the outer part of field functions and little attention has been paid on the inner part. Yet, the inner fields are important as soon as difference and intersection operators are used. This makes its quality as crucial as the quality of the outside. In this paper, we analyze these shortcomings, and deduce new constraints on field functions such that differences and intersections can be seamlessly applied without introducing discontinuities or field distortions. In particular, we show how to adapt state of the art gradient-based union and blending operators to our new constraints. Our approach enables a precise control of the shape of both the inner or outer field boundaries. We also introduce a new set of asymmetric operators tailored for the modeling of fine details while preserving the integrity of the resulting fields.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Computer & Graphics website : http://www.sciencedirect.com/science/article/pii/S009784931300099X#
HAL Id:hal-01123642
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université de Bordeaux (FRANCE)
Laboratory name:
Funders:
ANR-11-JS02- 007
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Deposited By: IRIT IRIT
Deposited On:05 Mar 2015 11:02

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