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Two-dimensional Potential Fields for Advanced Implicit Modeling Operators

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Abstract

Current methods for building models using implicit volume techniques present problems defining accurate and controllable blend shapes between implicit primitives. We present new methods to extend the freedom and controllability of implicit volume modeling. The main idea is to use a free-form curve to define the profile of the blend region between implicit primitives.

The use of a free-form implicit curve, controlled point-by-point in the Euclidean user space, allows us to group boolean composition operators with sharp transitions or smooth free-form transitions in a single modeling metaphor. This idea is generalized for the creation, sculpting and manipulation of volume objects, while providing the user with simplicity, controllability and freedom in implicit modeling.

ACM CSS: I.3.5 Computational Gemoetry and Object Modeling—Curve, surface, solid, and object representations
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Document Type: Research Article

Affiliations: 1: 1Rainbow Group, Computer Laboratory, William Gates Building, JJ Thomson Avenue, University of Cambridge, Cambridge CB3 0FD, UK 2: 2Numerical Geometry Ltd, 26 Abbey Lane, Lode, Cambridge, UK 3: 3Department of Computer Science, University of Calgary, 2500 University Dr. NW, Calgary, Alberta — T2N 1N4, Canada 4: 4IRIT/UPS, University of Toulouse, 118 route de Narbonne, 31062 Toulouse Cedex 4, France

Publication date: March 1, 2003

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