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Topological correction of hypertextured implicit surfaces for ray casting

Gamito, M.N. and Maddock, S.C. (2007) Topological correction of hypertextured implicit surfaces for ray casting. In: IEEE International Conference on Shape Modeling and Applications. IEEE International Conference on Shape Modeling and Applications, 13 -15 June 2007, Lyon, France. IEEE , pp. 103-112. ISBN 0-7695-2815-5

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Abstract

Hypertextures are a useful modelling tool in that they can add three-dimensional detail to the surface of otherwise smooth objects. Hypertextures can be rendered as implicit surfaces, resulting in objects with a complex but well defined boundary. However, representing a hypertexture as an implicit surface often results in many small parts being detached from the main surface, turning an object into a disconnected set. Depending on the context, this can detract from the realism in a scene where one usually does not expect a solid object to have clouds of smaller objects floating around it. We present a topology correction technique, integrated in a ray casting algorithm for hypertextured implicit surfaces, that detects and removes all the surface components that have become disconnected from the main surface. Our method works with implicit surfaces that are C2 continuous and uses Morse theory to find the critical points of the surface. The method follows the separatrix lines joining the critical points to isolate disconnected components.

Item Type: Proceedings Paper
Copyright, Publisher and Additional Information: © Copyright 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield)
Depositing User: Sherpa Assistant
Date Deposited: 10 Jan 2008 14:39
Last Modified: 08 Feb 2013 16:55
Published Version: http://dx.doi.org/10.1109/SMI.2007.36
Status: Published
Publisher: IEEE
Identification Number: 10.1109/SMI.2007.36
URI: http://eprints.whiterose.ac.uk/id/eprint/3561

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