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Topological correction of hypertextured implicit surfaces for ray casting

Gamito, M.N. and Maddock, S.C. (2008) Topological correction of hypertextured implicit surfaces for ray casting. The Visual Computer, 24 (6). pp. 397-409. ISSN 1432-2315

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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: Article
Copyright, Publisher and Additional Information: © Springer-Verlag 2008. This is an author produced version of a paper published in The Visual Computer. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Morse Theory, Implicit Surface, Hypertexturing, Ray Casting
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield)
Depositing User: Mr. Manuel N. Gamito
Date Deposited: 25 Jul 2008 12:20
Last Modified: 08 Feb 2013 16:56
Published Version: http://dx.doi.org/10.1007/s00371-008-0221-4
Status: Published
Publisher: Springer
Refereed: Yes
Identification Number: doi: 10.1007/s00371-008-0221-4
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/3927

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