NDLI: An exact representation of polygonal objects by $C^{1}-continuous$ scalar fields based on binary space partitioning

Content Provider	IEEE Xplore Digital Library
Author	Fryazinov, O. Pasko, A. Adzhiev, V.
Copyright Year	2009
Description	Author affiliation: The National Centre for Computer Animation, Bournemouth University, UK (Fryazinov, O.; Pasko, A.; Adzhiev, V.)
Abstract	The problem considered in this work is to find a dimension independent algorithm for the generation of signed scalar fields exactly representing polygonal objects and satisfying the following requirements: the defining real function takes zero value exactly at the polygonal object boundary; no extra zero-value isosurfaces should be generated; $C^{1}$ continuity of the function in the entire domain. The proposed algorithms are based on the binary space partitioning (BSP) of the object by the planes passing through the polygonal faces and are independent of the object genus, the number of disjoint components, and holes in the initial polygonal mesh. Several extensions of the basic algorithm are proposed to satisfy the selected optimization criteria. The generated BSP-fields allow for applying techniques of the function-based modelling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples.
Starting Page	132
Ending Page	139
File Size	278222
Page Count	8
File Format	PDF
ISBN	9781424440696
DOI	10.1109/SMI.2009.5170174
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Isosurfaces Application software Animation Partitioning algorithms Computer aided manufacturing Euclidean distance Shape Topology Clouds Data visualization Exact Conversion Implicit surfaces Boundary representation Function representation Binary Space Partitioning BSP-field
Content Type	Text
Resource Type	Article

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