An Exact Representation of Polygonal Objects by C1-continuous Scalar Fields Based on Binary Space Partitioning.

Fryazinov, O., Pasko, A. and Adzhiev, V., 2008. An Exact Representation of Polygonal Objects by C1-continuous Scalar Fields Based on Binary Space Partitioning. Technical Report. Poole: National Centre for Computer Animation, Bournemouth University.

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Official URL: http://hyperfun.org/TR-NCCA-2008-03.pdf

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; C1 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 to the basic algorithm are proposed to satisfy the selected optimization criteria. The generated BSP-fields allow for applying techniques of function-based modelling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples.

Item Type:Monograph (Technical Report)
Additional Information:ISBN: 1-85899-123-4
Uncontrolled Keywords:Function representation, polygonal mesh, BRep, FRep, scalar fields, binary space partitionin, BSP, exact conversion
Subjects:Generalities > Computer Science and Informatics
Group:Media School
ID Code:7023
Deposited By:Professor Alexander Pasko
Deposited On:14 Jan 2009 19:04
Last Modified:07 Mar 2013 14:54

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