An exact representation of polygonal objects by C<inf>1</inf>-continuous scalar fields based on binary space partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Pages: 132-139
ISBN: 9781424440702
DOI: 10.1109/SMI.2009.5170174
Abstract:The problem considered in this work isto 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 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. © 2009 IEEE.
Source: Scopus
An Exact Representation of Polygonal Objects by <i>C</i><SUP>1</SUP>-continuous Scalar Fields Based on Binary Space Partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Pages: 132-139
ISBN: 978-1-4244-4068-9
DOI: 10.1109/SMI.2009.5170174
Source: Web of Science (Lite)
An Exact Representation of Polygonal Objects by C1-continuous Scalar Fields Based on Binary Space Partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Publisher: National Centre for Computer Animation, Bournemouth University
Place of Publication: Poole
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.
http://hyperfun.org/TR-NCCA-2008-03.pdf
Source: Manual
Preferred by: Valery Adzhiev and Oleg Fryazinov
An exact representation of polygonal objects by C1-continuous scalar fields based on binary space partitioning.
Authors: Fryazinov, O., Pasko, A.A. and Adzhiev, V.
Pages: 132-139
Publisher: IEEE Computer Society
ISBN: 978-1-4244-4068-9
https://ieeexplore.ieee.org/xpl/conhome/5164155/proceeding
Source: DBLP