BSP-fields: An exact representation of polygonal objects by differentiable scalar fields based on binary space partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Journal: CAD Computer Aided Design
Volume: 43
Issue: 3
Pages: 265-277
ISSN: 0010-4485
DOI: 10.1016/j.cad.2010.11.011
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 the function-based modeling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples. © 2010 Elsevier Ltd. All rights reserved.
https://eprints.bournemouth.ac.uk/18561/
Source: Scopus
BSP-fields: An exact representation of polygonal objects by differentiable scalar fields based on binary space partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Journal: COMPUTER-AIDED DESIGN
Volume: 43
Issue: 3
Pages: 265-277
eISSN: 1879-2685
ISSN: 0010-4485
DOI: 10.1016/j.cad.2010.11.011
https://eprints.bournemouth.ac.uk/18561/
Source: Web of Science (Lite)
BSP-fields: An Exact Representation of Polygonal Objects by Differentiable Scalar Fields Based on Binary Space Partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Journal: Computer-Aided Design
Volume: 43
Issue: 3
Pages: 265-277
Publisher: Elsevier
ISSN: 0010-4485
DOI: 10.1016/j.cad.2010.11.011
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 the function-based modeling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples.
https://eprints.bournemouth.ac.uk/18561/
https://www.sciencedirect.com/science/article/pii/S0010448510002216
Source: Manual
Preferred by: Valery Adzhiev and Oleg Fryazinov
BSP-fields: An exact representation of polygonal objects by differentiable scalar fields based on binary space partitioning.
Authors: Fryazinov, O., Pasko, A.A. and Adzhiev, V.
Journal: Comput. Aided Des.
Volume: 43
Pages: 265-277
DOI: 10.1016/j.cad.2010.11.011
https://eprints.bournemouth.ac.uk/18561/
Source: DBLP
BSP-fields: An Exact Representation of Polygonal Objects by Differentiable Scalar Fields Based on Binary Space Partitioning
Authors: Fryazinov, O., Pasko, A. and Adzhiev, V.
Journal: Computer-Aided Design
Volume: 43
Issue: 3
Pages: 265-277
ISSN: 0010-4485
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 the function-based modeling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples.
https://eprints.bournemouth.ac.uk/18561/
Source: BURO EPrints