DocumentCode
2627991
Title
Blending pipe surfaces with piecewise algebraic surfaces
Author
Changsong, Chen ; Falai, Chen ; Yuyu, Feng
Author_Institution
Dept. of Math., Univ. of Sci. & Technol. of China, Hefei, China
fYear
2000
fDate
2000
Firstpage
175
Lastpage
182
Abstract
Given the positions and orientations of several pipe surfaces (cylinders) in 3D space, a scheme for constructing a piecewise algebraic surface to blend the pipe surfaces is presented. The algorithm starts with a suitable partitioning of the 3D space into tetrahedra or prisms in which the algebraic surface patches are defined. Then a smooth piecewise algebraic surface is constructed which meets the pipe surfaces with a certain order of geometric continuity. The proper choice of free parameters is briefly discussed
Keywords
algebra; computational geometry; piecewise polynomial techniques; surface fitting; 3D space partitioning; algebraic surface patches; cylinders; free parameters; geometric continuity; piecewise algebraic surfaces; pipe surfaces; prisms; smooth surface; surface blending; tetrahedra; Computer graphics; Interpolation; Irrigation; Mathematics; Partitioning algorithms; Shape control; Solid modeling; Space technology; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Graphics and Applications, 2000. Proceedings. The Eighth Pacific Conference on
Conference_Location
Hong Kong
Print_ISBN
0-7695-0868-5
Type
conf
DOI
10.1109/PCCGA.2000.883939
Filename
883939
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