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
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;
Conference_Titel :
Computer Graphics and Applications, 2000. Proceedings. The Eighth Pacific Conference on
Conference_Location :
Hong Kong
Print_ISBN :
0-7695-0868-5
DOI :
10.1109/PCCGA.2000.883939
