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Spline approximations of real algebraic surfaces
Bajaj, CL; Xu, GL
1997-02-01
Source PublicationJOURNAL OF SYMBOLIC COMPUTATION
ISSN0747-7171
Volume23Issue:2-3Pages:315-333
AbstractWe use a combination of both symbolic and numerical techniques to construct several degree bounded G(0) and G(1) continuous, piecewise spline approximations of real implicit algebraic surfaces for both computer graphics and geometric modeling. These approximations are based upon an adaptive triangulation (a G(0) planar approximation) of the real components of the algebraic surface, and include both singular points and singular curves on the surface. A curvilinear wireframe is also constructed using minimum bending energy, parametric curves with additionally normals varying along them. The spline approximations over the triangulation or curvilinear wireframe could be one of several forms: either low degree, implicit algebraic splines (triangular A-patches) or multivariate functional B-splines (B-patches) or standardized rational Bernstein-Bezier patches (RBB), or triangular rational B-Splines. The adaptive triangulation is additionally useful for a rapid display and animation of the implicit surface. (C) 1997 Academic Press Limited.
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:A1997WT34300013
PublisherACADEMIC PRESS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28974
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST COMPUTAT MATH,BEIJING,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Bajaj, CL,Xu, GL. Spline approximations of real algebraic surfaces[J]. JOURNAL OF SYMBOLIC COMPUTATION,1997,23(2-3):315-333.
APA Bajaj, CL,&Xu, GL.(1997).Spline approximations of real algebraic surfaces.JOURNAL OF SYMBOLIC COMPUTATION,23(2-3),315-333.
MLA Bajaj, CL,et al."Spline approximations of real algebraic surfaces".JOURNAL OF SYMBOLIC COMPUTATION 23.2-3(1997):315-333.
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