NDLI: Algorithms for G$^{1}$ connection of multiple parametric bicubic NURBS surfaces

Content Provider	Springer Nature Link
Author	Chui, Charles K. Lai, Ming Jun Lian, Jian ao
Copyright Year	2000
Abstract	The objective of this paper is to introduce an innovative approach for constructing effective algorithms for removing gaps between parametric NURBS surfaces in three-space, while maintaining geometrical smoothness for the combined (or compound) surface. Similar to the degenerate case of tensor-product B-spline surfaces, if the underlying knot sequences along the connecting boundaries of two NURBS surfaces are proportional, then the parametric surfaces can be connected in a G$^{1}$ fashion. This approach can be easily extended to connecting three or four parametric NURBS surfaces. We will demonstrate the feasibility of our approach by focusing on the C$^{1}$ bicubic setting with knot sequences being equally-spaced and having double interior knots.
Starting Page	285
Ending Page	313
Page Count	29
File Format	PDF
ISSN	10171398
Journal	Numerical Algorithms
Volume Number	23
Issue Number	4
e-ISSN	15729265
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2000-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theory of Computation Numeric Computing Mathematics Algebra Algorithms
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Algorithms for G$^{1}$ connection of multiple parametric bicubic NURBS surfaces