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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2015 Vol.16 No.3 P.173-190
Interpolation of a spline developable surface between a curve and two rulings
Abstract: In this paper we address the problem of interpolating a spline developable patch bounded by a given spline curve and the first and the last rulings of the developable surface. To complete the boundary of the patch, a second spline curve is to be given. Up to now this interpolation problem could be solved, but without the possibility of choosing both endpoints for the rulings. We circumvent such difficulty by resorting to degree elevation of the developable surface. This is useful for solving not only this problem, but also other problems dealing with triangular developable patches.
Key words: Developable surfaces, Spline surfaces, Blossoms
创新点：给定一条样条曲线和起始直母线构造插值可展样条曲面，需先给出曲面对边边界样条曲线。而用传统方法构造插值可展样条曲面不能限制两条直母线的全部端点。本文通过将可展样条曲面升阶的方法，在增加起始直母线全部端点的限制条件下，解决已知某一样条曲线和起始直母线的可展样条曲面插值问题。
方法：通过将可展样条曲面升阶，解决给定一条样条曲线和起始直母线及其全部端点情形下可展样条曲面插值问题。
结论：给定一条样条曲线和可展曲面的起始直母线及其端点，通过将可展样条曲面升阶，解决可展样条面片插值构造。此方法同样适用于三角可展样条曲面插值（图10）。
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DOI:
10.1631/FITEE.14a0210
CLC number:
TP391
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On-line Access:
2015-03-04
Received:
2014-07-09
Revision Accepted:
2014-10-29
Crosschecked:
2015-02-04