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CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2015-02-04
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Interpolation of a spline developable surface between a curve and two rulings
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Alicia Cantón, Leonardo Fernández-Jambrina. Interpolation of a spline developable surface between a curve and two rulings[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(3): 173-190.
@article{title="Interpolation of a spline developable surface between a curve and two rulings",
author="Alicia Cantón, Leonardo Fernández-Jambrina",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="16",
number="3",
pages="173-190",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.14a0210"
}
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%A Alicia Cantón
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%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.14a0210
TY - JOUR
T1 - Interpolation of a spline developable surface between a curve and two rulings
A1 - Alicia Cantón
A1 - Leonardo Fernández-Jambrina
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 16
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SP - 173
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%@ 2095-9184
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DOI - 10.1631/FITEE.14a0210
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.
The work of this manuscript is a good addition to the theoretical part of developable surfaces. Although Section 5 is basically known stuff from the referenced paper Fernanderze 2007, it extended the original work with both analysis and examples.
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