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2015, Volume 16, Issue 3

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Frontiers of Information Technology & Electronic Engineering >> 2015, Volume 16, Issue 3 doi: 10.1631/FITEE.14a0210

Interpolation of a spline developable surface between a curve and two rulings

ETSI Navales, Universidad Politécnica de Madrid, Arco de la Victoria 4, Madrid 28040, Spain

Available online: 2015-03-12
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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.

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