DEVELOPABLE SURFACE PATCHES BOUNDED BY NURBS CURVES |
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Authors: | Leonardo Ferná ndez-Jambrina & Francisco Pé rez-Arribas |
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Institution: | ETSI Navales, Universidad Politécnica de Madrid, 28040-Madrid, Spain;ETSI Navales, Universidad Politécnica de Madrid, 28040-Madrid, Spain |
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Abstract: | In this paper we construct developable surface patches which are bounded by two
rational or NURBS curves, though the resulting patch is not a rational or NURBS surface
in general. This is accomplished by reparameterizing one of the boundary curves. The
reparameterization function is the solution of an algebraic equation. For the relevant case
of cubic or cubic spline curves, this equation is quartic at most, quadratic if the curves are
Bézier or splines and lie on parallel planes, and hence it may be solved either by standard
analytical or numerical methods. |
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Keywords: | NURBS Bézier Rational spline Developable surfaces |
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