Abstract
We prove that if an open Non Uniform Rational B-Spline curve of order k has a singular point, then it belongs to both curves of order k — 1 defined in the k — 2 step of the de Boor algorithm. Moreover, both curves are tangent at the singular point.
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© 2002 Springer-Verlag Berlin Heidelberg
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Arnal, A., Lluch, A., Monterde, J. (2002). A Property on Singularities of NURBS Curves. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46080-2_24
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DOI: https://doi.org/10.1007/3-540-46080-2_24
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