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Rational curves and rational singularities

✍ Scribed by Hubert Flenner; Mikhail Zaidenberg


Publisher
Springer-Verlag
Year
2003
Tongue
French
Weight
272 KB
Volume
244
Category
Article
ISSN
0025-5874

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We prove that if an nth degree rational BΓ©zier curve has a singular point, then it belongs to the two (n -1)th degree rational BΓ©zier curves defined in the (n -1)th step of the de Casteljau algorithm. Moreover, both curves are tangent at the singular point. A procedure to construct BΓ©zier curves wit

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In my letter to the Editor 1 of July 1988, I discussed one of the results I had presented one month before at Jerusalem: The geometric meaning of the two kinds of geometric continuity of segmented curves. In the case of a contact of order n (i.e. Barsky's geometric continuity) the involved geometric