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We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The re...

Qinmin Yang, Guozhao Wang

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15

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CAGD
2004

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Interpolatory rank-1 vector subdivision schemes

13 years 5 months ago

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The concept of stationary scalar subdivision being interpolatory does not always extend immediately to the vector valued case. We introduce the concepts of interpolating and data p...

Costanza Conti, Georg Zimmermann

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17

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CAGD
2004

136views more CAGD 2004»

Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces

13 years 5 months ago

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We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...

Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...

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12

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CAGD
2004

59views more CAGD 2004»

Single equation without inequalities to represent a composite curve

13 years 5 months ago

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A scheme is proposed based on an extension of Analytic Geometry to represent a composite curve either with a single equation or with two equations in the case of parametric repres...

E. Chicurel-Uziel

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