Unifying C-curves and H-curves by extending the calculation to complex numbers

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Unifying C-curves and H-curves by extending the calculation to complex numbers

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Unifying C-curves and H-curves by extending the calculation to complex numbers

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Jiwen Zhang, Frank-L. Krause, Huaiyu Zhang.

9(2005)P865-883

Reporter:张瑞坤

*C-curves (Pottmann, 1993; Zhang, 1996, 1997, 1999). {sin t, cos t, t, 1}.

*H-curves (Pottmann, 1993; Lu et al., 2002). {sinh t, cosh t, t, 1}.

在复数域上构造参数变换,统一两种曲线,以便能更方便地表示曲线曲面.

use parameter C﹙0﹤C﹤∞﹚

□CB-splines

C= cos( )( ).

□HB-splines

C= cosh( )( )

Also, use parameter

□CB-splines

□HB-splines

1)

2)

Form(8)

谢谢!

2006.2.23