1
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Hodograph computation and bound estimation for rational B-spline curves

&
Pages 988-992 | Accepted 05 Jan 2007, Published online: 30 Aug 2007

References

  • Hermann , T . 1999 . On the derivatives of second and third degree rational Bézier curves . Computer Aided Geometric Design , 16 ( 3 ) : 157 – 173 .
  • Sederberg , T W and Wang , X . 1987 . Rational hodographs . Computer Aided Geometric Design , 4 ( 4 ) : 333 – 335 .
  • Floater , M S . 1992 . Derivatives or rational Bézier curves . Computer Aided Geometric Design , 9 ( 3 ) : 161 – 174 .
  • Selimovic , I . 2005 . New bounds on the magnitude of the derivative of rational Bézier curves and surfaces . Computer Aided Geometric Design , 22 ( 4 ) : 321 – 326 .
  • Wang , G J , Sederberg , T W and Saito , T . 1997 . Partial derivatives of rational Bézier surfaces . Computer Aided Geometric Design , 14 ( 4 ) : 377 – 381 .
  • Wang , G J , Wang , G Z and Zheng , J M . 2001 . Computer Aided Geometric Design (in Chinese), , 1st ed , Beijing : China Higher Education Press; . Heidelberg: Springer-Verlag Berlin
  • Satio , T , Wang , G J and Sederberg , T W . 1995 . Hodographs and normals of rational curves and surfaces. jComputer Aided Geometric Design . 12 ( 4 ) : 417 – 430 .
  • Mørken , K . 1991 . Some identities for products and degree raising of splines . Constructive Approximation , 7 ( 2 ) : 195 – 208 .
  • Xu , H X and Wang , G J . 2006 . Multiple products of B-splines used in CAD system . Progress in Natural Science , 16 ( 4 ) : 425 – 430 .
  • Pieg , L and Tiller , W . 1995 . The NURBS Book , Berlin : Springer .
  • Cohen , E , Lyche , T and Riesenfeld , R . 1980 . Discrete B-splines and subdivision techniques in computer aided geometric design and computer graphics . Computer Graphics & Image Processing , 14 ( 2 ) : 87 – 111 .
  • Lang , S and Analysis , I . 1978 . Reading: Addision-Wesley Publishing Company , : 59 – 62 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.