Dual Focal Splines and Rational Curves with Rational Oosets

نویسندگان

  • Marian Neamtu
  • Helmut Pottmann
  • Larry L. Schumaker
چکیده

We review the theory of homogeneous splines and their relationship to special rational splines considered by J. SS anchez{Reyes and independently by P. de Casteljau who called them focal splines. Applying an appropriate duality, we transform focal splines into a remarkable class of rational curves with rational oosets. We investigate geometric properties of these dual focal splines, and discuss applications to curve design problems.

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تاریخ انتشار 1997