Minimizing the maximal ratio of weights of a rational Bézier curve

نویسنده

  • Jianmin Zheng
چکیده

This paper presents a solution to the problem of reparameterizing a rational curve by a Möbius transformation such that the maximal ratio of weights in the reparameterized representation is minimized. The problem is reduced to solving a linear programming problem, which can be solved directly and simply. The result can be used to reparameterize rational curves so as to yield tight bounds on derivatives.  2004 Elsevier B.V. All rights reserved.

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Minimizing the maximal ratio of weights of rational Bézier curves and surfaces

Article history: Received 21 May 2009 Received in revised form 25 June 2010 Accepted 22 August 2010 Available online 16 September 2010

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2005