Paper Title:
Biquadratic TC-Bézier Curves with Shape Parameter
  Abstract

Shape controlling is a popular topic in curves and surfaces design with free form. In this paper, a new curve, to be called Biquadratic TC-Bézier curves with shape parameter , is constructed in the space . We show that such curves share the same properties as the traditional Bézier curves in polynomial spaces. The shape of new curves, representing circle and ellipse accurately, can be adjusted by changing the value of the parameter . Then we give the G1 continuity conditions of Biquadratic TC-Bézier curves with shape parameter and its application in surfaces modeling.

  Info
Periodical
Key Engineering Materials (Volumes 467-469)
Edited by
Dehuai Zeng
Pages
57-62
DOI
10.4028/www.scientific.net/KEM.467-469.57
Citation
X. M. Liu, X. P. Yang, Y. L. Wu, "Biquadratic TC-Bézier Curves with Shape Parameter", Key Engineering Materials, Vols. 467-469, pp. 57-62, 2011
Online since
February 2011
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Price
$32.00
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