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A Brief History of Study on the Bound for Derivative of Rational Curves in CAGD

CAGD에서 유리 곡선의 미분과 그 상한에 관한 연구의 흐름

  • Received : 2014.08.21
  • Accepted : 2014.09.16
  • Published : 2014.10.31

Abstract

CAGD(Computer Aided Geometric Design) is a branch of applied mathematics concerned with algorithms for the design of smooth curves and surfaces and for their efficient mathematical representation. The representation is used for the computation of the curves and surfaces, as well as geometrical quantities of importance such as curvatures, intersection curves between two surfaces and offset surfaces. The $B\acute{e}zier$ curves, B-spline, rational $B\acute{e}zier$ curves and NURBS(Non-Uniform Rational B-Spline) are basically and widely used in CAGD. The definitions and properties of these curves are presented in this paper. And a brief history of study on the bound for derivative of rational curves in CAGD is also presented.

Acknowledgement

Supported by : 서원대학교

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