APPLICATION OF DEGREE REDUCTION OF POLYNOMIAL BEZIER CURVES TO RATIONAL CASE

  • PARK YUNBEOM (Department of Mathematics Education, Seowon University) ;
  • LEE NAMYONG (Department of Mathematics and Statistics, Minnesota State University)
  • 발행 : 2005.03.01

초록

An algorithmic approach to degree reduction of rational Bezier curves is presented. The algorithms are based on the degree reduction of polynomial Bezier curves. The method is introduced with the following steps: (a) convert the rational Bezier curve to polynomial Bezier curve by using homogenous coordinates, (b) reduce the degree of polynomial Bezier curve, (c) determine weights of degree reduced curve, (d) convert the Bezier curve obtained through step (b) to rational Bezier curve with weights in step (c).

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