Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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DEGREE ELEVATION OF B-SPLINE CURVES AND ITS MATRIX REPRESENTATION

  • LEE, BYUNG-GOOK (Department of Applied Mathematics, Dongseo University) ;
  • PARK, YUNBEOM (Department of Mathematics Education, Seowon University)
  • Published : 2000.12.31
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Abstract

An algorithmic approach to degree elevation of B-spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The elevation method is introduced that consists of the following steps: (a) decompose the B-spline curve into piecewise $B{\acute{e}}zier$ curves, (b) degree elevate each $B{\acute{e}}zier$ piece, and (c) compose the piecewise $B{\acute{e}}zier$ curves into B-spline curve.

Keywords

Acknowledgement

Supported by : Dongseo University, Seowon University