국가지식-학술정보
DEGREE ELEVATION OF B-SPLINE CURVES AND ITS MATRIX REPRESENTATION
DEGREE ELEVATION OF B-SPLINE CURVES AND ITS MATRIX REPRESENTATION
- 한국산업응용수학회
- Journal of the Korean Society for Industrial and Applied Mathematics
- Vol.4 No.2
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2000.011 - 9 (9 pages)
- 0
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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.
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