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UNIFYING REPRESENTATION OF BZIER CURVE AND GENERALIZED BALL CURVES 被引量:15

UNIFYING REPRESENTATION OF BZIER CURVE AND GENERALIZED BALL CURVES
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摘要 This paper presents two new families of the generalized Ball curves which include the Be ′zier curve, the generalized Ball curves defined by Wang and Said independently and some intermediate curves. The relative degree elevation and reduction schemes, recursive algorithms and the Bernstein\|Be ′zier representation are also given. This paper presents two new families of the generalized Ball curves which include the Be ′zier curve, the generalized Ball curves defined by Wang and Said independently and some intermediate curves. The relative degree elevation and reduction schemes, recursive algorithms and the Bernstein\|Be ′zier representation are also given.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第1期109-121,共13页 高校应用数学学报(英文版)(B辑)
关键词 Be'zier curve generalized Ballcurve degree elevation and reduction recursive algorithm . Be'zier curve,generalized Ballcurve,degree elevation and reduction,recursive algorithm .
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参考文献8

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  • 3Wang,G.J.,Ball curve of high degree and its geometric properties,Appl.Math.J.Chinese Univ.1987,2:126~140(in Chinese).
  • 4Said,H.B.,Generalized Ball curve and its recursive algorithm, ACMTrans.Graph,1989,8:360~371.
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