Properties of two types of generalized ball curves

  title={Properties of two types of generalized ball curves},
  author={Shi-Min Hu and Guo-Zhao Wang and Tong-Guang Jin},
  journal={Computer-Aided Design},
Ball basis was introduced for cubic polynomials by Ball, and was generalized for polynomials of higher degree by Wang and Said. In this paper, we investigate degree elevation and reduction, recursive algorithm, enveloping theorem, and BCzier representation of these two generalized Ball curves. Furthermore, the efficiency of de Casteljau algorithm for Btzier curves and recursive algorithms for two generalized Ball curves is compared. 
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