id: 02112379 dt: j an: 02112379 au: Xie, Benhuai; Wang, Guojin ti: Approximating the derivative bounds of parametric curves and applying to curve rasterization. so: J. Softw. 14, No. 12, 2106-2112 (2003). py: 2003 pu: Editorial Board of Journal of Software, Institute of Software, The Chinese Academy of Sciences, Beijing; Science Press, Beijing la: ZH cc: ut: ci: li: ab: Summary: Some new formulae for the derivative bounds of parametric curves such as the general polynomial curves and rational polynomial curves in CAGD, are presented. Based on these new formulae, point-by-point algorithm for rasterizing parametric curves is developed in this paper. To solve the problem of repetition and discontinuity arising from the previous algorithms, a new rule of interpolation is given. rv: