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ISSN 1000-9825, CODEN RUXUEW E-mail: jos@ Journal of Software, Vol.17, Supplement, November 2006, pp .38−45 http://www.j © 2006 by of Journal of Software. All rights reserved. Tel/Fax : +86-10 ∗ 均匀B 样条基与DP-NTP 基之间的转换与应用 1,2 1+ 成 敏 , 王国瑾 1(浙江大学 数学系,浙江 杭州 310027) 2(浙江工业大学 数学系,浙江 杭州 310032) Conversion Between Uniform B-Spline Bases and DP-NTP Bases and Its Application CHENG Min1,2, WANG Guo-Jin1+ 1(Department of Mathematics, Zhejiang University, Hangzhou 310027, China) 2(Department of Mathematics, Zhejiang University of Technology, Hangzhou 310032, China) + Corresponding author: Phn: +86-571ext 8306, E-mail: gjwang@ Cheng M, Wang GJ. Conversion between uniform B-spline bases and DP-NTP bases and its application. Journal of Software, 2006,17(Suppl.):38−45. / 1000-9825/ 17/s38.htm Abstract: B-spline basis is widely used in construction of curves and surfaces for its excellent property of being totally positive and locally adjustable. Uniform B-spline as a special case of B-spline is also worth researching for its convenience in operation in industry modeling. In 2003, Delgado and Peña had given another new form of curve, which is constructed by a new totally positive basis (DP-NTP basis). This kind of curve shows obvious advantage in computing, for the reason that it has linear complexity . Meanwhile, it has good shape preserving property . But regretfully it is not locally adjustable as how B-spline curves do. As to achieve the advantages of both, and as well make exchanging and transferring data possible between various systems, the conversion between uniform B-spline curves and DP-NTP curves is presented. Examples show that t