Approximation of Archimedes Spiral with Polynomial s-Power Basis
To make Archimedes spiral segments fit the form of curve in the current CAD system, the approximation algorithm was proposed. The method is based on spower series, the two-point analogue of Taylor expansions. First, the define of s-power series was reviewed; and then the formula to calculate the spower coefficients of Archimedes spiral segments was given; finally, the algorithm was described step by step. The results of example show that the approximation method by use of s-Power Basis are correct and effective, and then suitable for the use of the CAD system.
CAD Archimedes spiral approximation s-power series Hermite interpolation
Cai Huahui Cheng Yan
School of Information Engineering Jingdezhen Ceramic Institute Jingdezhen, Jiangxi Province, China School of Art & Design Jingdezhen Ceramic Institute Jingdezhen, Jiangxi Province, China
国际会议
上海
英文
249-251
2011-03-11(万方平台首次上网日期,不代表论文的发表时间)