Further Study on Oblique Axis Parabolic Interpolation for Curve Smoothing
It is more than 30 years since the publication of Oblique Axis Parabolic Interpolation for Curve Smoothing which has received approval and much attention in scientific field. Many scholars have been engaged in application of this interpolation principle sufficiently and in optimizing the process of its computation. They have concentrated themselves on researching the approximated solutions of canonical cubic algebraic equation and the refining methods to replace the original classical Cardan method of solving cubic algebraic equation. Recently, the author has found two simple and efficient mathematical methods for solving the cubic algebraic equation, i.e. the trigonometric solution based on Cardan formula and the excellent Shengjin formula created by the young Chinese mathematician Fan Shengjin. Both of these methods have been tested with the results of sufficiently accurate solutions. Another result of this research lies in the establishing the algorithm of defining the true azimuthal angle of oblique axis parabola, which had to be solved by probing methods previously.
oblique axis parabola smoothing interpolation Cardan formula Shengjin formula cubic equation
WU Hehai
School of Resource and Environment Sciences,Wuhan University,China,430079
国际会议
成都
英文
17-27
2011-05-13（万方平台首次上网日期，不代表论文的发表时间）