Study of a minimum zone method for circular arc and parabola

• Main Authors: Wang,Guay-Jen, 王貴珍
• Other Authors: Fan,Kuang-Chao
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/16597534524659440702

碩士 === 國立臺灣大學 === 機械工程研究所 === 82 === The purpose of this article is to present a minimum zone method to estimate the profile error for circular arc and parabola be- cause the study of the profile error for arc and parabola have not presented in the past. The minimum zone method proposed in this article set up the criteria for the minimum zone solution first,obtained 1-1model from the least-squares method ,utilized minimum intersectional angle to obtain 2-1 or 1-2model, and then minimum tangent rotat- ion angle to obtain 2-2model. Finally, utilized strict rules for data exchange to obtain the minimum zone solution for circular arc. The minimum zone solution for parabola was obtained by means of data exchange and convergent method. Finally, the software which rapidly displayed the result was developed according to the above analysis.Comparing with the existing least-squares method through some examples, it can be shown that the minimum zone method can provide better result.