基于MATLAB的不規則平面立體表面積計算
和蘊鋒,杜宏明
(西南交通大学 机械工程学院,四川 成都 610031)
摘要:在空間坐標系中,不規則平面立體的各個坐標點易知,表面積難求;爲了找到一種方便、高效的求表面積的方法,以MATLAB爲平台,對不規則平面立體的表面積計算做了研究。空間任意平面可由多個空間三角形組合而成,利用空間向量叉乘得到任意三角形面積,進而得到空間平面面積,則易求不規則立方體表面積;利用MATLAB卓越的數值計算能力,建立數據連接表,實現計算不規則表面積的通用平台。在此平台上,僅需輸入所求平面立體的各點坐標,即可得到其表面積數據,結果顯示,對于不規則立體表面的計算時間不超過三秒,而誤差率不大于0.00001
關鍵詞:不規則平面立體;表面積;MATLAB
中图分类号:TP391.75           文献标识码:A        文章编号:1006-0316 (2012) 02-0012-03
Surface area’s calculation of irregular plane in 3 dimensional space based on MATLAB
HE Yun-feng,DU Hong-ming
(School of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China)
Abstract:In 3 dimensional space(3D), each coordinate of irregular plane is easy to get and surface area of it is hard to find; In order to find a convenient and effective method for calculating surface area of irregular plane, the surface area’s calculation of three-dimensional irregular plane was studied using the method of MATLAB as the platform. An arbitrary planar in 3D space can be composed of multiple spatial triangle, Use multiplication cross of vector fork to get the area of arbitrarily triangle, then we can get the area of the planar, follow that we can be easy to get the surface area of irregular plane; establish data connection table Establish data connection table by outstanding numerical computation ability of MATLAB to get the common platform of irregular plane’s surface area calcuiation. In this platform, entering each point coordinates of irregular plane can get the surface area’s data, the results showed that the calculation time is no more than three seconds, and the error rate is not more than 0.00001.
Key words:irregular plane(3D);surface area;MATLAB

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收稿日期:2011-06-10
作者簡介:和蘊鋒(1988-),女,河南漯河人,碩士研究生,主要研究方向爲CAD/CAM;杜宏明(1956-),男,四川成都人,工學碩士,副教授,主要研究方向爲CAD/CAM和圖形圖像處理及可視化技術運用。

 

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