基于无限微元的地表面积求解  

An Original Solution to Sompute the Specific Surface area Based on the Theory of Infinite Subdivision

作　　者：吴育文[1] 郭子珑[1] 陈琛[2] 

机构地区：[1]东北大学秦皇岛分校,秦皇岛066004 [2]大连交通大学旅顺校区,大连116001

出　　处：《中国科技信息》2011年第23期48-48,66,共2页China Science and Technology Information

摘　　要：在信息化条件下,精确打击在作战中具有实际重大的意义。掌握敌方作战的一些具体信息如作战区域地貌信息等能为作战带来巨大便利。文章通过运用无限细分、近似计算的方法将不规则的地表面积的计算简化为三角形的面积计算这一简单过程。具体模型中首先运用数学软件matlab等将目标地形三维图中海拔高于12m的地表取出待用。此外,运用了海伦公式等数学方法来最终达到计算目标地表面积的目的。In the condition of informatization,pintpoint strike has its practical significance.So grasping the information of your enemy＇s camp bring a huge convenience for combat operations.In this article,we divide the irregular specific surface into countless tiny triangles with the methods of infinite subdivision and approximate calculation.In the concrete model,first we take out of the surface above 12m in the graphic model with the help of mathematical software matlab2010a.In addition,we calculate the area of each triangle with Helen Formula and the specific surface area is the sum of all triangle areas.

关 键 词：地表面积 海伦公式 无限微元 

分 类 号：O245[理学—计算数学] O123.6[理学—数学]