运用Matlab讨论椭球面性质  

Discussing Ellipsoid Properties by Using Matlab

作　　者：杨慧[1] 王新年[1] 

机构地区：[1]太原师范学院几何代数研究室,太原030001

出　　处：《大学数学》2015年第5期120-126,共7页College Mathematics

摘　　要：椭球面是测绘学\\物理学中常用的曲面之一.本文通过运用Matlab强大的绘图功能和设计技巧,用四种方法绘制了三轴椭球面,设计了平行截割法研究曲面形状的程序,且在Matlab中实现了椭球面的切平面与法线的设计,另外依据软件采用矩阵处理问题特点,实现了椭球面生成过程的动画设计.通过运行程序,表明运用Matlab可以得到生动、逼真的曲面动态图形.The ellipsoid is one of the curved surface in surveying and mapping science ,physics .In this paper ,by using the powerful drawing graphics and designing skills ,four methods are used to draw the three-axis ellipsoid .The program of parallel cutting method is designed to study surface shape ,and a tangent plane and normal are analyzed .In addition ,on the basis of data processing techniques of using matrix characteristics ,implements the ellipsoid generation process of animation design .By running the program ,it shows that the vivid and perfect animations surface can been formed based on Matlab .

关 键 词：MATLAB 椭球面 平行截割法 动态图形 

分 类 号：G642.0[文化科学—高等教育学]