通过2种方法得到了凸体Legendre椭球的体积公式, 并给出了有限条线段Minkowski和的体积公式; 作为应用, 举例计算了几个具体凸体的Legendre 椭球, 并利用Matlab 软件画出了相关图形.
A volume formula of the Legendre ellipsoid of convex body is obtained by using two different methods. Also, the volume formula of the Minkowski sum of finite segments is established by using mathematical induction. As applications, the Legendre ellipsoids of several specific convex bodies are calculated and depicted with Matlab.
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