应用最优化理论中的投影定理计算平行正投影

Calculation of an Orthographic Projection with the Projection Theorem

拟应用最优化理论中的投影定理 ,从理论上严格证明物体平行正投影的存在和唯一性 ,并在此基础上建立一个全新的平行正投影计算方法 .内容包括 :①应用数学语言阐明三维物体平行正投影的含义 ;②应用最优化理论中的相关理论依次论证与投影定理有关的几个命题 ,并在此基础上严格证明物体平行正投影的存在和唯一性 ,以及利用傅里叶级数形式建立平行正投影计算式 ;

This paper describes the process of proving the sole existence of an orthographic projection for a 3 dimentional geometry based on the projection theorem in the optimal theory, and proposes a new method of calculating the orthographically projective transformation of an object. It includes: ①An orthographic projection of a 3 dimentional geometry is defined again with the mathematical concepts; ②In order to apply the projection theorem, a series of propositions related to the orthographic projection are proved sequentially, and then the sole existence of an orthographic projection for a 3 dimentional object is strictly testified and the orthographically projective transformation of an object is found with respect to the Fourier series; ③The advantages of the method of calculating the orthographically projective transformation are concluded.