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�������պ����ѧѧ�� 2001, Vol. 27 Issue (3) :348-350    DOI:
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Calculation of an Orthographic Projection with the Projection Theorem
ZHENG Guo-lei1, ZHU Xin-xiong1, XU De2*
1. Beijing University of Aeronautics and Astronautics, School of Mechanical Engineering and Automation;
2. Chengdu Aircraft Corporation, Office of Chief Engineers

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Abstract�� 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: ��An orthographic projection of a 3-dimentional geometry is defined again with the mathematical concepts; ��In 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; ��The advantages of the method of calculating the orthographically projective transformation are concluded.
Keywords�� optimization   computer graphics   projective transformations     
Received 2000-01-11;
About author: ֣����(1964-),��,����������,������,100083,����.
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֣����, ������, ���.Ӧ�����Ż������е�ͶӰ�������ƽ����ͶӰ[J]  �������պ����ѧѧ��, 2001,V27(3): 348-350
ZHENG Guo-lei, ZHU Xin-xiong, XU De.Calculation of an Orthographic Projection with the Projection Theorem[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2001,V27(3): 348-350
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http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2001/V27/I3/348
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