Calculation of an Orthographic Projection with the Projection Theorem

ZHENG Guo-lei; ZHU Xin-xiong; XU De

Volume 27 Issue 3

Mar. 2001

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Abstract

References

Journal of Beijing University of Aeronautics and Astronautics > 2001 > 27(3): 348-350.

ZHANG Xuejun, LI Mei, LI Chengze, et al. An Ensemble Adversarial Black-box Attack Scheme for Fingerprint Indoor Localization[J]. Journal of Beijing University of Aeronautics and Astronautics. doi: 10.13700/j.bh.1001-5965.2024.0730(in Chinese)

Citation:

ZHENG Guo-lei, ZHU Xin-xiong, XU Deet al. Calculation of an Orthographic Projection with the Projection Theorem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3): 348-350. (in Chinese)

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Calculation of an Orthographic Projection with the Projection Theorem

1.
Beijing University of Aeronautics and Astronautics, School of Mechanical Engineering and Automation
2. Chengdu Aircraft Corporation, Office of Chief Engineers

Received Date: 11 Jan 2000
Publish Date: 31 Mar 2001

Abstract

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: 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.
- optimization,
- computer graphics,
- projective transformations