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投影与任意轴测图的生成——论图形变换和投影的若干问题之二

Projective Transformation and Generation of Arbitrary Axonometric Drawing

  • 摘要: 对已有文献中的投影变换几乎均忽略了第三维坐标的叙述方法进行了讨论,认为在齐次投影变换矩阵中应该保持信息的完整性指出已有文献中的“投影”(正投影和透视投影)插图的错误,分析了产生这些错误的原因,并给出了正确的表示形式最后,给出了一个产生任意轴测图的统一的齐次变换矩阵生成公式,它保持了原物体的深度方向.

     

    Abstract: This paper is focused on “projection” of projective transformation matrix. First, a comment is made to the fact of the ignorance of the third dimension coordinate, in the most books presently published. The author assorts in the paper that information integrality of homogenous projective transformation matrix should be maintained. Secondly, the author indicates the errors in the “projective” figures in those books, and analyzes the reasons, with right formats proposed. Finally, a method for generating unified homogenous transformation matrix is provided, which allows to generate any axonometric drawings with original object's depth direction reserved.

     

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