关于透视投影逆变换基本方程及有关问题的讨论  

DISCUSSION ON THE FUNDAMENTAL EQUATION OF INVERSE TRANSFORMATION OF PERSPECTIVE PROJECTION AND SOME COGNATE PROBLAMS

作　　者：陈谷新[1] 

机构地区：[1]中国农业大学

出　　处：《工程图学学报》1996年第2期21-28,共8页Journal of Engineering Graphics

摘　　要：对《任意曲线透视投影的逆变换》中作出的以下３项研究结果进行了探讨并提出了不同见解：（１）透视投影的逆变换基本方程；（２）根据长方体上一个矩形的投影确定其长宽高之比；（３）由实体的透视图象准确重建其三维信息。Discussed are three research results, made by the paper of 《Inverse transformation of arbitrary perspective projection curve》: (1) the fundamental equation of the inverse transformation of perspective projection; (2) evaluating the proportion of length, wide and height or the cuboid under such condition, that only known the projection about one of its rectangles; (3) accurate rebuilding 3-D information of the object based on its perspective projection. After the thorough study of above-mentioned results, the following conclusions were reached: (1) The fundamental equation of inverse transformation is not accorded with the basic thery or central axonometric projection; (2) It is not correct that the unknown parameters can be determined by the computational method without enough information.

关 键 词：透视投影 中心轴测投影 三维信息重建 

分 类 号：O185[理学—数学]