The special geometric restrictions like parallelism and perpendicularity implicated in vanishing elements are deeply studied. In single-view case,the theory is presented to interpret relationship between two planar lines by applying 3D invariants of vanishing points.
详细论述了消失元素(消失点、消失直线、消失平面等)所体现的垂直、平行等特殊几何约束关系；对单视图，提出了一种利用消失点列的3D不变量解释平面直线关系的方法；对双视图，提出了利用自共轭三角形和对极几何约束，提取任意直线的消失点的算法，并在此基础了提出了一种利用消失元素的3D不变量解释直线间、直线与平面间、平面间等多种空间几何关系的方法。
参考来源 - 目标3D不变特征的提取与应用A method based on RANSAC algorithm to estimate the vanishing points of three orthogonal images is discussed. Compared with classical least square method the proposed method is better in general or slightly degenerate conditions.
分析了基于RANSAC算法估计消隐点的方法。
参考来源 - 基于消隐点的结构化场景的三维重建·2,447,543篇论文数据，部分数据来源于NoteExpress
以上来源于: WordNet
N-COUNT The vanishing point is the point in the distance where parallel lines seem to meet. 灭点 [usu sing]
The motorway stretched out ahead of me until it narrowed to a vanishing point some miles away.
高速公路在我面前延伸开去，直至在几英里外汇合成一个小点。
N-UNCOUNT If you say that something has reached vanishing point, you mean it has become very small or unimportant. 微不足道的程度
By 1973, this gap had narrowed almost to vanishing point.
到1973年，这一差距已缩小到几乎为零。
He also wrote a book on PERSPECTIVE that included a general treatment of VANISHING POINTS.
他还写出了一部关于透视的著作，其中包括对没影点的一般处理。
The rotation matrix can be linearly acquired by using only 4 vanishing points and the translation vector can be linearly solved by using only 2 spatial point objects.
该方法仅需4对消隐点象面坐标便可线性求解出旋转矩阵，再用2个空间点坐标便可线性求解出平移矢量。
The main content of the paper is as follow:(1) camera calibrationUse the single-view calibrating method of vanishing points to calibrate the non-metric digital camera.
本文的主要内容如下：（1）相机标定运用单像灭点理论，对实验所使用的非量测数码相机进行标定。
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