基于约束关系的平面立体三维重建

提出一种基于约束的平面立体三维重建算法。该算法采用参数化方式来表示空间直线及其投影,这种参数化方式能满足数字图像中直线提取所需的唯一性、有界性及均匀性条件。依据平面立体投影线图的拓扑结构隐含的三维信息,建立平面立体上棱线、表面空间位置参数之间的约束方程,联立约束方程组求其最小二乘解,恢复出平面立体的三维结构。研究成果可用于计算机视觉和智能CAD系统。

Reconstructing Planar Object From Line Drawing Based on Constraints

A new method is proposed for reconstructing a three-dimensional planar object from a single line drawing depicting it under perspective projection.The reconstructing method is based on coordinates with uniqueness,boundedness and uniformness for representing lines in two-dimensional and three-dimensional space.The coordinates relations are provided when two lines are intersecting,parallel,crossing,and perpendicular.On the basis of these coordinates relations,some new constraints about lines and planes have been proposed,and a system is established based on these constraints.The three-dimensional information of a planar body can be obtained by solving the system.In the interpretation of line drawing of a planar object under perspective projection,there existed at least four degrees of freedom.Reconstructing the three-dimensional structure of an object from two-dimensional line drawings is important for computer vision and intelligent CAD systems.