基于约束关系的平面立体三维重建  

Reconstructing Planar Object From Line Drawing Based on Con straints

作　　者：郭航[1] 储珺[2,3] 高满屯[4] 

机构地区：[1]南昌大学宣传部 [2]南昌航空工业学院土木建筑系 [3]西北工业大学机电工程学院,西安710072 [4]西北工业大学机电工程学院

出　　处：《计算机工程与应用》2004年第25期62-64,72,共4页Computer Engineering and Applications

基　　金：江西省自然科学基金(编号:0311018);陕西省自然科学基金(编号:2002E224);南昌航空工业学院测试技术与控制工程研究中心基金(编号:2003-013)

摘　　要：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。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.

关 键 词：三维重建 线图 轴测投影 平面立体 约束 

分 类 号：TP39141[自动化与计算机技术—计算机应用技术]