光学学报, 2005, 25 (10): 1319, 网络出版: 2006-05-23
位错点阵投影的三维数字成像
Approach for Three-Dimensional Digital Imaging Via Position-Shift Point Array Projection
成像系统 三维数字成像 位错点阵 深度图像 轮廓测量 imaging systems 3-D digital imaging position-shift point array range image profilometry
摘要
提出一种基于位错点阵投影的三维数字成像方法,该方法以二维点阵结构光顺序照明参考平面和被测物体表面,通过分析分别投影在参考平面和物体上的点阵的成像过程,建立投射在参考平面和被测物体表面上的点阵中同一点在成像面上横向位置错动与被测物体深度之间的数学模型。依据此模型,通过计算相对应点在成像平面上的横向位移,可计算出物体的深度图像。二维点阵可以在垂直于光轴的平面内做横向和纵向的两维移动,以填补由于离散而丢失的其他空间点的深度信息,获得高空间分辨率。实验验证了该方法的可行性,此方法对于拓扑复杂的表面和大梯度表面有较强的适应性。
Abstract
A novel three-dimensional (3-D) imaging method based on position-shift point array projection is presented. A point-array structure light is projected sequentially onto the reference plane and the object surface, and then, a pair of point-array images form. By analyzing imaging process of the both point-arrays, a mathematical model that is able to express the relationship between height of the object and the lateral displacement of point is established. Based on this model, the 3-D digital image can be calculated by computing the lateral displacement of the same point on the two point-array images. In order to fill up the lost spatial information caused by discrete processing, the point-array can be moved along both lateral and axial direction step by step to achieve high spatial resolution. Experimental results are presented to show the theoretical predictions. This method is qualified for implementing 3-D profilometry of objects with complex topology or large height discontinuities.
田劲东, 彭翔. 位错点阵投影的三维数字成像[J]. 光学学报, 2005, 25(10): 1319. 田劲东, 彭翔. Approach for Three-Dimensional Digital Imaging Via Position-Shift Point Array Projection[J]. Acta Optica Sinica, 2005, 25(10): 1319.