光学学报, 2016, 36 (7): 0712001, 网络出版: 2016-07-08   

基于Delaunay三角剖分的反向条纹生成方法

Generation Method of Inverse Fringes Based on Delaunay Triangulation
作者单位
1 成都信息工程大学光电技术学院, 四川 成都 610225
2 四川大学电子信息学院, 四川 成都 610064
摘要
为提高反向条纹生成的速度和精度,提出了一种基于Delaunay三角剖分的反向条纹生成方法。利用投影机坐标系与相机坐标系之间的正向映射关系,将相机坐标系上的相位点组成相位散乱点集合,并进行Delaunay三角剖分。将投影机坐标系上的相位点作为插值点,找出插值点所对应的Delaunay三角形并进行插值计算,插值后即得到预期反向条纹的垂直和水平方向的相位值,利用这些相位值可进一步生成反向条纹。计算机模拟实验和实物仿真实验表明,所提方法在反向条纹生成的速度和精度上均有改进,具有较高的应用价值。
Abstract
In order to improve the speed and accuracy of generating inverse fringes, a method of generating inverse fringes based on Delaunay triangulation is proposed. With this method, the forward mapping relation between projector coordinate and camera coordinate is used. The phase points on camera coordinate compose a set of scattered phase points, with which the Delaunay triangulation mesh is generated. Meanwhile, the phase points on projector coordinate are treated as interpolation points, which are used to find the corresponding Delaunay triangulation. After the interpolation operation is finished, the expected phase values of inverse fringes along vertical and horizontal directions are obtained. With these phase values, the inverse fringes can be further generated. The computer simulation and real object simulation experiments both demonstrate that the above method possesses advantages to improve the accuracy and speed of generating inverse fringes, which makes it has a high application value.

肖朝, 陈锋, 钟敏, 苏显渝. 基于Delaunay三角剖分的反向条纹生成方法[J]. 光学学报, 2016, 36(7): 0712001. Xiao Chao, Chen Feng, Zhong Min, Su Xianyu. Generation Method of Inverse Fringes Based on Delaunay Triangulation[J]. Acta Optica Sinica, 2016, 36(7): 0712001.

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