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.
参考文献

[1] 安冬, 盖绍彦, 达飞鹏. 一种新的基于条纹投影的三维轮廓测量系统模型[J]. 光学学报, 2014, 34(5): 0512004.

    An Dong, Gai Shaoyan, Da Feipeng. A new model of three-dimensional shape measurement system based on fringe projection[J]. Acta Optica Sinica, 2014, 34(5): 0512004.

[2] 蔡元元, 苏显渝. 采用多投影器的反向条纹投影技术[J]. 光学学报, 2006, 26(11): 1641-1646.

    Cai Yuanyuan, Su Xianyu. Inverse fringe projection technique using multi-projectors simultaneously[J]. Acta Optica Sinica, 2006, 26(11): 1641-1646.

[3] 肖朝, 杨红雨, 梁海军, 等. 多投影显示系统结构光几何校正算法[J]. 计算机辅助设计与图形学学报, 2013, 25(6): 802-808.

    Xiao Chao, Yang Hongyu, Liang Haijun, et al.. Geometric calibration for multi-projector display system based on structured light[J]. Journal of Computer-Aided Design & Computer Graphics, 2013, 25(6): 802-808.

[4] Schnleber M, Tiziani H J. Fast and flexible shape control with adaptive LCD fringe masks[C]. SPIE, 1997, 3098: 35-42.

[5] Michael K K, Wolfgang O, Werner J. Inverse projected fringe technique[C]. SPIE, 2001, 4317: 505-510.

[6] Bothe T, Li W S, von Kopylow C, et al.. Object-adapted inverse pattern projection: generation, evaluation, and applications[C]. SPIE, 2003, 4933: 291-296.

[7] Li W S, Bothe T, Kalms M, et al.. Applications for inverse pattern projection[C]. SPIE, 2003, 5144: 492-503.

[8] Li W S, Bothe T, Osten W, et al.. Object adapted pattern projection - part I: Generation of inverse patterns[J]. Optics and Lasers in Engineering, 2004, 41(1): 31-50.

[9] Cai Y, Su X. Inverse projected-fringe technique based on multi projectors[J]. Optics and Lasers in Engineering, 2007, 45(10): 1028-1034.

[10] 唐廷勇, 苏显渝. 反向条纹投影技术及其在数字地球仪中的应用[J]. 光电工程, 2010, 37(4): 60-65.

    Tang Tingyong, Su Xianyu. Inverse fringe projection and its application in the digital globe[J]. Opto-Electronic Engineering, 2010, 37(4): 60-65.

[11] 蔡元元, 苏显渝, 李勇, 等. 基于三次插值坐标变换的反向条纹投影技术[J]. 光电工程, 2006, 33(5): 85-90.

    Cai Yuanyuan, Su Xianyu, Li Yong, et al.. Inverse fringe projection technique based on the coordinate transformation using cubic interpolation[J]. Opto-Electronic Engineering, 2006, 33(5): 85-90.

[12] 陈云富, 李勇, 张海花, 等. 采用RBF神经网络求解反向条纹的研究[J]. 光学与光电技术, 2010, 8(5): 37-40.

    Chen Yunfu, Li Yong, Zhang Haihua, et al.. Inverse fringe solved with RBF neural network[J]. Optics & Optoelectronic Technology, 2010, 8(5): 37-40.

[13] 肖朝, 苏显渝, 荆海龙. 一种新的反向投影条纹生成方法研究[J]. 光学学报, 2008, 28(11): 2120-2124.

    Xiao Chao, Su Xianyu, Jing Hailong. A new method for generation of inverse projected fringe[J]. Acta Optica Sinica, 2008, 28(11): 2120-2124.

[14] 李雪, 张启灿. 基于剪枝优化算法的反向条纹生成方法[J]. 光学学报, 2013, 33(12): 1212003.

    Li Xue, Zhang Qican. Inverse fringe generation method based on pruning optimization algorithm[J]. Acta Optica Sinica, 2013, 33(12): 1212003.

[15] 张明敏, 潘志庚, 郑文庭, 等. 散乱点集Delaunay三角部分的分布并行算法[J]. 计算机辅助设计与图形学学报, 2000, 12(7): 484-487.

    Zhang Mingmin, Pan Zhigeng, Zheng Wenting, et al.. A distributed parallel algorithm for Delauna triangulation of scattered data points[J]. Journal of Computer Aided Design & Computer Graphics, 2000,12(7): 484-487.

[16] Barber C B, Dobkin D P, Huhdanpaa H. The quickhull algorithm for convex hulls[J]. ACM Transactions on Mathematical Software, 1996, 22(4): 469-483.

[17] 余杰, 吕品, 郑昌文. Delaunay三角网构建方法比较研究[J]. 中国图像图形学报, 2010, 15(8): 1158-1167.

    Yu Jie, Lü Pin, Zheng Changwen. A comparative research on methods of Delaunay triangulation[J]. Journal of Image and Graphics, 2010, 15(8): 1158-1167.

[18] 杨锋涛, 罗江龙, 刘志强, 等. 相位展开的6种算法比较[J]. 激光技术, 2008, 32(3): 323-326.

    Yang Fengtao, Luo Jianglong, Liu Zhiqiang, et al.. Comparison of six phase unwrapping algorithm[J]. Laser Technology, 2008, 32(3): 323-326.

[19] 刘剑, 田爱玲, 刘丙才, 等. 一种变频相移干涉测量的相位提取算法[J]. 光学学报, 2014, 34(3): 0312001.

    Liu Jian, Tian Ailing, Liu Bingcai, et al.. A phase extraction algorithm in wavelength tuning interferometry[J]. Acta Optica Sinica, 2014, 34(3): 0312001.

[20] 郭媛, 吴全, 陈小天, 等. 基于剪切干涉的单幅干涉条纹相位恢复算法[J]. 中国激光, 2015, 42(12): 1208003.

    Guo Yuan, Wu Quan, Chen Xiaotian, et al.. Phase retrieval method of single interference fringe pattern based on shearing interferometry[J]. Chinese J Lasers, 2015, 42(12): 1208003.

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.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!