期刊文献+

基于离散余弦变换最小二乘法实现数字全息再现像的相位解包裹 被引量:8

Implement of phase unwrapping of digital holographic reconstruction image by discrete cosine transform least square method
下载PDF
导出
摘要 采用离轴菲涅尔数字全息系统对栅格进行了全息图的数字记录和数字再现,并用离散余弦变换(DCT)最小二乘法对数字全息再现像进行了相位解包裹处理。在此基础上,增加了后处理过程,即对原始包裹相位的相应点加上或减去2π的整数倍,与此最小二乘算法所求得的解包裹相位进行比较,使二者之差的绝对值达到最小,将原始包裹相位做处理后的相位值作为解包裹相位的最后结果。对栅格的解包裹相位三维图和原子力显微镜扫描获得的三维图的对比测量和分析结果证明了经后处理的解包裹相位精度得到了有效提高。 With Fresnel off-axis digital holography system, digital hologram of grid was recorded and reconstructed numerically. And the phase unwrapping of the reconstructed phase image was done, first by discrete cosine transform(DCT) least square method, and then post-processing, namely, an integer, multiple of 2π was added to or deducted the corresponding point of the original wrapped phase. This result was compared with that of phase unwrapping by DCT least square method, and until the smallest absolute value difference was obtained. The phase value processed of the original wrapped phase was taken as the final result of phase unwrapping. Measurement and analysis were performed about 3D image from phase unwrapping image of the grid and atomic force microscope. The results show that the precision of phase unwrapping can be improved by post-processing.
出处 《中国石油大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第6期169-173,共5页 Journal of China University of Petroleum(Edition of Natural Science)
基金 高等学校博士学科点专项科研基金(20050056010) 天津大学青年教师基金(985Q200624)
关键词 数字全息 相位解包裹 最小二乘算法 后处理 digital holography phase unwrapping least square method post-processing
  • 相关文献

参考文献10

  • 1XU Lei, PENG Xiayuan, ANAND A K, et al. Digital microholointerferometer: development and validation [ J ]. Opt Eng, 2003,42( 8 ) :2218-2224. 被引量:1
  • 2GOSDSTEIN R M, ZEBKER H A, WERNER C L. Satellite radar interferometry: two-dimensional phase unwrapping[ J]. Radio Science, 1988, 3 (3) :713-720. 被引量:1
  • 3QUIROGA J A, GONZALEZ-GANO A, BERNABEU E. Phase unwrapping algorithm based on an adaptive criterion[J]. Applied Optics,1995,34(14) :2560-2563. 被引量:1
  • 4FLYNN T J. Consistent 2-D phase unwrapping guided by a quality map: proceeding of the 1996 International Geoscience and Remote Sensing Symposium,27-31 May,1996 [C]. IEEE: Piscatway, NJ, USA,1996:2057-2059. 被引量:1
  • 5COSTANTINI M. A phase unwrapping method based on network programming: Proc Fringe' 96 Workshop, Zurich, Switzerland 30 September-2 October, 1996 [ C ]. Paris : European Space Agency, c1997:261-272. 被引量:1
  • 6GHIGLIA D C, ROMERO L A. Direct phase estimation from phase difference using fast elliptic partial differential equation solvers [ J ]. Optic Letters, 1989,14 ( 20 ) : 1107- 1109. 被引量:1
  • 7朱勇建,刘立人,栾竹,鲁伟,阳庆国,李大汕.相位解包裹算法中基于调制度的新质量图[J].中国激光,2006,33(5):667-672. 被引量:18
  • 8惠梅,王东生,李庆祥,邓年茂,徐毓娴.基于离散泊松方程解的相位展开方法[J].光学学报,2003,23(10):1245-1249. 被引量:35
  • 9GHIGLIA D C, ROMERO L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods [ J]. Journal of the Optical Society of America A, 1994,11 ( 1 ) : 107-117. 被引量:1
  • 10邹瑾..数字全息技术在微结构形貌测试中的应用研究[D].天津大学,2005:

二级参考文献20

  • 1路元刚,王向朝,何国田,钟向红,郑德锋.基于分支设置的质量导引相位展开算法[J].光学学报,2005,25(4):460-464. 被引量:6
  • 2Fornaro G, Franceschetti G, LanaH R et al . Robust phase-unwrapping techniques, a comparison. J Opt Soc Am (A), 1996, 13(11):2355-2366. 被引量:1
  • 3Song S M H, Napel S, Pele NJ etal.. Phase unwrapping of MR phase images using Poisson equation. IEEE Trans.Image Process, 1995, 4(1) :667-676. 被引量:1
  • 4Su X Y. Phase unwrapping techniques for 3-D shape measurement, laroc. SPIE, 1996, 2866:460-465. 被引量:1
  • 5Strand J, Taxt T. Performance evaluation of two-dimensional phase unwrapping algorithms. Appl Opt ,1999, 38(20) :4333-4344. 被引量:1
  • 6Hunt B R. Matrix formulation of the reconstruction of phase values from phase differences. J Opt Soc Am (A), 1979, 69(3):393-399. 被引量:1
  • 7Kerr D, Kaufmann G H, Galizzi G E. Unwrapping of interferometric phase-fringe maps by the discrete cosine transform. Appl Opt , 1996, 3S(5):810-816. 被引量:1
  • 8Ghiglia D C, Romero L A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods. J Opt Soc Am (A), 1994, 11(1):107-117. 被引量:1
  • 9Yuangang Lu, Xiangzhao Wang, Xianghong Zhong et al.. A new quality map for quality-guided phase unwrapping [J].Chin. Opt. Left. , 2004, 2(12):698-700 被引量:1
  • 10Thomas J. Flynn. Consistent 2-D phase unwrapping guided by a quality map [C]. Proceeding of the 1996 International Geoscience and Remote Sensing Symposium, Lincoln NE, May 27-31, 1996, IEEE, Piscataway, NJ, 2057-2059 被引量:1

共引文献49

同被引文献55

引证文献8

二级引证文献24

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部