Image restoration algorithms based on singular value decomposition of 3-D optical sectioning microscopy

LI Rui-fan; GUO Xue-bin; QU An-lian

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Image restoration algorithms based on singular value decomposition of 3-D optical sectioning microscopy

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- Image restoration algorithms based on singular value decomposition of 3-D optical sectioning microscopy
- Optics and Precision Engineering Vol. 9, Issue 3, Pages: 212-215(2001)
- 作者机构：
  
  1. 华中科技大学电子与信息工程系,湖北武汉,430074
  2. 华中科技大学生物物理与生物化学研究所,湖北武汉,430074
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391
- Received：09 March 2001，
  
  Revised：23 April 2001，
  
  Published Online：15 June 2001，
  
  Published：15 June 2001
- 稿件说明：
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李睿凡, 郭学彬, 瞿安连. 基于奇值分解的三维光学切片显微图像恢复算法研究[J]. 光学精密工程, 2001,(3): 212-215

LI Rui-fan, GUO Xue-bin, QU An-lian . Image restoration algorithms based on singular value decomposition of 3-D optical sectioning microscopy[J]. Editorial Office of Optics and Precision Engineering, 2001,(3): 212-215
李睿凡, 郭学彬, 瞿安连. 基于奇值分解的三维光学切片显微图像恢复算法研究[J]. 光学精密工程, 2001,(3): 212-215 DOI：

LI Rui-fan, GUO Xue-bin, QU An-lian . Image restoration algorithms based on singular value decomposition of 3-D optical sectioning microscopy[J]. Editorial Office of Optics and Precision Engineering, 2001,(3): 212-215 DOI：

摘要

阐述了光学切片显微技术的基本原理

分析了显微镜光学系统点扩展函数循环矩阵的奇异性造成荧光图像恢复质量大大降低所导致的病态问题

应用降质模糊矩阵的奇值分解方法

挑选出较大特征值

并将空域问题的求解通过傅立叶变换转到频率域

使计算的复杂度降低

最终得到较为理想的复原图像.

Abstract

The paper discusses the basic theory of optical sectioning microscopy

and also analyzes the ill posed problem caused by the degradation in fluorescence images resulting from the singularity of point-spread function circular matrix of the microscope system. By applying the singular value decomposition

the bigger eigenvalues are selected and the ill posed problem is solved. With the fast Fourier transform

this problem is transformed from space to frequency domain

which simplifies the computation process. Finally

a good result is achieved.

关键词

Keywords

references

Agard D A,Hiraoka Y,Shaw P, et al. Fluorescence microscopy in three dimensions[J]. Methods Cell Biol,1989,30:353-377.

Castleman K R. Digital image processing[M]. 北京:清华大学出版社,1998.

McNally J G,Karpova T, Cooper J, et al. Three-dimensional imaging by deconvolution microscopy[J]. Methods,1999,19:373-385.

蒋正新. 矩阵理论及其应用[M]. 北京:北京航空学院出版社, 1988.

Preza C, Miller M I, Thomas L J, et al.Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections[J]. J. Opt. Soc. Am, 1992,A9:219-228.

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Related Institution

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