Application of RPCA in optical coherence tomography for speckle noise reduction

Optical coherence tomography (OCT) is a promising technology, which could be used in a variety of imaging applications. However, OCT images are usually degraded by speckle noise. Speckle noise reduction in OCT is particularly challenging because it is difficult to separate the noise and the information components in the speckle pattern. In this study, a novel speckle noise reduction technique, based on robust principal component analysis (RPCA), is presented and applied to OCT images for the first time. The proposed technique gives an optimal estimate of OCT image domain transformations such that the matrix of transformed OCT images can be decomposed as the sum of a sparse matrix of speckle noise and a low-rank matrix of the denoised image. The decomposition is a unique feature of the proposed method which can not only reduce the speckle noise, but also preserve the structural information about the imaged object. Applying the proposed technique to a number of OCT images showed significant improvement of image quality.

[1]  Huajiang Wei,et al.  Quantification of glycerol diffusion in human normal and cancer breast tissues in vitro with optical coherence tomography , 2010 .

[2]  Adrian Mariampillai,et al.  Can temporal analysis of optical coherence tomography statistics report on dextrorotatory-glucose levels in blood? , 2011 .

[3]  Hongkai Zhao,et al.  Robust principal component analysis-based four-dimensional computed tomography , 2011, Physics in medicine and biology.

[4]  J. Schmitt,et al.  Speckle in optical coherence tomography. , 1999, Journal of biomedical optics.

[5]  Valery V. Tuchin,et al.  Enhanced OCT imaging of embryonic tissue with optical clearing , 2008 .

[6]  Kirill V. Larin,et al.  Speckle variance OCT imaging of the vasculature in live mammalian embryos , 2011 .

[7]  Yi Ma,et al.  Robust principal component analysis? , 2009, JACM.

[8]  Pietro Paolo Corso,et al.  Control of electron motion in a molecular ion: Dynamical creation of a permanent electric dipole , 2007 .

[9]  Huajiang Wei,et al.  Enhancement of permeability of glycerol with ultrasound in human normal and cancer breast tissues in vitro using optical coherence tomography , 2010 .

[10]  J. Barton,et al.  Flow measurement without phase information in optical coherence tomography images. , 2005, Optics express.

[11]  David Alonso-Caneiro,et al.  Speckle reduction in optical coherence tomography imaging by affine-motion image registration. , 2011, Journal of biomedical optics.

[12]  Igor Meglinski,et al.  Application of wavelet analysis in optical coherence tomography for obscured pattern recognition , 2009 .

[13]  Lawrence Carin,et al.  Bayesian Robust Principal Component Analysis , 2011, IEEE Transactions on Image Processing.

[14]  V. B. Oshurko,et al.  Water ordering under laser radiation , 2007 .

[15]  P. Golovinski,et al.  Scattering of ultrashort laser pulse by atomic systems , 2006 .

[16]  Victor N. Bagratashvili,et al.  Self-organization of filaments from Au particles in transparent solids, stimulated by laser photolysis of incorporated Au precursor , 2011 .

[17]  M. K. Swami,et al.  Imaging of human breast tissue using polarization sensitive optical coherence tomography , 2011 .

[18]  S. N. Malov,et al.  Effect of laser annealing on the dynamics of hologram recording in self-developed dichromated gelatin layers , 2009 .

[19]  Hui Ma,et al.  Transverse flow velocity quantification using optical coherence tomography with correlation , 2011 .

[20]  Adrian Mariampillai,et al.  Speckle variance detection of microvasculature using swept-source optical coherence tomography. , 2008, Optics letters.

[21]  Kirill V. Larin,et al.  Quantification of molecular diffusion in arterial tissues with optical coherence tomography and fluorescence microscopy , 2009 .

[22]  Ota Samek,et al.  The potential of Raman spectroscopy for the identification of biofilm formation by Staphylococcus epidermidis , 2010 .

[23]  Zhouyi Guo,et al.  The potential optical coherence tomography in tooth bleaching quantitative assessment , 2011 .

[24]  Zhouyi Guo,et al.  Determination of optical properties of oxidative bleaching human dental tissue samples using optical coherence tomography , 2012 .

[25]  Kostadinka Bizheva,et al.  Interval type-II fuzzy anisotropic diffusion algorithm for speckle noise reduction in optical coherence tomography images. , 2009, Optics express.

[26]  A. Baba,et al.  Wavelet analysis and Arnold web picture for detecting energy transfer in a Hamiltonian dynamical system , 2006 .

[27]  Sergey G. Proskurin,et al.  Imaging of subcutaneous blood vessels and flow velocity profiles by optical coherence tomography , 2010 .

[28]  V. V. Lunin,et al.  Eye tissue structure and refraction alterations upon nondestructive laser action , 2006 .

[29]  John Wright,et al.  RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images , 2012, IEEE Trans. Pattern Anal. Mach. Intell..

[30]  Zhaoxia Yu,et al.  Speckle attenuation in optical coherence tomography by curvelet shrinkage. , 2009, Optics letters.

[31]  Alexander Wong,et al.  General Bayesian estimation for speckle noise reduction in optical coherence tomography retinal imagery. , 2010, Optics express.

[32]  J. Fujimoto,et al.  Optical Coherence Tomography , 1991 .

[33]  Pietro Paolo Corso,et al.  Evidence of nuclear motion in H2-like molecules by means of high harmonic generation , 2008 .

[34]  Bruce J. Tromberg,et al.  Three-dimensional speckle suppression in optical coherence tomography based on the curvelet transform , 2010, Optics express.

[35]  Huajiang Wei,et al.  Quantifying glucose permeability and enhanced light penetration in ex vivo human normal and cancerous esophagus tissues with optical coherence tomography , 2010 .

[36]  Kirill V. Larin,et al.  Quantification of glucose diffusion in arterial tissues by using optical coherence tomography , 2007 .

[37]  Hui Li,et al.  Feasibility of glucose monitoring based on Brownian dynamics in time-domain optical coherence tomography , 2011 .

[38]  Kostadinka Bizheva,et al.  Speckle noise reduction algorithm for optical coherence tomography based on interval type II fuzzy set. , 2007, Optics express.

[39]  A. Chorvatova,et al.  Multi-wavelength fluorescence lifetime spectroscopy: a new approach to the study of endogenous fluorescence in living cells and tissues , 2009 .

[40]  N. V. Minaev,et al.  Laser-induced atomic assembling of periodic layered nanostructures of silver nanoparticles in fluoro-polymer film matrix , 2010 .

[41]  Adrian Mariampillai,et al.  Optimized speckle variance OCT imaging of microvasculature. , 2010, Optics letters.

[42]  Xin Wang,et al.  Raman spectral properties of squamous cell carcinoma of oral tissues and cells , 2012 .

[43]  J. Fujimoto,et al.  Speckle reduction in optical coherence tomography images by use of a spatially adaptive wavelet filter. , 2004, Optics letters.

[44]  J. A. Pérez-Hernández,et al.  Harmonic generation beyond the Strong-Field Approximation: Phase and temporal description , 2010 .