Image reconstruction for frequency-domain diffuse optical tomography

Image reconstruction for frequency-domain diffuse optical tomography

The image reconstruction algorithm of diffuse optical tomography (DOT) is based on the diffusion equationand involves both the forward problem and inverse solution. The forward problem solves the diffusion equation usingthe finite element method for calculating the transmitted light distribution under the condition of presumed light sourceand optical coefficient. The inverse solution reconstructs the optical property coefficient distribution using Newton’smethod. The work within this study develops an image reconstruction algorithm for frequency-domain DOT. A numericalsimulations approach to light propagation in the tissue is conducted, while the optical property is reconstructed employingdata around the boundary. We implement different designated simulation cases, including different contrast ratios ofabsorption and reduced scattering coefficient of inclusion with respect to the background used for verifying the resultsof the forward problem and the developed reconstruction algorithm. Reconstruction results indicate that the quality ofreconstructed images can be effective for screening breast cancer.

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  • Bhowmik T, Liu H, Ye Z, Oraintara S. Dimensionality reduction based optimization algorithm for sparse 3-D image reconstruction in diffuse optical tomography. Sci Rep-Uk 2016; 6: 22242.
  • Wang B, Wan W, Wang Y, Ma W, Zhang L, Li J, Zhou Z, Zhao H, Gao F. An Lp (0 ≤ p ≤ 1)-norm regularized image reconstruction scheme for breast DOT with non-negative-constraint. Biomed Eng Online 2017; 16: 32.
  • Gibson A, Dehghani H. Diffuse optical imaging. Philos T R Soc A 2009; 367: 3055-3072.
  • Leff DR, Warren OJ, Enfield LC, Gibson A, Athanasiou T, Patten DK, Hebden J, Yang GZ, Darzi A. Diffuse optical imaging of the healthy and diseased breast: a systematic review. Breast Cancer Res Tr 2008; 108: 9-22.
  • Hebden JC, Arridge SR, Delpy DT. Optical imaging in medicine: I. Experimental techniques. Phys Med Biol 1997; 42: 825-840.
  • Dehghani H, Srinivasan S, Pogue BW, Gibson A. Numerical modelling and image reconstruction in diffuse optical tomography. Philos T R Soc A 2009; 367: 3073-3093.
  • Arridge SR, Schotland JC. Optical tomography: forward and inverse problems. Inverse Probl 2009; 25: 123010.
  • Chen LY, Pan MC, Pan MC. Implementation of edge-preserving regularization for frequency-domain diffuse optical tomography. Appl Optics 2012; 51: 43-54.
  • Bi B, Han B, Han W, Tang J, Li L. Image reconstruction for diffuse optical tomography based on radiative transfer equation. Comput Math Method M 2015; 2015: 286161.
  • Chen LY, Pan MC, Pan MC. Flexible near-infrared diffuse optical tomography with varied weighting functions of edge-preserving regularization. Appl Optics 2013; 52: 1173-1182.
  • Uludag K, Steinbrink J, Villringer A, Obrig H. Separability and cross talk: optimizing dual wavelength combinations for near-infrared spectroscopy of the adult head. Neuroimage 2004; 22: 583-589.
  • Wu HY, Filer A, Styles I, Dehghani H. Development of a multi-wavelength diffuse optical tomography system for early diagnosis of rheumatoid arthritis: simulation, phantoms and healthy human studies. Biomed Opt Express 2016; 7: 4769-4786.
  • Eames ME, Wang J, Pogue BW, Dehghani H. Wavelength band optimization in spectral near-infrared optical tomography improves accuracy while reducing data acquisition and computational burden. J Biomed Opt 2008; 13: 054037.
  • Chen LY, Pan MCheng, Yan CC, Pan MChun. Wavelength band optimization in spectral near-infrared optical tomography improves accuracy while reducing data acquisition and computational burden. Appl Optics 2016; 55: 5729-5737.
  • Zhang Q, Brukilacchio T, Li A, Stott J, Chaves T, Hillman E, Wu T, Chorlton M, Rafferty E, Moore R et al. Coregistered tomographic X-ray and optical breast imaging: initial results. J Biomed Opt 2005; 10: 024033.
  • Yuan Z, Zhang Q, Sobel ES, Jiang H. Tomographic X-ray-guided three dimensional diffuse optical tomography of osteoarthritis in the finger joints. J Biomed Opt 2008; 13: 044006.
  • Holboke M, Tromberg B, Li X, Shah N, Fishkin J, Kidney D, Butler J, Chance B, Yodh A. Three-dimensional diffuse optical mammography with ultrasound localization in a human subject. J Biomed Opt 2000; 5: 237-247.
  • Zhu Q, Tannenbaum S, Hegde P, Kane M, Xu C, Kurtzman S. Noninvasive monitoring of breast cancer during neoadjuvant chemotherapy using optical tomography with ultrasound localization. Neoplasia 2008; 10: 1028-1040.
  • Jiang Z, Piao D, Xu G, Ritchey JW, Holyoak GR, Bartels KE, Bunting CF, Slobodov G, Krasinki JS. Transrectal ultrasound-coupled near-infrared optical tomography of the prostate part ii: experimental demonstration. Opt Express 2008; 16: 17505-17520.
  • Ntziachristos V, Yodh A, Schnall M, Chance B. MRI-guided diffuse optical spectroscopy of malignant and benign breast lesions. Neoplasia 2002; 4: 347-354.
  • Dehghani H, Pogue B, Brooksby B, Srinivasan S, Paulsen K. In: 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro; 6–9 April 2006; Arlington, VA, USA. New York, NY, USA: IEEE. pp. 682-685.
  • Vavadi H, Zhu Q. Automated data selection method to improve robustness of diffuse optical tomography for breast cancer imaging. Biomed Opt Express 2016; 7: 4007-4020.
  • Guggenheim JA, Bargigia I, Farina A, Pifferi A, Dehghani H. Time resolved diffuse optical spectroscopy with geometrically accurate models for bulk parameter recovery. Biomed Opt Express 2016; 7: 3784-3794.
  • Arridge SR, Schweiger M, Hiraoka M, Delpy DT. A finite element approach for modeling photon transport in tissue. Med Phys 1993; 20: 299-309.
  • Pogue BW, Geimer S, McBride TO, Jiang S, Osterberg UL, Paulsen KD. Three-dimensional simulation of nearinfrared diffusion in tissue: boundary condition and geometry analysis for finite-element image reconstruction. Appl Optics 2001; 40: 588-600.
  • Jiang M, Zhou T, Cheng J, Cong W, Wang G. Image reconstruction for bioluminescence tomography from partial measurement. Opt Express 2007; 15: 11095-11116.
  • Liu Y, Su J, Lin ZJ, Teng S, Rhoden A, Pantong N, Liu H. Reconstructions for continuous-wave diffuse optical tomography by a globally convergent method. J Appl Math Phys 2014; 213.
  • Wang Z, Bovik AC, Sheikh HR, Simoncelli EP. Image quality assessment: from error visibility to structural similarity. IEEE T Image Process 2004; 13: 600-612.