Structural information within regularization matrices improves near infrared diffuse optical tomography

Optics Express

Volumn 15, Issue 13, 2007, Pages 8043-8058

  Yalavarthy, Phaneendra K ^a   Pogue, Brian W ^a   Dehghani, Hamid ^b   Carpenter, Colin M ^a   Jiang, Shudong ^a   Paulsen, Keith D ^a  

^a DARTMOUTH COLLEGE   (United States)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING; OPTICAL TOMOGRAPHY; PARAMETER ESTIMATION;

HELMHOLTZ-TYPE STRUCTURE; OBJECTIVE FUNCTION; PARAMETER REDUCTION; STRUCTURAL INFORMATION;

IMAGE RECONSTRUCTION;

EID: 34250898491     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.008043     Document Type: Article

References (38)

1. D. A. Boas, D. H. Brooks, E. L. Miller, C. A. DiMarzio, M. Kilmer, R. J. Gaudette, and Q. Zhang, "Imaging the body with diffuse optical tomography," IEEE Sig. Proc. Mag. 18, 57-75 (2001).
2. B. W. Pogue, M. Testorf, T. McBride, U. Osterberg, and K. D. Paulsen, "Instrumentation and design of a frequency-domain diffuse optical tomography imager for breast cancer detection," Opt. Express 1, 391-403 (1997).
3. S. Srinivasan, B. W. Pogue, S. Jiang, H. Dehghani, C. Kogel, S. Soho, J. J. Gibson, T. D. Tosteson, S. P. Poplack and K. D. Paulsen, "Interpreting Hemoglobin and Water Concentration, Oxygen Saturation and Scattering Measured in Vivo by Near-Infrared Breast Tomography," Proc. Nat. Acad. Sci. U.S.A. 100, 12349-12354 (2003).
4. Q. Zhu, N. G. Chen, and S. C. Kurtzman, "Imaging tumor angiogenesis by use of combined near-infrared diffusive light and ultrasound," Opt. Lett. 28, 337-339 (2003).
5. Q. Zhang, T. J. Brukilacchio, A. Li, J. J. Stott, T. Chaves, E. Hillman, T. Wu, M. Chorlton, E. Rafferty, R. H. Moore, D. B. Kopans, and D. A. Boas, "Coregistered tomographic x-ray and optical breast imaging: initial results," J Biomed. Opt. 10, 024033:1-9 (2005).
6. B. Brooksby, S. Jiang, C. Kogel, M. Doyley, H. Dehghani, J. B. Weaver, S. P. Poplack, B. W Pogue, and K. D Paulsen, "Magnetic resonance guided near infrared tomography of the breast," Rev. Sci. Instrum. 75, 5262-5270 (2004).
7. A. Li, E. L. Miller, M. E. Kilmer, T. J. Brukilacchio, T. Chaves, J. Stott, Q. Zhang, T. Wu, M. Chorlton, R. H. Moore, D. B. Kopans, and D. A. Boas, "Tomographic optical breast imaging guided by three-dimensional mammography," Appl. Opt. 42, 5181-5190 (2003).
8. A. Li, G. Boverman, Y. Zhang, D. Brooks, E. L. Miller, M. E. Kilmer, Q. Zhang, E. M. C. Hillman, and D. A. Boas, "Optimal linear inverse solution with multiple priors in diffuse optical tomography," Appl. Opt. 44, 1948-1956 (2005).
9. V. Ntziachristos, A. G. Yodh, M. Schnall, and B. Chance, "Concurrent MRI and diffuse optical tomography of breast after indocyanine green enhancement," Proc. Nat. Acad. Sci. U.S.A. 97, 2767-2772 (2000).
10. G. Boverman, E. L. Miller, A. Li, Q. Zhang, T. Chaves, D. H. Brooks, and D. Boas, "Quantitative spectroscopic diffuse optical tomography of the breast guided by imperfect a priori structural information," Phys. Med. Biol. 50, 3941-3956 (2005).
11. R. L. Barbour, H. L. Graber, J. W. Chang, S. L. S. Barbour, P. C. Koo, R. Aronson, "MRI-guided optical tomography: Prospects and computation for a new imaging method," IEEE Comp. Sci. Eng. 2, 63-77 (1995).
12. A. H. Hielscher and S. Bartel, "Use of penalty terms in gradient-based iterative reconstruction schemes for optical tomography," J. Biomed. Opt. 6, 183-192 (2001).
13. V. Ntziachristos, X. H. Ma, and B. Chance, "Time-correlated single photon counting imager for simultaneous magnetic resonance and near-infrared mammography," Rev. Sci. Instrum. 69, 4221-4233 (1998).
14. B. Brooksby, H. Dehghani, B. W. Pogue, and K. D. Paulsen, "Near infrared (NIR) tomography breast image reconstruction with a priori structural information from MRI: algorithm development for reconstructing heterogeneities," IEEE J. Sel. Top. Quantum Electron. 9, 199-209 (2003).
15. B. Brooksby, S. Jiang, H. Dehghani, B. W. Pogue, K. D. Paulsen, J. Weaver, C. Kogel and S. P. Poplack, "Combining near infrared tomography and magnetic resonance imaging to study in vivo breast tissue: implementation of a Laplacian-type regularization to incorporate magnetic resonance structure," J. Biomed. Opt. 10, 051504:1-10 (2005).
16. B. Brooksby, B. W. Pogue, S. Jiang, H. Dehghani, S. Srinivasan, C. Kogel, T. D. Tosteson, J. Weaver, S. P. Poplack and K. D. Paulsen, "Imaging breast adipose and fibroglandular tissue molecular signatures using Hybrid MRI-Guided Near-Infrared Spectral Tomography," Proc. Nat. Acad. Sci. U.S.A. 103, 8828-8833 (2006).
17. M. F. Ernst and J. A. Roukema, "Diagnosis of non-palpable breast cancer: a review," The Breast 11, 13 (2002).
18. H. Dehghani, B. W. Pogue, S. P. Poplack, and K. D. Paulsen, "Multiwavelength three-dimensional near-infrared tomography of the breast: initial simulation, phantom, and clinical results," Appl. Opt. 42, 135-145 (2003).
19. X. Wang, B.W. Pogue, S. Jiang, X. Song, K.D. Paulsen, C. Kogel, S.P. Poplack, and W.A. Wells, "Approximation of Mie scattering parameters in near-infrared tomography of normal breast tissue in vivo," J. Biomed. Opt. 10, 051704:1-8 (2005).
20. S. R. Arridge, "Optical tomography in medical imaging," Inv. Problems 15, R41-R93 (1999).
21. S. Srinivasan, B. W. Pogue, H. Dehghani, S. Jiang, X. Song, and K. D. Paulsen, "Improved quantification of small objects in near-infrared diffuse optical tomography," J. Biomed. Opt. 9, 1161-1171 (2004).
22. H. Dehghani, B. W. Pogue, J. Shudong, B. Brooksby, and K. D. Paulsen, "Three-dimensional optical tomography: resolution in small-object imaging," Appl. Opt. 42, 3117-3126 (2003).
23. B. Brooksby, S. Srinivasan, S. Jiang, H. Dehghani, B. W. Pogue, K. D. Paulsen, J. Weaver, C. Kogel, and S. P. Poplack, "Spectral priors improve near-infrared diffuse tomography more than spatial priors," Opt. Lett. 30, 1968-1970 (2005).
24. H. Jiang, K. D. Paulsen, and U. Osterberg, B. W. Pogue, and M. S. Patterson, "Optical image reconstruction using frequency domain data: simulations and experiments," J. Opt. Soc. Am. A 13, 253-266 (1996).
25. M. Schweiger, S. R. Arridge, M. Hiroaka, and D. T. Delpy, "The Finite Element Model for the Propagation of Light in Scattering Media: Boundary and Source Conditions," Med. Phys. 22, 1779-1792 (1995).
26. K. D. Paulsen and H. Jiang, "Spatially varying optical property reconstruction using a finite element diffusion equation approximation," Med. Phys. 22, 691-701 (1995).
27. A. N. Tikhonov, "Regularization of mathematically incorrectly posed problems," Soviet Math. Dokl. 4, 1624-1627 (1963).
28. P. K. Yalavarthy, B. W. Pogue, H. Dehghani, and K. D. Paulsen, "Weight-matrix structured regularization provides optimal generalized least-squares estimate in diffuse optical tomography," Med. Phys. 34(6), 2085-2098 (2007).
29. K. Levenberg, "A method for the solution of certain nonlinear problems in least squares," Q. Appl. Math. 2, 164-168 (1944).
30. D. W. Marquardt, "An algorithm for least squares estimation of nonlinear parameters," J. Soc. Ind. Appl. Math. 11, 431-441 (1963).
31. H. Jiang, K. D. Paulsen, U. Osterberg, B. W. Pogue, and M. S. Patterson, "Simultaneous reconstruction of optical absorption and scattering maps in turbid media from near-infrared frequency-domain data," Opt. Lett. 20, 2128-2130 (1995).
32. B. W. Pogue, K. D. Paulsen, H. Kaufman, and C. Abele, "Calibration of near-infrared frequency-domain tissue spectroscopy for absolute absorption coefficient quantitation in neonatal head-simulating phantoms," J. Biomed. Opt. 5, 185-193 (2000).
33. S. Jiang, B. W. Pogue, T. O. McBride, M. M. Doyley, S. P. Poplack, and K. D. Paulsen, "Near-infrared breast tomography calibration with optoelastic tissue simulating phantoms," J. Electron. Imaging 12, 613-620 (2003).
34. D. R. Lynch, Numerical partial differential equations for environmental scientists and engineers - A first practical course, (Springer, Edition 1, 2005).
35. T. O. Mcbride, B. W. Pogue, S. Jiang, U. L. Osterberg, and K. D. Paulsen, "A parallel-detection frequency-domain near-infrared tomography system for hemoglobin imaging of the breast in vivo," Rev. Sci. Instrum. 72, 1817-1824 (2001).
36. P. K. Yalavarthy, H. Dehghani, B. W. Pogue, and K. D. Paulsen, "Critical computational aspects of near infrared circular tomographic imaging: Analysis of measurement number, mesh resolution and reconstruction basis," Opt. Express 14, 6113-6127 (2006).
37. B. Brooksby, Combining near infrared tomography and magnetic resonance imaging to improve breast tissue chromophore and scattering assessment, Ph.D. Thesis, Dartmouth College, May 2005.
38. S. Srinivasan, B. W. Pogue, H. Dehghani, S. Jiang, X. Song, and K. D. Paulsen, "Effect of image reconstruction bias upon spectroscopy-based quantification of chromophores in near infrared tomography," Proc. OSA Biomedical Topical Meetings, OSA Technical Digest, WB3:1-3, Optical Society of America, Washington, DC (2004).