1
Arridge S. R., Schotland J. C., “Optical tomography: forward and inverse problems,” Inv. Prob.. 25, (12 ), 123010 (2009). 0266-5611 CrossRef
2
Arridge S. R., “Optical tomography in medical imaging,” Inv. Prob.. 15, (2 ), R41 –R93 (1999). 0266-5611 CrossRef
3
Gibson A. P., Hebden J. C., Arridge S. R., “Recent advances in diffuse optical imaging,” Phys. Med. Biol.. 50, (4 ), R1 –R43 (2005). 0031-9155 CrossRef
4
Yalavarthy P. K. et al., “Structural information within regularization matrices improves near infrared diffuse optical tomography,” Opt. Express. 15, (13 ), 8043 –8058 (2007). 1094-4087 CrossRef
5
Boas D. A., Dale A. M., Franceschini M. A., “Diffuse optical imaging of brain activation: approaches to optimizing image sensitivity, resolution, and accuracy,” Neuroimage. 23, , S275 –S288 (2004). 1053-8119 CrossRef
6
Yalavarthy P. K. et al., “Implementation of a computationally efficient least-squares algorithm for highly under-determined three-dimensional diffuse optical tomography problems,” Med. Phys.. 35, (5 ), 1682 –1697 (2008). 0094-2405 CrossRef
7
Zhai Y., Cummer S. A., “Fast tomographic reconstruction strategy for diffuse optical tomography,” Opt. Express. 17, (7 ), 5285 –5297 (2009). 1094-4087 CrossRef
8
Kolehmainen V. et al., “Approximation errors and model reduction in three-dimensional diffuse optical tomography,” J. Opt. Soc. Am. A. 26, (10 ), 2257 –2268 (2009). 0740-3232 CrossRef
9
Landragin-Frassati A. et al., “Application of a wavelet-Galerkin method to the forward problem resolution in fluorescence diffuse optical tomography,” Opt. Express. 17, (21 ), 18433 –18448 (2009). 1094-4087 CrossRef
10
Eames M. E. et al., “An efficient Jacobian reduction method for diffuse optical image reconstruction,” Opt. Express. 15, (24 ), 15908 –15919 (2007). 1094-4087 CrossRef
11
Yalavarthy P. K. et al., “Weight-matrix structured regularization provides optimal generalized least-squares estimate in diffuse optical tomography,” Med. Phys.. 34, (6 ), 2085 –2098 (2007). 0094-2405 CrossRef
12
Kanmani B., Vasu R. M., “Diffuse optical tomography using intensity measurements and the a priori acquired regions of interest: theory and simulations,” Phys. Med. Biol.. 50, (2 ), 247 –264 (2005). 0031-9155 CrossRef
13
Guven M. et al., “Effect of discretization error and adaptive mesh generation in diffuse optical absorption imaging: I,” Inv. Prob.. 23, (3 ), 1115 –1133 (2007). 0266-5611 CrossRef
14
Ye J. C. et al., “Nonlinear multigrid algorithms for Bayesian optical diffusion tomography,” IEEE Trans. Image Process.. 10, (6 ), 909 –922 (2001). 1057-7149 CrossRef
15
Wang Z. M. et al., “Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data sets,” Opt. Lett.. 30, (24 ), 3338 –3340 (2005). 0146-9592 CrossRef
16
Markel V. A., Schotland J. C., “Symmetries, inversion formulas, and image reconstruction for optical tomography,” Phys. Rev. E. 70, (5 ), 056616 (2004). 1063-651X CrossRef
17
Powell M. J. D., “Radial basis functions for multivariable interpolation: a review,” in Algorithms for Approximation. , pp. 143 –167, Clarendon Press , New York (1987).
18
Vidal-Rosas E. E. et al., “Real-time diffuse optical tomography using reduced-order light propagation models,” in Proc. of the 8th IASTED Int. Conf. on Biomedical Engineering , pp. 378 –385, ACTA Press (2011).
19
Bluestone A. Y. et al., “Three-dimensional optical tomographic brain imaging in small animals, Part 1: Hypercapnia,” J. Biomed. Opt.. 9, (5 ), 1046 –1062 (2004). 1083-3668 CrossRef
20
Dunn A. K. et al., “Spatial extent of oxygen metabolism and hemodynamic changes during functional activation of the rat somatosensory cortex,” Neuroimage. 27, (2 ), 279 –290 (2005). 1053-8119 CrossRef
21
Culver J. P. et al., “Evidence that cerebral blood volume can provide brain activation maps with better spatial resolution than deoxygenated hemoglobin,” Neuroimage. 27, (4 ), 947 –959 (2005). 1053-8119 CrossRef
22
Culver J. P. et al., “Volumetric diffuse optical tomography of brain activity,” Opt. Lett.. 28, (21 ), 2061 –2063 (2003). 0146-9592 CrossRef
23
Siegel A. M. et al., “Temporal comparison of functional brain imaging with diffuse optical tomography and fMRI during rat forepaw stimulation,” Phys. Med. Biol.. 48, (10 ), 1391 –1403 (2003). 0031-9155 CrossRef
24
Schmitz C. H. et al., “Dynamic studies of small animals with a four-color diffuse optical tomography imager,” Rev. Sci. Instrum.. 76, (9 ) (2005). 0034-6748 CrossRef
25
Schweiger M. et al., “The finite-element method for the propagation of light in scattering media—boundary and source conditions,” Med. Phys.. 22, (11 ), 1779 –1792 (1995). 0094-2405 CrossRef
26
Paulsen K. D., Jiang H. B., “Spatially varying optical property reconstruction using a finite-element diffusion equation approximation,” Med. Phys.. 22, (6 ), 691 –701 (1995). 0094-2405 CrossRef
27
Hielscher A. H., Alcouffe R. E., Barbour R. L., “Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues,” Phys. Med. Biol.. 43, (5 ), 1285 –1302 (1998). 0031-9155 CrossRef
28
Wendland H., “Computational aspects of radial basis function approximation,” Studies Comput. Math.. 12, , 231 –256 (2006).CrossRef
29
Franke R., “Smooth interpolation of scattered data by local thin plate splines,” Comput. Math. Appl.. 8, (4 ), 273 –281 (1982). 0898-1221 CrossRef
30
Buhmann M. D., Radial Basis Functions: Theory and Implementations. , Cambridge Monographs on Applied and Computational Mathematics , Cambridge University Press , Cambridge (2003).
31
Arridge S. R., “Photon-measurement density-functions. 1. Analytical forms,” Appl. Opt.. 34, (31 ), 7395 –7409 (1995). 0003-6935 CrossRef
32
Arridge S. R., Schweiger M., “Photon-measurement density-functions. 2. Finite-element-method calculations,” Appl. Opt.. 34, (34 ), 8026 –8037 (1995). 0003-6935 CrossRef
33
Vidal-Rosas E. E., “Advanced tomographic reconstruction methods for diffuse optical imaging of cerebral heamodynamic response,” PhD Thesis, University of Sheffield (2011).
34
Billings S. A., Chen S., Korenberg M. J., “Identification of mimo non-linear systems using a forward-regression orthogonal estimator,” Int. J. Ctrl.. 49, (6 ), 2157 –2189 (1989). 0020-7179
35
Graber H. L., Pei Y. L., Barbour R. L., “Imaging of spatiotemporal coincident states by DC optical tomography,” IEEE Trans. Med. Imaging. 21, (8 ), 852 –866 (2002). 0278-0062 CrossRef
36
Nocedal J., Wright S., Numerical Optimization. , Springer Series in Operations Research , 2nd ed., Springer , New York (2006).
37
Qin J., Lu R., “Hyperspectral diffuse reflectance for determination of the optical properties of milk and fruit and vegetable juice,” Proc. SPIE. 5996, , 232 –241 (2005).
38
Gratton E. et al., “Measurements of scattering and absorption changes in muscle and brain,” Philos. Trans. R. Soc. B: Biol. Sci.. 352, (1354 ), 727 –735 (1997). 0962-8436 CrossRef
39
Fishkin J. B. et al., “Gigahertz photon density waves in a turbid medium: theory and experiments,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics. 53, (3 ), 2307 –2319 (1996). 1063-651X CrossRef
40
Gratton G. et al., “Feasibility of intracranial near-infrared optical scanning,” Psychophysiology. 31, (2 ), 211 –215 (1994). 0048-5772 CrossRef
41
Fishkin J. B., Gratton E., “Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge,” J. Opt. Soc. Am. A. 10, (1 ), 127 –140 (1993). 0740-3232 CrossRef
42
Cheong W. F., Prahl S. A., Welch A. J., “A review of the optical-properties of biological tissues,” IEEE J. Quantum Electron.. 26, (12 ), 2166 –2185 (1990). 0018-9197 CrossRef
43
Kennerley A. J. et al., “Concurrent fMRI and optical measures for the investigation of the hemodynamic response function,” Magn. Reson. Med.. 54, (2 ), 354 –365 (2005). 0740-3194 CrossRef
44
Bluestone A. Y. et al., “Three-dimensional optical tomographic brain imaging in small animals, Part 2: Unilateral carotid occlusion,” J. Biomed. Opt.. 9, (5 ), 1063 –1073 (2004). 1083-3668 CrossRef
45
Eggebrecht A. T. et al., “A quantitative spatial comparison of high-density diffuse optical tomography and fMRI cortical mapping,” Neuroimage. 61, (4 ), 1120 –1128 (2012). 1053-8119 CrossRef
46
Hielscher A. H., Klose A. D., Hanson K. M., “Gradient-based iterative image reconstruction scheme for time-resolved optical tomography,” IEEE Trans. Med. Imaging. 18, (3 ), 262 –271 (1999). 0278-0062 CrossRef
47
Mandeville J. B. et al., “Dynamic functional imaging of relative cerebral blood volume during rat forepaw stimulation,” Magn. Reson. Med.. 39, (4 ), 615 –624 (1998). 0740-3194 CrossRef
48
Troprès I. et al., “Vessel size imaging,” Magn. Reson. Med.. 45, (3 ), 397 –408 (2001). 0740-3194 CrossRef
49
Liao S. M. et al., “High-density diffuse optical tomography of term infant visual cortex in the nursery,” J. Biomed. Opt.. 17, (8 ), 081414 (2012). 1083-3668 CrossRef
50
Joseph D. K. et al., “Diffuse optical tomography system to image brain activation with improved spatial resolution and validation with functional magnetic resonance imaging,” Appl. Opt.. 45, (31 ), 8142 –8151 (2006). 0003-6935 CrossRef
51
Koch S. P. et al., “High-resolution optical functional mapping of the human somatosensory cortex,” Front. Neuroenerget.. 2, (5 ), 1 –8 (2010). 1662-6427 CrossRef
52
Zeff B. W. et al., “Retinotopic mapping of adult human visual cortex with high-density diffuse optical tomography,” Proc. Natl. Acad. Sci. U. S. A.. 104, (29 ), 12169 –12174 (2007). 0027-8424 CrossRef
53
White B. R., Culver J. P., “Quantitative evaluation of high-density diffuse optical tomography: in vivo resolution and mapping performance,” J. Biomed. Opt.. 15, (2 ), 026006 (2010). 1083-3668 CrossRef
54
Ferradal S. L. et al., “Atlas-based head modeling and spatial normalization for high-density diffuse optical tomography: in vivo validation against fMRI,” Neuroimage. 85, (Part 1 ), 117 –126 (2013). 1053-8119 CrossRef