An accelerated photo-magnetic imaging reconstruction algorithm based on an analytical forward solution and a fast Jacobian assembly method.
We previously introduced photo-magnetic imaging (PMI), an imaging technique that illuminates the medium under investigation with near-infrared light and measures the induced temperature increase using magnetic resonance thermometry (MRT). Using a multiphysics solver combining photon migration and heat diffusion, PMI models the spatiotemporal distribution of temperature variation and recovers high resolution optical absorption images using these temperature maps. In this paper, we present a new fast non-iterative reconstruction algorithm for PMI. This new algorithm uses analytic methods during the resolution of the forward problem and the assembly of the sensitivity matrix. We validate our new analytic-based algorithm with the first generation finite element method (FEM) based reconstruction algorithm previously developed by our team. The validation is performed using, first synthetic data and afterwards, real MRT measured temperature maps. Our new method accelerates the reconstruction process 30-fold when compared to a single iteration of the FEM-based algorithm.
Department of Radiological Sciences, Tu and Yuen Center for Functional Onco-Imaging, University of California, Irvine, CA, USA.
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J Magn Reson Imaging. 2008 Feb;27(2):376-90
18219673
Phys Med. 2010 Oct;26(4):192-201
20096617
Phys Med Biol. 1992 Jul;37(7):1531-60
1631197
Phys Med Biol. 2007 Aug 7;52(15):4371-81
17634638
Med Phys. 2007 Jun;34(6):2085-98
17654912
Opt Express. 2006 Dec 11;14(25):12271-87
19529655
Biomed Eng Online. 2004 May 04;3(1):12
15125780
Opt Express. 2010 Apr 26;18(9):9456-73
20588792
Rev Sci Instrum. 2012 Jun;83(6):063703
22755630
Phys Med Biol. 1997 May;42(5):841-53
9172263
Appl Opt. 1997 Jul 1;36(19):4587-99
18259254
Philos Trans A Math Phys Eng Sci. 2009 Aug 13;367(1900):3055-72
19581255
J Biomed Opt. 2006 Sep-Oct;11(5):054008
17092157
Physiol Meas. 2008 Oct;29(10):R1-26
18799834
Proc Natl Acad Sci U S A. 1994 May 24;91(11):4887-91
8197151
J Biomed Opt. 2016 Jan;21(1):16009
26790644
Comput Biol Med. 2004 Sep;34(6):495-521
15265721
Phys Med Biol. 1994 Jul;39(7):1157-80
15552104
J Biomed Opt. 2011 Oct;16(10):106015
22029362
Appl Phys Lett. 2012 Aug 20;101(8):83703
22991481
Med Phys. 1995 Nov;22(11 Pt 1):1779-92
8587533
Opt Lett. 1998 Jun 1;23(11):882-4
18087373
Phys Med Biol. 2006 Feb 7;51(3):497-516
16424578
Opt Express. 2011 Jun 20;19(13):12843-54
21716527
Phys Med Biol. 2015 Jul 7;60(13):5103-21
26083326
Clin Cancer Res. 2014 Dec 1;20(23):6006-15
25294916
Neuroimage Clin. 2014 Jul 06;5:256-65
25161892
Phys Med Biol. 1997 May;42(5):825-40
9172262
J Opt Soc Am A Opt Image Sci Vis. 1997 Jan;14(1):246-54
8988618
J Biomed Opt. 2010 Mar-Apr;15(2):025002
20459243
Phys Med Biol. 2011 Jan 7;56(1):187-202
21149948
Phys Med Biol. 2007 May 21;52(10):2827-43
17473354
Phys Med Biol. 2013 Jun 7;58(11):3551-62
23640084
Med Phys. 2008 Jun;35(6):2443-51
18649477
Phys Med Biol. 2005 Feb 21;50(4):R1-43
15773619
Appl Opt. 1998 Apr 1;37(10):1935-44
18273113
Nat Photonics. 2014 Jun;8(6):448-454
25083161
J Opt Soc Am A Opt Image Sci Vis. 2005 Sep;22(9):1883-8
16211815
Opt Express. 2015 Nov 30;23(24):31069-84
26698736
Appl Opt. 1995 Nov 1;34(31):7395-409
21060614
J Appl Physiol (1985). 1998 Jul;85(1):35-41
9655751
Conf Proc IEEE Eng Med Biol Soc. 2014;2014:2833-6
25570581
Magn Reson Imaging. 2002 Jan;20(1):65-76
11973031
Philos Trans A Math Phys Eng Sci. 2009 Aug 13;367(1900):3073-93
19581256