title: Optical tomography with discretized path integral.
abstract: We present a framework for optical tomography based on a path integral. Instead of directly solving the radiative transport equations, which have been widely used in optical tomography, we use a path integral that has been developed for rendering participating media based on the volume rendering equation in computer graphics. For a discretized two-dimensional layered grid, we develop an algorithm to estimate the extinction coefficients of each voxel with an interior point method. Numerical simulation results are shown to demonstrate that the proposed method works well.
authors.affiliation: Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
authors.forename: Bingzhi
authors.initials: B
authors.lastname: Yuan
authors.affiliation: Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
authors.forename: Toru
authors.initials: T
authors.lastname: Tamaki
authors.affiliation: Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
authors.forename: Takahiro
authors.initials: T
authors.lastname: Kushida
authors.affiliation: Graduate School of Information Science , NAIST, 8916-5, Takayama, Ikoma, Nara 630-0192, Japan.
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Mukaigawa
authors.affiliation: Graduate School of Information Science , NAIST, 8916-5, Takayama, Ikoma, Nara 630-0192, Japan.
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Kubo
authors.affiliation: Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
authors.forename: Bisser
authors.initials: B
authors.lastname: Raytchev
authors.affiliation: Hiroshima University , Department of Information Science, Graduate School of Engineering, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan.
authors.forename: Kazufumi
authors.initials: K
authors.lastname: Kaneda
keywords: interior point method; light transport; multiple scattering; optical tomography; path integral; volume rendering equation
references.citation: Phys Med Biol. 2005 Feb 21;50(4):R1-43
references.pmid: 15773619
references.citation: Phys Med Biol. 1997 May;42(5):825-40
references.pmid: 9172262
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jan;81(1 Pt 2):016602
references.pmid: 20365486
references.citation: Appl Opt. 1992 Jun 1;31(16):3152-60
references.pmid: 20725260
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 1):031908
references.pmid: 14524804
references.citation: Opt Lett. 2006 Apr 1;31(7):936-8
references.pmid: 16599217
references.citation: Philos Trans R Soc Lond B Biol Sci. 1997 Jun 29;352(1354):717-26
references.pmid: 9232860
references.citation: Ann N Y Acad Sci. 1998 Feb 9;838:1-13
references.pmid: 9511791
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Mar;79(3 Pt 2):036607
references.pmid: 19392073
references.citation: Lasers Surg Med. 1989;9(2):148-54
references.pmid: 2716459
references.citation: Phys Med Biol. 1997 May;42(5):841-53
references.pmid: 9172263
references.citation: Phys Rev A Gen Phys. 1987 Jan 15;35(2):872-878
references.pmid: 9898214