Effect of discretization error and adaptive mesh generation in diffuse optical absorption imaging: II

Inverse Problems

Volumn 23, Issue 3, 2007, Pages 1135-1160

  Guven, Murat ^a   Yazici, Birsen ^a   Kwon, Kiwoon ^a   Giladi, Eldar ^a   Intes, Xavier ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; IMAGE RECONSTRUCTION; LIGHT ABSORPTION; OPTICAL IMAGE STORAGE;

COMPOSITE MESHES; OPTICAL ABSORPTION IMAGING;

INVERSE PROBLEMS;

EID: 34249720517     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/3/018     Document Type: Article

References (17)

1. Abramowitz M and Stegun I A 1968 Handbook of Mathematical Functions (New York: Dover)
2. Arridge S R 1999 Optical tomography in medical imaging Inverse Problems 15 R41-93
3. Arridge S R, Kaipio J P, Kolehmainen V, Schweiger M, Somersalo E, Tarvainen T and Vauhkonen M 2006 Approximation errors and model reduction with an application in optical diffusion tomography Inverse Problems 22 175-95
4. Brankov J G, Yang Y and Wernick M N 2004 Tomographic image reconstruction based on a content-adaptive mesh model IEEE Trans. Med. Imaging 23 202-12
5. Brenner S C and Scott L R 2002 The Mathematical Theory of Finite Element Methods (Berlin: Springer)
6. Eppstein M J, Dougherty D E, Hawrysz D J and Sevick-Muraca E M 2001 Three-dimensional Bayesian optical image reconstruction with domain decomposition IEEE Trans. Med. Imaging 20 147-63
7. Gu X, Xu Y and Jiang H 2003 Mesh-based enhancement schemes in diffuse optical tomography Med. Phys. 30 861-9
8. Guven M, Yazici B, Intes X and Chance B 2003 An adaptive multigrid algorithm for region of interest diffuse optical tomography Int. Conf. in Image Processing Proc. of IEEE 2 823-6
9. Guven M, Yazici B, Kwon K, Giladi E and Intes X 2007 Effect of discretization error and adaptive mesh generation in diffuse optical absorption imaging: I Inverse Problems 23 1115-33
10. Huang M and Zhu Q 2004 Dual-mesh optical tomography reconstruction method with a depth correction that uses a priori ultrasound information Appl. Opt. 43 1654-62
11. Jackson J D 1962 Classical Electrodynamics (New York: Wiley)
12. Joshi A, Bangerth W and Sevick-Muraca E M 2004 Adaptive finite element based tomography for fluorescence optical imaging in tissue Opt. Exp. 12 5402-17
13. Kress R 1999 Linear integral equations Applied Mathematical Sciences vol 82 2nd edn (Berlin: Springer)
14. Molinari M, Cox S J, Blott B H and Daniell G J 2001 Adaptive mesh refinement techniques for electrical impedance tomography Physiol. Meas. 22 91-6
15. Rivara M C 1984 Mesh refinement processes based on the generalized bisection of simplices SIAM J. Numer. Anal. 21 604-13
16. Torregrossa M, Zint C V and Poulet P 2002 Image reconstruction in optical tomography: mesh influence 4th Int. Workshop: Computational Problems of Electrical Engineering pp 183-6
17. Walker S, Boas D A and Gratton E 1998 Photon density waves scattered from cylindrical inhomogeneities: theory and experiments Appl. Opt. 37 1935-44