Image reconstruction for positron emission tomography using fuzzy nonlinear anisotropic diffusion penalty

Medical and Biological Engineering and Computing

Volumn 44, Issue 11, 2006, Pages 983-997

  Zhu, Hongqing ^a,d   Shu, Huazhong ^a,c   Zhou, Jian ^a,c   Toumoulin, Christine ^b   Luo, Limin ^a,c  

^a SOUTHEAST UNIVERSITY   (China)

^b UNIVERSITÉ DE RENNES 1   (France)

^c Centre de Recherche en Information Biomedicale Sino Francais CRIBs   (France)

^d NONE   (China)

Author keywords

Fuzzy; Image reconstruction; Maximum likelihood expectation maximization (ML EM); Nonlinear anisotropic diffusion; Positron emission tomography (PET)

Indexed keywords

ALGORITHMS; FUZZY SETS; IMAGE RECONSTRUCTION; ITERATIVE METHODS;

ITERATIVE ALGORITHM; MAXIMUM LIKELIHOOD-EXPECTATION MAXIMIZATION; NONLINEAR ANISOTROPIC DIFFUSION; PENALTY FUNCTION;

POSITRON EMISSION TOMOGRAPHY;

ALGORITHM; ARTICLE; CONTROLLED STUDY; DIFFUSION COEFFICIENT; IMAGE RECONSTRUCTION; INTERMETHOD COMPARISON; MAXIMUM LIKELIHOOD METHOD; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; POSITRON EMISSION TOMOGRAPHY; QUANTITATIVE ANALYSIS; STATISTICAL MODEL;

EID: 33751217736     PISSN: 01400118     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11517-006-0115-4     Document Type: Article

References (37)

1. Ahn S, Fessler JA (2003) Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms. IEEE Trans Med Imaging 22:613-626
2. Aja S, Alberola C, Ruiz J (2001) Fuzzy anisotropic diffusion for speckle filtering. In: IEEE proceedings of international conference acoustics, speech, and signal processing (ICASSP), pp 1261-1264
3. Alenius S, Ruotsalainen U (2002) Generalization of median root prior reconstruction. IEEE Trans Med Imaging 21:1413-1420
4. Anderson JMM, Srinivasan R, Mair BA, Votaw JR (2005) Accelerated penalized weighted least-squares and maximum likelihood algorithms for reconstructing transmission images from PET transmission data. IEEE Trans Med Imaging 24:337-351
5. Black MJ, Sapiro G, Marimont DH, Heeger D (1998) Robust anisotropic diffusion. IEEE Trans Image Process 7:421-432
6. Browne JA, Pierro ARDe (1996) A row-action alternative to the EM algorithm for maximizing likelihoods in emission tomography. IEEE Trans Med Imaging 15:687-699
7. Byrne CL (1998) Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative methods. IEEE Trans Image Process 7:100-109
8. Chen RC, Yu PT (1999) Fuzzy selection filters for image restoration with neural learning. IEEE Trans Signal Process 47:1446-1450
9. Chlewicki W, Hermansin F, Hansen SB (2004) Noise reduction and convergence of Bayesian algorithms with blobs based on the Huber function and median root prior. Phys Med Biol 49:4717-4730
10. Demirkaya O (2002) Anisotropic diffusion filtering of PET attenuation data to improve emission images. Phys Med Biol 47:271-278
11. Demirkaya O (2004) Post-reconstruction filtering of positron emission tomography whole-body emission images and attenuation maps using nonlinear diffusion filtering. Acad Radiol 11:1105-1114
12. Denisova NV (2004) Bayesian reconstruction in SPECT with entropy prior and iterative statistical regularization. IEEE Trans Nucl Sci 51:137-141
13. Fessler JA (1994) Penalized weighted least-squares image reconstruction for positron emission tomography. IEEE Trans Med Imaging 13:290-300
14. Fessler JA (1997) Grouped coordinate descent algorithms for robust edge-preserving image restoration. In: Proceedings of the SPIE 97, Im Recon Restor II, vol 3170, pp 184-194
15. Fessler JA, Hero AO (1994) Space-alternating generalized expectation-maximization algorithm. IEEE Trans Signal Process 42:2664-2677
16. Fessler JA, Ficaro EP, Clinthorne NH, Lange K (1997) Grouped-coordinate ascent algorithms for penalized-likelihood transmission image reconstruction. IEEE Trans Med Imaging 16:166-175
17. Geman S, Geman D (1984) Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of Images. IEEE Trans Pattern Anal Mach Intell 6:721-741
18. Green PJ (1990) Bayesian reconstruction from emission tomography data using a modified EM algorithm. IEEE Trans Med Imaging 9:84-93
19. Hsiao IT, Rangarajan A, Gindi G (2002) A provably convergent OS-EM like reconstruction algorithm for emission tomography. In: Proceedings of the SPIE 4684, medical imaging 2002: Image proceedings, pp 10-19
20. http://www.eecs.umich.edu/~fessler/code/
21. Hudson HM, Larkin RS (1994) Accelerated image reconstruction using ordered subsets of projection data. IEEE Trans Med Imaging 13:601-609
22. Jin JS, Wang Y, Hiller J (2000) An adaptive nonlinear diffusion algorithm for filtering medical images. IEEE Trans Inform Technol Biomed 4:298-305
23. Kadrmas DJ (2001) Statistically regulated and adaptive EM reconstruction for emission computed tomography. IEEE Trans Nucl Sci 48:790-798
24. Kobashi S, Fujiki Y, Matsui M, Inoue N, Kondo K, Hata Y, Sawada T (2006) Interactive segmentation of the cerebral lobes with fuzzy inference in 3T MR image. IEEE Trans Syst Man Cybern B 37:74-86
25. Mondal PP, Rajan K (2004) Image reconstruction by conditional entropy maximization for PET system. IEE Proc Vis Image Signal Process 151:352-355
26. Mondal PP, Rajan K (2005) Fuzzy-rule-based image reconstruction for positron emission tomography. J Opt Soc Am A 22:1763-1771
27. Panin VY, Zeng GL, Gullberg GT (1999) Total variation regulated EM algorithm. IEEE Trans Nucl Sci 46:2202-2210
28. Perona P, Malik J (1990) Scale-space and edge detection using anisotropic diffusion. IEEE Trans Pattern Anal Mach Intell 12:629-639
29. Riddell C, Benali H, Buvat I (2004) Diffusion regularization for iterative reconstruction in emission tomography. IEEE Trans Nucl Sci 51:712-718
30. Russo F (2002) An image enhancement techniques combining sharpening and noise reduction. IEEE Trans Instrum Meas 51:824-828
31. Shepp LA, Vardi Y (1982) Maximum likelihood reconstruction for emission tomography. IEEE Trans Med Imag MI-1 2:113-122
32. Sohlberg A, Ruotsalainen U, Watabe H, Iida H, Kuikka JT (2003) Accelerated median root prior reconstruction for pinhole single-photon emission tomography (SPET). Phys Med Biol 48:1957-1969
33. Ville DVanDe, Nachtegael M, Weken DVD, Kerre EE, Philips W, Lemahieu I (2003) Noise reduction by fuzzy image filtering. IEEE Trans Fuzzy Syst 11:429-435
34. Wang L-X, Mendel JM (1992) Generating fuzzy rules by learning from examples. IEEE Trans Syst Man Cybern 22:1411-1427
35. Yuan B, Klir G (1997) Fuzzy sets and fuzzy logic. Prentice-Hall International, New Jersey
36. Zadeh LA (1965) Fuzzy sets. Inf Control 8:338-353
37. Zaidi H, Diaz-Gomez M, Boudraa AE, Slosman DO (2002) Fuzzy clustering-based segmented attenuation correction in whole-body PET imaging. Phys Med Biol 47:1143-1160