Estimating the joint statistics of images using nonparametric windows with application to registration using mutual information

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 30, Issue 10, 2008, Pages 1841-1857

  Dowson, Nicholas ^a   Kadir, Timor ^a   Bowden, Richard ^b  

^a SIEMENS AG   (Germany)

^b UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

Joint image statistics; Mutual information; Registration; Sampling

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; IMAGE ENHANCEMENT; IMAGE REGISTRATION; NUCLEAR PROPULSION; PARAMETER ESTIMATION; STATISTICAL METHODS;

2-D IMAGES; 2-D SIGNALS; AFFINE TRANSFORMATIONS; COMPARATIVE TESTING; GLOBAL MAXIMUM; GREEN'S THEOREM; GROUND TRUTH; JOINT DISTRIBUTIONS; JOINT IMAGE STATISTICS; JOINT STATISTICS; MUTUAL INFORMATION; NON-PARAMETRIC; REGISTRATION; SAMPLING; SUPERIOR PERFORMANCE;

WINDOWS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL ANALYSIS; THEORETICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, THEORETICAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SUBTRACTION TECHNIQUE;

EID: 50249128604     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.70832     Document Type: Article

References (30)

1. P. Viola and W. Wells, "Alignment by Maximization of Mutual Information," Proc. Fifth Int'l Conf. Computer Vision, pp. 16-23, June 1995.
2. A. Collignon, F. Maes, D. Delaere, D. Vandermeulen, P. Suetens, and G. Marchal, "Automated Multimodality Image Registration Based on Information Theory," Information Processing in Medical Imaging, pp. 263-374, Kluwer Academic, 1995.
3. C. Studholme, D. Hill, and D. Hawkes, "Automated 3D Registration of Truncated MR and CT Images of the Head," Proc. British Machine Vision Conf., pp. 27-36, Sept. 1995.
4. P. Viola and W. Wells, "Alignment by Maximization of Mutual Information," Int'l J. Computer Vision, vol. 24, no. 2, pp. 137-154, 1997.
5. F. Maes, D. Vandermeulen, and P. Seutens, "Comparative Evaluation of Multiresolution Optimization Strategies for Multimodality Image Registration by Maximization of Mutual Information," Medical Image Analysis, vol. 3, no. 4, pp. 272-286, Apr. 1999.
6. F. Maes, D. Vandermeulen, and P. Suetens, "Medical Image Registration Using Mutual Information," Proc. IEEE, vol. 91, no. 10, pp. 1699-1722, 2003.
7. E. Loutas, N. Nikolaidis, and I. Pitas, "A Mutual Information Approach to Articulated Object Tracking," Proc. IEEE Int'l Symp. Circuits and Systems, vol. 2, pp. 672-675, May 2003.
8. R. Moddemeijer, "On Estimation of Entropy and Mutual Information of Continuous Distributions," Signal Processing, vol. 16, pp. 233-248, 1989.
9. E. Parzen, "On Estimation of a Probability Density Function and Mode," Annals of Math. Statistics, vol. 33, no. 3, pp. 1065-1076, Sept. 1962.
10. P. Thevenaz and M. Unser, "Optimization of Mutual Information for Multi-Resolution Image Registration," IEEE Trans. Image Processing vol. 9, no. 12, pp. 2083-2099, Dec. 2000.
11. F. Maes, A. Collignon, D. Vandermeulen, G. Marchal, and P. Suetens, "Multimodality Image Registration by Maximization of Mutual Information," IEEE Trans. Medical Imaging, vol. 16, no. 2, pp. 187-198, Apr. 1997.
12. H. Chen and P. Varshney, "Mutual Information-Based CT-MR Brain Image Registration Using Generalised Partial Volume Joint Histogram Estimation," IEEE Trans. Medical Imaging, vol. 22, no. 9, pp. 1111-1119, Sept. 2003.
13. E. D'Agostino, F. Maes, D. Vandermeulen, and P. Suetens, "An Information Theoretic Approach for Non-Rigid Image Registration Using Voxel Class Probabilities," Medical Image Analysis, vol. 10, pp. 413-430, 2006.
14. J. Pluim, J. Maintz, and M. Viergever, "Interpolation Artefacts in Mutual Information-Based Image Registration," Computer Vision and Image Understanding, vol. 77, pp. 211-232, 2000.
15. T. Kadir and M. Brady, "Estimating Statistics in Arbitrary Regions of Interest," Proc. 16th British Machine Vision Conf., vol. 2, pp. 589-598, Sept. 2005.
16. T. Kadir and M. Brady, "Nonparametric Estimation of Probability Distributions from Sampled Signals," technical report, Robotics Research Laboratory, July 2005.
17. I. Matthews, T. Ishikawa, and S. Baker, "The Template Update Problem," Proc. 14th British Machine Vision Conf., Sept. 2003.
18. T. Kaneko and O. Hori, "Template Update Criterion for Template Matching of Image Sequences," Proc. 16th Int'l Conf. Pattern Recognition, vol. 2, pp. 1-5, Aug. 2002.
19. A. Rajwade, A. Banerjee, and A. Rangarajan, "A New Method of Probability Density Estimation with Application to Mutual Information Based Image Registration," Proc. IEEE Int'l Conf. Computer Vision and Pattern Recognition, June 2006.
20. T. Cover and J. Thomas, Elements of Information Theory. Wiley & Sons, 1991.
21. C. Shannon, "A Mathematical Theory of Communication," The Bell System Technical J., vol. 27, pp. 379-423, July-Oct. 1948.
22. A. Papoulis and S.U. Pillai, Probability, Random Variables, and Stochastic Processes, third ed., pp. 124-148. McGraw-Hill, 1991.
23. J.C. Morrison, "Fast Anti-Aliasing Polygon Scan Conversion," Graphics Gems, A.S. Glassner, ed., pp. 63-83, Morgan Kaufmann, June 1990.
24. P.S. Heckbert, "Generic Convex Polygon Scan Conversion and Clipping," Graphics Gems, A.S. Glassner, ed., pp. 84-86, Morgan Kaufmann, June 1990.
25. C.A. Shaffer and C.D. Feustel, "Exact Computation of 2D Intersections," Graphics Gems III, D. Kirk, ed., pp. 188-192, Morgan Kaufmann, June 1994.
26. E.W. Weisstein, "Polygon: Area," http://mathworld.wolfram.com/ PolygonArea.html, Aug. 2007.
27. CRC Standard Mathematical Tables, 28th ed., W.H. Beyer, ed., pp. 123-124.CRC Press, 1987.
28. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C, second ed. Cambridge Univ. Press, 1992.
29. R.-S. Kwan, A. Evans, and G. Pike, "MRI Simulation-Based Evaluation of Image Processing and Classification Methods," IEEE Trans. Medical Imaging, vol. 18, no. 11, pp. 1085-1097, Nov. 1999.
30. S. Baker and I. Matthews, "Lucas-Kanade 20 Years On: A Unifying Framework Part 1," Technical Report CMU-RI-TR-02-16, Robotics Inst., Carnegie Mellon Univ., July 2002.