Estimating view parameters from random projections for Tomography using spherical MDS

BMC Medical Imaging

Volumn 10, Issue , 2010, Pages

  Fang, Yi ^a   Murugappan, Sundar ^a   Ramani, Karthik ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER ASSISTED TOMOGRAPHY; IMAGE QUALITY; INSTRUMENTATION; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; IMAGING, THREE-DIMENSIONAL; PATTERN RECOGNITION, AUTOMATED; PHANTOMS, IMAGING; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOGRAPHIC IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; TOMOGRAPHY, X-RAY COMPUTED;

EID: 77953649163     PISSN: None     EISSN: 14712342     Source Type: Journal    
DOI: 10.1186/1471-2342-10-12     Document Type: Article

References (28)

1. Hiriyannaiah H. X-ray computed tomography for medical imaging. Signal Processing Magazine, IEEE 1997, 14(2):42-59.
2. Smith BD. Cone-beam tomography: recent advances and a tutorial review. Optical Engineering 1990, 29.
3. Basu S, Bresler Y. Feasibility of Tomography with Unknown View Angles. IEEE Transactions on Image Processing 2000, 9:1107-1122. 10.1109/83.846252, 18255480.
4. Lewitt RM, Matej S. Overview of Methods for Image Reconstruction From Projections in Emission Computed Tomography. Proceedings Of The IEEE 91:1588-1611.
5. Yagle AE. A simple non-iterative algorithm for 2-D tomography with unknown view angles. Appeared as a preprint copy , http://www.eecs.umich.edu/~aey/recent/angle.pdf
6. Coifman RR, Shkolnisky Y, Sigworth FJ, Singer A. Graph Laplacian Tomography From Unknown Random Projections. IEEE Transactions on Image Processing 2008, 17:1891-1899. 10.1109/TIP.2008.2002305, 18784036.
7. Borg I, Groene P. Introduction to 3D reconstruction of macromolecules using single particle electron microscopy. Acta Pharmacologica Sinica 2005, 26:1153-1164. 10.1111/j.1745-7254.2005.00203.x, 16174429.
8. Basu S, Bresler Y. Uniqueness of Tomography with Unknown View Angles. IEEE Transactions on Image Processing 2000, 9:1094-1106. 10.1109/83.846251, 18255479.
9. Zeng R, Fessler JA, Balter JM, Balter PA. Iterative sorting for four-dimensional CT images based on internal anatomy motion. Medical Physics 2008, 35:917-926. 10.1118/1.2837286, 2851165, 18404928.
10. Zeng R, Fessler J, Balter J. Estimating 3-D respiratory motion from orbiting views by tomographic image registration. IEEE Transcations on Medical Imaging 2007, 26:153-163.
11. Lauren PD, Nandhakumar N. Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction. IEEE Transactions on Pattern Analysis and Machine Intelligence 1997, 19:417-430.
12. Radermacher M. Three Dimensional Reconstruction From Random Projections: Oriented Alignment Via Radon Transforms. Ultramicroscopy 1994, 53:121-136. 10.1016/0304-3991(94)90003-5, 8171751.
13. Georg M, Souvenir R, Hope A, Pless R. Manifold learning for 4D CT reconstruction of the lung. Computer Vision and Pattern Recognition Workshops, CVPRW '08 2008, 1-8.
14. Heel MV. Angular Reconstitution: A Posteriori Assignment of Projection Directions For 3D Reconstruction. Ultramicroscopy 1987, 21:111-123. 10.1016/0304-3991(87)90078-7, 12425301.
15. Vainshtein B, Goncharov A. Determination of the Spatial Orientation of Arbitrarily Arranged Identical Particles of an Unknown Structure From Their Projections. Dokl Akad Nauk SSSR 1986, 287:1131-1134.
16. Mallick S, Agarwal S, Kriegman D, Belongie S, Carragher B, Potter C. Structure and View Estimation for Tomographic Reconstruction: A Bayesian Approach. Computer Vision and Pattern Recognition, 2006 IEEE Computer Society Conference on 2006, 2:2253-2260.
17. Yu Y, Trouve A, Wang J, Chalmond B. An integrated statistical approach for volume reconstruction from unregistered sequential slices. Inverse Problems 2008, 24(4). 10.1088/0266-5611/24/4/045004, 2776041, 19911080.
18. Salzman D. A method of general moments for orienting 2D projections of unknown 3D objects. Computer Vision, Graphics, and Image Processing 1990, 50:129-156.
19. Coifman RR, Shkolnisky Y, Sigworth FJ, Singer A. Cryo-EM Structure Determination through Eigenvectors of Sparse Matrices. Technical Report 1389, Yale University, Department of Computer Science 2007,
20. Borg I, Groene P. Modern Multidimensional Scaling: Theory and Application. 1997, Springer-Verlag.
21. Tenenbaum JB, de Silva V, Langford JC. A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science 2000, 290:2319-2322. 10.1126/science.290.5500.2319, 11125149.
22. Roweis S, Saul L. Nonlinear dimensionality reduction by locally linear embedding. Science 2000, 290:2323-2326. 10.1126/science.290.5500.2323, 11125150.
23. Pless R, Simon I. Embedding images in non-flat spaces. Proc. of the International Conference on Imaging Science, Systems, and Technology 2001,
24. Dijkstra EW. A note on two problems in connexion with graphs. In Numerische Mathematik 1959, 1:269-271.
25. Osada R, Funkhouser T, Chazelle B, Dokin D. Shape distributions. ACM Transactions on Grphics 2002, 33:133-154.
26. Zabrodsky H, Peleg S, Avnir D. Symmetry as a continuous feature. IEEE Transactions on Pattern Analysis and Machine Intelligence 1995, 17:1154-1166.
27. Keller Y, Shkolnisky Y. A signal processing approach to symmetry detection. IEEE Transactions on Image Processing 2006, 15:2198-2207. 10.1109/TIP.2006.875227, 16900676.
28. Mitra NJ, Guibas L, Pauly M. Partial and Approximate Symmetry Detection for 3D Geometry. 2006, 25(3):560-568.