Frequency-based nonrigid motion analysis: application to four dimensional medical images

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 18, Issue 11, 1996, Pages 1067-1079

  Nastar, Chahab ^a   Ayache, Nicholas ^a  

^a 1NRIA ^*  (France)

Author keywords

Automatic diagnosis; Cardiac imagery; Compression; Deformable models; Dynamic data; Four dimensional images; Fourier analysis; Medical image analysis; Modal analysis; Nonrigid motion

Indexed keywords

CARDIOVASCULAR SYSTEM; DATA COMPRESSION; DATA REDUCTION; FOURIER OPTICS; MEDICAL IMAGING; MODAL ANALYSIS; OBJECT RECOGNITION;

DEFORMABLE MODEL; FOUR DIMENSIONAL MEDICAL IMAGING; FREQUENCY BASED NONRIGID MOTION ANALYSIS;

IMAGE ANALYSIS;

EID: 0030288155     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.544076     Document Type: Article

References (49)

1. A.A. Amini, R. Curwen, R.T. Constable, and J.C. Gore, "MR Physics-Based Snake Tracking and Dense Deformations from Tagged Cardiac Images," AAA1 1994 Spring Syrnp. Series. Application of Computer Vision in Medical image Processing, Stanford Univ., March 1994.
2. A.A. Amini and J.S. Duncan, "Bending and Stretching Models for LV Wall Motion Analysis Form Curves and Surfaces," Image und Vision Computing, vol. 10, no. 6, pp. 418-430,1992.
3. N.W. Ashcroft and M.D. Mermin, Solid State Physics. Saunders College Publishing Int'l Ed., 1976.
4. N. Ayache, Artificial Vision for Mobile Robots-Stereo-Vision and Multibensory Perception. MIT Press, 1991.
5. N. Ayache, "Medical Computer Vision, Virtual Reality and Robotics-Promising Research," Image and Vision Computing, vol. 13, no. 4, pp. 295 313, May 1995.
6. N. Ayache, I. Cohen, and I. Herlin, "Medical Image Tracking," Active Vision, chapter 17. MIT Press, Dee. 1992.
7. E. Rardinet, L.D. Cohen, and N. Ayache, "Superquadrics and Free-Form Deformations: A Global Model to Fit and Irack 3D Vledical Data," first Conf. Computer Vision, Virtual Reality and Robotics in Mediane (CVRMed '95), N. Ayache, ed., vol. 905, Nice, France, Apr. 199?. Springer Verlag.
8. (8] K.J. Bathe, Finite Element Procedures in Engineering Analysis. Prentice-Hall, 1982.
9. S. Benayoun, N. Ayache, and 1. Cohen, "Adaptive Meshes and Nonrigid Motion Computation/' Int'l Conf. Pattern Recognition, Jerusalem, Israel, March 1994.
10. S. Benayoun, C. Nastar, and N. Ayache, "Dense Non-Rigid Motion Estimation in Sequences of 3D Images Using Differential
11. Constraints," First Conf. Computer Vision, Virtual Reality and Robotics in Medicine (CVRMed '95), N. Ayache, ed., vol. 905, Nice, France, Apr. 1995. Springer Verlag.
12. A. Blake, R. Curwen, and A. Zisserman, "Affine-Invariant Contour Tracking with Automatic Control of Spatiotempora] Scale," IEEE Proc. fourth Int'l Conf. Computer Vision, pp. 66-75, Berlin, Germany, Vlay 1993.
13. L. Bookstein,'"Principal Warps: Thin-Plate Splines and the Decomposition of Deformations," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 11, no. 6, pp. 567-585, June 1989.
14. C.W. Chen, T.S. Huang, and M. Arrott, "Modeling, Analysis, and Visualization of LV Shape and Motion by Hierarchical Decomposition, IEEE Trans Pattern Analysis and Machine Intelligence, vol. 16, no. 7, Apr. 1994.
15. I. Cohen, L.D. Cohen, and N. Ayache., "Using Dcformable Surfaces to Segment 3D Images and Infer Differential Structures," Computer Vision, Graphics, und Image Processing, vol. 26, no. 2, pp. 242-263,1992.
16. T.F. Cootes, C.J. Taylor, D.H. Cooper, and J. Graham, "Active Shape Models-Their Training and Application," Computer Vision and Image Understanding, vol. 61, no. 1, pp. 38-59, Jan. 1995.
17. T.F Cootes, A. Hill, C.J Taylor, and J. Haslam, "The Use of Active Shape Models for Locating Structures in Medical Images," Proc. I3tk Int'l Ccnf, Information Processing in Medical Imaging, Flagstaff, Ariz., June 1993.
18. T.F. Cootes and C.J. Taylor, "Combining Point Distribution Models with Shape Models Based on Finite Element Analysis," Image and Vision Computing, vol. 13, no. 5, 1995.
19. L.L. Creswell, S.C. Wyers, J.S. Piroto, W.H. Perman, M.W. Vannier, and M.K. Pasque, "Mathematical Modeling of the Heart Using Magnetic Resonance Imaging," IEEE Trans, Medical Imaging, vol. 11, no. 4, pp. 581-589,1992.
20. P.E. Danielsson, "Euclidean Distance Mapping," Computer Vision, Graphics, and Image Processing, vol. 14, pp. 227-248,1980.
21. 11. Delingette, M. I lebert, and K. Ikeuchi, "Shape Representation and Image Segmentation Using Deformable Surfaces," IEEE Proc. Computer Vision and Pattern Recognition, pp. 467-472, Lahaina, Maui, Hawaii, June 1991.
22. R.O. Duda and P.E. Hart, Pattern Classification and Scene Analysis. John Wiley and Sons, 1973.
23. A. Guéziec, "Large Deformable Splines: Crest Lines and Matching," Proc, fourth Int'l Conf. Computer Vision, Berlin, May 1993.
24. W.-C. Huang and D.B. Goldgof, "Adaptive-Size Physically Based Models for Nonrigid Motion Analysis," Proc. Computer Vision and Patiern Recognition. IEEE Computer Society Conf., pp. 833-835, Champaign, 111., June 1992.
25. M. Kass, A. Witkin, and D. Terzopoulos, "Snakes: Active Contour Models," Int'l J. Computer Vision, vol. 1, pp. 321-331,1987.
26. F. Leilner, I. Marque, S. Lavallée, and P. Cinquin, "Dynamic Segmentation: Finding the Edge with Snake-Splines," Proc. Int'l Conf. Curves and Surfaces, pp. 1-4, Chamonix, France, June 1990. Academic Press.
27. T. Mclnerney and D. Terzopoulos, "A Dynamic Einite Element Surface Model for Segmentation and Tracking in Multidimensional Images with Application to Cardiac 4D Image Analysis," J. Computerized Medical Imaging and Graphics, vol. 19, no. 1, pp. 6983,1995.
28. D. Metaxas and D. Terzopoulos, "Shape and Non-Rigid Motion Estimation Through Physics-Based Synthesis," IEEE Trans, Pattern Analysis and Machine Intelligence, vol. 15, no. 6, pp. 580-591,1993.
29. O. Monga and R. Deriche, "3D Edge Detection Using Recursive Filtering," Proc. Computer Vision and Patiern Récognition, San Diego, June 1989.
30. O. Monga, R. Deriche, G. Malandain, and ]-P. Cocquerez, "Recursive Filtering and Edge Closing: Two Primary Tools for 3D Edge Detection," Proc. First European Conf. Computer Vision (ECCV), Antibes, France, Apr. 1990.
31. C. Nastar, "Vibration Modes for Nonrigid Motion Analysis in 3D Images," Proc. Third European Conf. Computer Vision (ECCV '94), Stockholm, May 1994.
32. C. Nastar and N. Ayache, "Fast Segmentation, Tracking, and Analysis or Deformable Objects," Proc. Fourth Int'l Conf. Computer Vision (ICCV '93), Berlin, May 1993.
33. C. Nastar and N. Ayache, "Non-Rigid Motion Analysis in Medical Images: A Physically Based Approach," Proc. 13lh Int'l Conf. Information Processing in Medical Imaging (IPMI '93), Flagstaff, Ariz., June 1993.
34. C Nastar and N Ayache, "Classification of Nonrigid Motion in 3D Images Using Physics-Based Vibration Analysis," Proc. IEEE Workshop Biomédical Image Analysis, Seattle, June 1994.
35. C. Naslar arid N. Ayache, "Time Représentation of Deforma lions: Combining Vibration Modes and Fourier Analysis," Lecture. Note in Computer Science 994: Object Representation in Computer Vision. Springer-Verlag, 1995.
36. J. Park, D. Metaxas, and L. Axel, "Volumetric Deformable Models with Parametric Functions: A New Approach to the 3D Motion Analysis of the LV from MRI-SPAMM," Proc. Fifth Int'l CoJ. Computer Vision (ICCV '95), Boston, June 1995.
37. [361 A. Pentland and B. I lorowitz, "Recovery of Non-Rigid Motion and Structure," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 13, no. 7, pp. 730-742, July 1991.
38. A. Pentland and S. Sclaroff, "Closed-Form Solutions for Physically-Based Shape Modeling and Recognition/' IEEE Trans. Patlern Analysis and Machine Intelligence, vol. 13, no. 7, pp. 715-729, July 1991.
39. A. Pentland and J. Williams, "Good Vibrations: Modal Dynamics tor Graphics and Animation," Computer Graphics, 1989.
40. P. Shi, C. Robinson, A. Chakraborty, L. Staib, R. Constable, A. Sinuasa, and J. Duncan, "A Unified Framework to Assess Myocardial Function from 4D Images," Proc. First Conf Computer Vision, Virtual Reality, and Robotics in Medicine (CVRMed '95), N. Ayache, ed., vol. 905, Nice, France, Apr. 1995. Springer Verlag.
41. P. Shi, A. Amini, G. Robinson, A. Sinusas, C.T. Constable, and J. Duncan, "Shape-Rased 4D Left Ventricular Myocardial Function Analysis, Proc /t'fc't Workshop on Biomédical Image Analysis, Seattle, Wash., June 1994.
42. R. Szeliski and S. Lavallée, "Matching 3D Anatomical Surfaces with Non-Rigid Volumetric Deformations," Proc. AAAI 1994 Spring Symp. .Sfi-fes. Application of Computer Vision in Medical Image Processing, Stanford Univ., March 1994.
43. D. Terzopoulos and K. Fleischer, "Detormable Models," The Visual Computer, vol. 4, pp. 306-331,1988.
44. D. Terzopoulos and K. Waters, Physically Based Facial Modeling, Analysis, and Animation," J. Visualization and Computer Animation, voll, pp. 73-80,199U.
45. D. Terzopoulos and K. Waters, "Analysis and Synthesis of Facial Image Sequences Using Physical and Anatomical Models," /EEC Trans. Pattern Analysis and Machine Intelligence, vol. 15, no. 6, pp. 569-579, 1993.
46. D. Terzopoulos, A. Witkin, and M. Kass, "Constraints on Deformable Models: Recovering 3D Shape and Nonrigid Motion," AI J., vol. 36, pp. 91-123,1988.
47. M. Vasilescu and D. Ter7opoulos, "Adaptive Meshes and Shells," Froc. Computer Vision and Pattern Recognition, Proc. IEEE Computer Society Conf., June 1992, pp. 829-832, Champaign, 111.
48. Q.Z. Ye, "The Signed Euclidean Distance Transform and Its Applications," Int'l Conf. Pattern Recognition, pp. 495-499,1988.
49. A.L. Yuille, D.S. Cohen, and P.W. Hallinan, "Feature Fxtraction from Faces Using Deformable Templates," Proc. Computer Vision and Pattern Recognition, San Diego, June 1989.