Wavelet transform for 3-D reconstruction from series sectional medical images

Mathematical and Computer Modelling

Volumn 30, Issue 1-2, 1999, Pages 1-13

  Lee, Jiann Der ^a  

^a CHANG GUNG UNIVERSITY   (Taiwan)

Author keywords

3 D reconstruction; Sectional images; Wavelet transform

Indexed keywords

EID: 0033166181     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00112-0     Document Type: Article

References (24)

1. R.A. Robb, Editor, Three-dimensional Biomedical Imageing, Volumes I and II, CRC Press, Boca Raton, FL, (1985).
2. S.M. Goldwasser, R.A. Reynolds, D.A. Talton and E.S. Walsh, Techniques for the rapid display and manipulation of 3-D biomedical data, Comp. Med. Imag. and Graphics 12 (1), 1-24, (1988).
3. R.G. Keys, Cubic convolution interpolation for digital image processing, IEEE Trans. Acoust., Speech, Signal Processing 29, 1153-1160, (1981).
4. E. Maeland, On the comparison of interpolation methods, IEEE Trans. Med. Imaging 7, 213-217, (1988).
5. R.C. Gonzalez and R.E. Woods, Digital Image Processing, Addison-Wesley, Reading, MA, (1992).
6. R.W. Parroff, M.R. Stytz, P. Amburn and D. Robinson, Towards statistically optiomal interpolation for 3-D medical image, IEEE Engineering in Medicine and Biology, 49-59, (1993).
7. F. Troehu, A contouring program based on dual Kriging interpolation, Engeering with Computers 9, 160-177, (1993).
8. H.N. Christiansen and T.W. Sederberg, Conversion of complex contour line definitions into polygonal element mosaics, Comput. Graphics 12, 187-192, (1978).
9. W.C. Lin, C.C. Liang and C.T. Chen, Dynamic elastic interpolation for 3-D medical image reconstruction from serial cross-sections, IEEE Trans. Med. Imaging 7, 225-232, (1988).
10. W.C. Lin, S.Y. Chen and C.T. Chen, A new surface interpolation technique for reconstructing 3D objects from serial cross-sections, Comput. Vision, Graphics, Image Processing 48, 124-143, (1989).
11. S.Y. Chen, W.C. Lin, C.C. Liang and C.T. Chen, Improvement on dynamic elastic interpolation technique for reconstructing 3-D objects from serial cross-sections, In Proc. Comp. Assisted Radiology, Berlin, pp. 702-706, (1989).
12. S.Y. Chen, W.C. Lin, C.C. Liang and C.T. Chen, Improvement on dynamic elastic interpolation technique for reconstructing 3-D objects from serial cross-sections, IEEE Trans. Med. Imaging 9, 71-84, (1990).
13. S.P. Raya and J.K. Udupa, Shape-based interpolation of multidimensional objects, IEEE Trans. Medical Imaging 9 (1), 32-42, (1990).
14. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadephia, PA, (1992).
15. C.K. Chui, An Introduction to Wavelets, Academic Press, (1991).
16. A. Cohen, Biorthogonal wavelets, In Wavelets: A Tutorial in Theory and Applications, (Edited by C.K. Chui), pp. 123-152, Academic Press, (1992).
17. I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. on Pure and Appl. Math. 41, 909-996, (1988).
18. G. Beylkin, R. Coifman and V. Rokhlin, Fast wavelet transforms and numerical algorithms, Comm. Pure Appl. Math. 44, 141-183, (1991).
19. I. Daubechies, Orthonormal bases of compactly supported wavelets II. Variations on a theme, SIAM J. Math. Anal., (submitted) (1990).
20. Vaidyanathan, Multirate Systems and Filter Banks, Englewood Cliffs.
21. M. Kass, A. Witkin and D. Trezopoulox, Snakes: Active contour models, Int. J. Comput. Vision 1, 321-331, (1987).
22. F.P. Ferrie, J. Lagarde and P. Whaite, Arboux frames, snake, and super-quadrics: Geometry from the bottom up, IEEE Trans. Patt. Anal. Mach. Intell. 15 (8), 771-784, (1993).
23. K. Udupa and D. Odhner, Fast visualization, manipulation, and analysis of binary volumetric objects, IEEE Computer Graphics and Applications, 53-61, (1991).
24. C.-H. Chen, A.-S. Lee, J.-D. Lee and W.H. Yang, 3D image reconstruction of bladder by nonlinear interpolation, Mathl. Comput. Modelling 22 (8), 61-72, (1995).