Multiscale geometric image processing

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5150 II, Issue , 2003, Pages 1265-1272

  Romberg, Justin K ^a   Wakin, Michael B ^a   Baraniuk, Richard G ^a  

^a Rice University   (United States)

Author keywords

Geometry in images; Image compression; Wedgelets

Indexed keywords

COMPUTATIONAL GEOMETRY; IMAGE CODING; IMAGE QUALITY; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; OPTIMIZATION; WAVELET TRANSFORMS;

CARTOON IMAGES; GEOMETRIC STRUCTURE; WEDGELETS;

IMAGE COMPRESSION;

EID: 0141719474     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.509903     Document Type: Conference Paper

References (21)

1. I. Daubechies, Ten Lectures on Wavelets, SIAM, New York, 1992.
2. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, 2nd ed., 1998.
3. J. Shapiro, "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing 41, pp. 3445-3462, Dec. 1993.
4. M. S. Crouse, R. D. Nowak, and R. G. Baraniuk, "Wavelet-based statistical signal processing using hidden Markov models," IEEE Trans. Signal Processing 46, pp. 886-902, Apr. 1998.
5. Z. Xiong, K. Ramchandran, and M. T. Orchard, "Space-frequency quantization for wavelet image coding," IEEE Trans. Image Processing 6(5), pp. 677-693, 1997.
6. A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore, "Tree approximation and optimal encoding," J. Appl. Comp. Harm. Anal. 11, pp. 192-226, 2001.
7. A. Cohen, I. Daubechies, O. G. Guleryuz, and M. T. Orchard, "On the importance of combining wavelet-based nonlinear approximation with coding strategies," IEEE Trans. Inform. Theory 48, pp. 1895-1921, July 2002.
8. E. Candés and D. Donoho, "Curvelets - a surpringly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting, A. C. et. al, ed., Vanderbilt University Press, 1999.
9. 2 singularities," Technical Report, Stanford University, 2002.
10. M. N. Do, Directional Multiresolution Image Representations. PhD thesis, École Polytechnique Fédéral de Laussane, October 2001.
11. E. L. Pennec and S. Mallat, "Image compression with geometrical wavelets," in IEEE Int. Conf. on Image Proc. - ICIP'01, (Thessaloniki, Greece), Oct. 2001.
12. D. Donoho, "Wedgelets: Nearly-minimax estimation of edges," Annals of Stat. 27, pp. 859-897, 1999.
13. M. B. Wakin, J. K. Romberg, H. Choi, and R. G. Baraniuk, "Rate-distortion optimized image compression using wedgelets," in IEEE Int. Conf. on Image Proc. - ICIP '02, (Rochester, NY), September 2002.
14. T. Cover and J. Thomas, Elements of Information Theory, Wiley, New York, 1991.
15. M. N. Do, P. L. Dragotti, R. Shukla, and M. Vetterli, "On the compression of two-dimensional piecewise smooth functions," in IEEE Int. Conf. on Image Proc. - ICIP '01, (Thessaloniki, Greece), Oct. 2001.
16. X. Huo, Sparse Image Representation via Combined Transforms. PhD thesis, Stanford University, 1999.
17. L. Breiman, J. Friedman, R. Olshen, and C. Stone, Classification and Regression Trees, Wadsworth, Belmont, CA, 1984.
18. A. Ortega and K. Ramchandran, "Rate-distortion methods for image and video compression," IEEE Signal Processing Mag. 15, pp. 23-50, Nov. 1998.
19. I. H. Witten, R. M. Neal, and J. G. Cleary, "Arithmetic coding for data compression," Comm. of the ACM 30, pp. 520-540, June 1987.
20. L. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE 77, pp. 257-285, Feb. 1989.
21. J. K. Romberg, Multiscale Geometric Image Processing. PhD thesis, Rice University, 2003.