Introduction to Wavelet-based Compression of Medical Images

Radiographics

Volumn 18, Issue 2, 1998, Pages 469-481

  Schomer, Donald F ^a   Elekes, Álmos A ^a   Hazle, John D ^a   Huffman, John C ^b   Thompson, Stephen K ^a   Chui, Charles K ^c   Murphy Jr , William A ^a  

^a UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

^b HEWLETT PACKARD ENTERPRISE   (United States)

^c TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Data compression; Images, digitization; Images, storage and retrieval; Images, transmission

Indexed keywords

ARTICLE; HOSPITAL INFORMATION SYSTEM; HUMAN; IMAGE PROCESSING; IMAGE QUALITY;

HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOLOGY INFORMATION SYSTEMS;

EID: 0032015058     PISSN: 02715333     EISSN: None     Source Type: Journal    
DOI: 10.1148/radiographics.18.2.9536490     Document Type: Article

References (27)

1. Willis CE, Schomer DF. Distributed acquisition of digital images in a rural setting. In: Huang HK, Ratib O, Bakker AR, Witte G, eds. Picture archiving and communication systems in medicine. Series F: Computer and Systems Sciences, vol 74. NATO Advanced Studies Institute, 1990.
2. Nelson M. The data compression book. New York, NY: M&T Books, 1992; 81-148.
3. Haar A. Zur theorie der orthogonalen funktionensysteme. Math Ann 1910; 69:331-371.
4. Daubechies I. Orthonormal bases of compactly supported wavelets. Comm Pure Appl Math 1988; 41:909-996.
5. Mallat SG. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Analysis Machine Intell 1989; 11:674-693.
6. Meyer Y. Ondelettes et operateurs [Wavelets and operators]. Paris, France: Hermann, 1990.
7. Chui CK. An introduction to wavelets. San Diego, Calif: Academic Press, 1992.
8. Fourier J. Theorie analytique de la chaleur. Paris, France: Euvres, 1. Gauthier-Villors, 1822.
9. Gábor D. Theory of communication. J IEEE 1946; 93:429-457.
10. Grossman A, Morlet J. Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM J Math Anal 1984; 15:723-736.
11. Heideman MT, Johnson DH, Burrus CS. Gauss and the history of the FFT. IEEE Trans Acoustic Speech Signal Processing 1984; 1:14-21.
12. Gauss CF. In discussion: Werke F. Nachlass, theoria methodo nova tractata, band 3 koeniglichen gesellschaft der Wissenschaften: Goettingen, 1866; 265-330.
13. Cooley JW, Tukey JW. An algorithm for the machine calculation of complex Fourier series. Math Comput 1965; 19:297-301.
14. Chui CK, Wang JZ. A study of compactly supported scaling function and wavelets. In: Laurent PJ, Le Mehaute A, Schumaker LL, Peters AK, eds. Wavelets, images and surface fitting. Wellesley, Mass; Wellesley-Cambridge Press, 1994; 121-140.
15. Chui CK, Wang JZ. Computational and algorithmic aspects of cardinal spline-wavelets. Catalog report 322. Houston, Tex: Texas A & M University, 1995.
16. Chui CK, Wang JZ. On compactly supported spline wavelets and a duality principle. Trans Am Math Soc 1991; 330:903-915.
17. Heisenberg W. Uber den anschaulischen inhalt der quantentheoretischen kinematik und mechanik. Zeit Phys 1926; 43:172-198.
18. Chui CK. Wavelets: a mathematical tool for signal processing. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 1997.
19. Ahmed N, Natarajan TR. Discrete cosine transform. IEEE Trans Computers 1974; 23:90-93.
20. Coifman R, Meyer Y, Quake S, Wicherhauser MV. Signal processing and compression with wave packets. In: Proceedings of the Conference on Wavelets. Marseilles, France: Springer, 1989.
21. Antonini M, Barlaud M, Mathieu P, Daubechies I. Image coding using wavelet transforms. IEEE Trans Image Processing 1992; 1:205-220.
22. Strang G, Nguyen T. Wavelets and filter banks. Wellesley, Mass: Wellesley-Cambridge Press, 1996.
23. Shapiro JM. An embedded hierarchical image coder using zerotrees of wavelet coefficients. In: Proceedings of the IEEE Data Compression Conference 1993. Piscataway, NJ: IEEE Standards Office, 1993; 214-223.
24. Said A, Pearlman WA. A new fast and efficient image codec based on set partitioning in hierarchical trees. In: IEEE Transactions on Circuits and Systems for Video Technologists. Piscataway, NJ: IEEE Standards Office, 1993.
25. Zandi A, Allen JD, Schwartz EL, Boliek M. CREW: compression with reversible embedded wavelets. In: Proceedings of the IEEE Data Compression Conference 1995. Piscataway, NJ: IEEE Standards Office, 1995; 212-221.
26. Schomer DF, Hazle JD, Huffman JC, Stelling CB, Chui C. The application of an optimal semi-orthogonal spline wavelet transform for the compression of digital mammograms (abstr). Radiology 1996; 201(P):554.
27. Aldroubi A, Unser M. Wavelets. In: Medicine and biology. Boca Raton, Fl: CRC Press, 1996.