Theoretical foundations of transform coding

IEEE Signal Processing Magazine

Volumn 18, Issue 5, 2001, Pages 9-21

  Goyal, Vivek K ^b  

^a Digital Fountain Inc   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COSINE TRANSFORMS; IMAGE COMPRESSION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY DENSITY FUNCTION; SIGNAL FILTERING AND PREDICTION; STANDARDS; VECTOR QUANTIZATION; WAVELET TRANSFORMS;

CONSTRAINED SOURCE CODING; ENTROPY CODES; HUFFMAN CODES; JOINT PHOTOGRAPHIC EXPERTS GROUP; TRANSFORM CODING; WAVELET TRANSFORM-BASED IMAGE COMPRESSION;

IMAGE CODING;

EID: 85032752137     PISSN: 10535888     EISSN: None     Source Type: Journal    
DOI: 10.1109/79.952802     Document Type: Article

References (40)

1. The vocoder
2. Optimal modeling for complex system design
3. Optimum quantizer performance for a class of non-Gaussian memoryless sources
4. Asymptotically optimal block quantization
5. Asymptotically efficient quantizing
6. Analog source digitization: A comparison of theory and practice
7. High-rate transform coding: How high is high, and does it matter?
8. Transform coding with integer-to-integer transforms
9. Multiple description coding: Compression meets the network
10. Transform coding with backward adaptive updates
11. Quantization
12. Analysis of a complex of statistical variables into principal components
13. Quantization of correlated random variables
14. Block quantization of correlated Gaussian random variables
15. A method for the construction of minimum redundancy codes
16. A sinusoidal family of unitary transforms
17. Über lineare methoden in der Wahrscheinlichkeitsrechnung
18. A linear coding for transmitting a set of correlated signals
19. Fonctions aleatoires de seconde ordre
20. Fundamental limits of low-rate transform codes
21. Time-memory tradeoffs in vector quantizer codebook searching based on decision trees
22. Rate-distortion methods for image and video compression
23. Further decomposition of the Karhunen-Loève series representation of a stationary random process
24. Bit allocation and encoding for vector sources
25. Efficient bit allocation for an arbitrary set of quantizers
26. The JPEG 2000 still image compression standard
27. A tutorial on modern lossy wavelet image compression: Foundations of JPEG 2000
28. Wavelets, approximation, and compression
29. On optimum quantization