1. Wavelets: Mathematical representation tool
Decomposes into layers corresponding to features
at different scales
Particularly useful for signal analysis
(images, sonar data, …)

15. Compression

17. Compression Ratio: 3.3%

18. Compression Ratio: 10%

19. Fast adapted retrieval

25. Wavelets: Representation specially suitable for images Compression
Zoom-in capability

26. wavelet reconstruction compression ratio=18:1 original
Courtesy of Chris Brislawn
LANL

27. Courtesy of Chris Brislawn
another sample
Courtesy of Chris Brislawn
LANL

28. Courtesy of Chris Brislawn
zoom-in
Courtesy of Chris Brislawn
LANL

29. compressed using wavelets compression ratio=15:1
original
compressed using wavelets
compression ratio=15:1
Courtesy of Chris Brislawn
LANL

30. compressed using wavelets compression ratio=19:1
compressed using JPEG
compression ratio=19.6:1
compressed using wavelets
compression ratio=19:1
Courtesy of Chris Brislawn
LANL

31. Fingerprints: Digitally stored Compressed - fast retrieval
- fast search