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Wavelets: Mathematical representation tool

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Presentation on theme: "Wavelets: Mathematical representation tool"— Presentation transcript:

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

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15 Compression

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17 Compression Ratio: 3.3%

18 Compression Ratio: 10%

19 Fast adapted retrieval

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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


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