A wavelet is a mathematical function is beneficial in image compression and digital signal processing. The usage of wavelets for these resolutions is a modern expansion, although the theory is not new. The principles are parallel to those of Fourier analysis, which was first established in the early part of the 19th century.
Wavelet compression works by examining an image and converting it into a set of mathematical expressions that can then be decoded by the receiver. A wavelet-compressed image file is often given a name suffix of "WIF." Either your browser must support these files or it will require a plug-in program to read the fles.
Wavelet compression is not yet widely used on the Web. The most common compressed image formats remain the Graphics Interchange Format (GIF ), used mainly for drawings, and JPEG, used mainly for photographs.
Wavelet compression works by examining an image and converting it into a set of mathematical expressions that can then be decoded by the receiver. A wavelet-compressed image file is often given a name suffix of "WIF." Either your browser must support these files or it will require a plug-in program to read the fles.
Wavelet compression is not yet widely used on the Web. The most common compressed image formats remain the Graphics Interchange Format (GIF ), used mainly for drawings, and JPEG, used mainly for photographs.
Note that the spectra shown here are not the frequency response of the high and low pass filters, but rather the amplitudes of the continuous Fourier transforms of the scaling (blue) and wavelet (red) functions.
Cohen-Daubechies-Feauveau wavelet are the historically first family of biorthogonal wavelets, which was made popular by Ingrid Daubechies. They are not the same as the orthogonal Daubechies wavelets, and also not very similar in shape and properties. However, their structure of idea is the same. The JPEG 2000 compression standard uses the biorthogonal CDF 5/3 wavelet, also called the LeGall 5/3 wavelet, for lossless compression and a CDF 9/7 wavelet for lossy compression.
The Cohen-Daubechies-Feauveau wavelet and other biorthogonal wavelets have been used to compress fingerprint scans for the FBI. A customary for compressing fingerprints in this way was developed by Tom Hopper (FBI), Jonathan Bradley (Los Alamos National Laboratory) and Chris Brislawn (Los Alamos National Laboratory). With the use of wavelets, a compression ratio of around 20 to 1 can be attained, meaning a 10MB image could be reduced to as little as 500KB while still passing recognition tests.
Cohen-Daubechies-Feauveau wavelet are the historically first family of biorthogonal wavelets, which was made popular by Ingrid Daubechies. They are not the same as the orthogonal Daubechies wavelets, and also not very similar in shape and properties. However, their structure of idea is the same. The JPEG 2000 compression standard uses the biorthogonal CDF 5/3 wavelet, also called the LeGall 5/3 wavelet, for lossless compression and a CDF 9/7 wavelet for lossy compression.
The Cohen-Daubechies-Feauveau wavelet and other biorthogonal wavelets have been used to compress fingerprint scans for the FBI. A customary for compressing fingerprints in this way was developed by Tom Hopper (FBI), Jonathan Bradley (Los Alamos National Laboratory) and Chris Brislawn (Los Alamos National Laboratory). With the use of wavelets, a compression ratio of around 20 to 1 can be attained, meaning a 10MB image could be reduced to as little as 500KB while still passing recognition tests.