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Wavelets and Filter Banks Gilbert Strang, Truong Nguyen
Publisher: Wellesley College

Filters, Kernels, and Fields Convolution Theorem Linear Filters Wavelets and Filter Banks Kernel Methods Gibbs–Markov Random Fields. Later techniques are based on Discrete Wavelet Transform, uniform rational filter bank, and Laplacian pyramid. Many methods exist to perform image fusion. The very basic one is the high pass filtering technique. Kilby Signal Processing Medal in 2011 for “pioneering contributions to the theory and applications of wavelets and filter banks.”. For an image, 2D-DWT is generally calculated using a separable approach. The Mallat algorithm is in fact a classical scheme known in the signal processing community as a two-channel subband coder (see page 1 of the book Wavelets and Filter Banks, by Strang and Nguyen [StrN96]). Ingrid Daubechies, who is also a professor of mathematics, was awarded the IEEE Jack S. Finally, the text discusses Fourier transform and wavelet theory on the real line. The corresponding filter bank algorithm is simple but enormously effective. Discrete Wavelet Transform (DWT) can be implemented using two-channel wavelet filter bank in a recursive fashion. Tetrolets are Haar-type wavelets whose supports are tetrominoes which are shapes made by connecting four equal-sized squares.