October 19 | Handout on Fourier series | (updated on October 26) |
October 26 | Example on the Gibbs phenomenon | |
October 26 | Slides on Hilbert spaces | |
November 7 | Notebook examples on dilation and scaling | |
November 7 | Slides on the Haar basis functions | |
November 7 | Notebook example for function approximation with Haar wavelets | (updated on November 8) |
November 15 | Notebook with a demo application of the Haar transform | |
November 15 | Slides on the Haar wavelet transform | |
November 15 | Slides on the estimation of Haar coefficients | |
November 15 | Slides with a demo of the Haar approximation | |
November 15 | Overview on functions and operations for Haar wavelets | |
November 16 | Notebook with examples on the Fourier transform | |
November 16 | Slides on "Fourier Essentials" | |
November 22 | Notebook with a demo on the 1-D Haar transform | |
November 22 | Notebook on the estimation of Haar coefficients on a jump discontinuity | |
November 28 | Notebook on filtering discrete signals | |
November 28 | Slides on filters and signals | |
November 28 | Overview page on convolution identities for periodic functions and sequences | |
December 5 | Slides on orthogonal filters and reconstruction, Daubechies and Coiflet filters | |
December 5 | Slides with a short summary of the construction of Daubechies filters | |
December 5 | Notebook on the construction of Daubechies D4 and D6 filters | |
December 5 | Notebook on the construction of C6 filters | |
December 5 | Notebook containing some examples of wavelet filter coefficients | |
December 12 | Slides: From filters to scaling and wavelet functions via the cascade algorithm or via dyadic interpolation | |
December 12 | Notebook on approximation of scaling and wavelet functions using the cascade algorithm | |
December 12 | Notebook on filters and matrices of all currently considered filters | |
December 12 | Synopsis on discrete wavelet transforms | |
December 12 | Notebook on dyadic approximation of the scaling and wavelet functions | |
December 13 | Slides "A closer look at the cascade algorithm" | |
December 13 | Notebook on the approximation of polynomial functions by wavelet scaling functions | |
December 13 | Notebook on filters and matrices of all currently considered filters | |
December 19 | Slides "Denoising using Wavelets" | |
December 19 | Notebook "Denoising using Wavelets" (Part 1) | |
December 19 | Notebook "Denoising using Wavelets" (Part 2) | |
December 19 | Notebook "Denoising using Wavelets" (Part 3) | |
December 19 | Notebook "Denoising using Wavelets" (Part 4) | |
January 11 | Notebook on bit approximation | |
January 11 | Notebook on embedded trees in 1-D DWT | |
January 11 | Notebook on progressive transmission | |
January 11 | Slides on the SPIHT method | |
January 11 | Notebook with examples on the SPIHT method | |
January 21 | Slides on Multiresolution Analysis | |
January 21 | Notebook on orthogonality of the sinc function | |
January 21 | Notebook on approximation and vanishing moments | |
January 24 | Slides on Biorthogonal Filter Pairs and Wavelets | |
January 24 | Notebook on biorthogonal filter pairs (B-splines, CDF-7/9) | |
January 24 | Slides on the constructon of biorthogonal filter pairs | |
January 24 | Notebook on approximations with hat functions | |
January 24 | Slides to motivate bi-orthogonality | |
January 24 | Notebook on approximation and vanishing moments | |
January 31 | Slides on construction of orthogonal and biorthogonal wavelets via lifting | |
January 31 | Notebook on the CDF 7/9 filter pair | |
February 6 | Notebook with an illustration of the Continuous Wavelet Transform (CWT) | |
February 6 | Slides on Continuous wavelet transform and edge detection | |
February 6 | Notebook with an illustration of the a-trous algorithm | |
February 6 | Slides on wavelets and edge detection | |
February 6 | Notebook on edge detection with the Sobel operator | |
February 6 | Notebook on edge detection with wavelets | |
February 6 | Notebook with an illustration on edge detection | |