### Demo page

This page is designed for tutors and lecturers. Here, you find a broad selection of examples, demo programs, as well as illustrating images that can be shown readily in lectures or presentations. You may navigate this page by using the directory on the left.

##### Haar Wavelet

The Haar wavelet is a piecewise constant function whose dyadic dilates and integer translates form an orthonormal basis in L_{2} over the real line.

##### Refinable functions via Subdivision

A refinable function is a function that solves a refinement equation with respect to a given mask. If a refinable function generates a multiresolution analysis in L_{2}, it can be used to construct a wavelet basis for this space; in this case it is called scaling function.

##### Spline Wavelets

Spline wavelets are generated from cardinal B-spline scaling functions.

##### Cohen/Daubechies/Feauveau Wavelets

(d=1,dt=1) |
(d=1,dt=3) |
(d=2,dt=2) |

[a,astart]=N_mask(d);[at,atstart]=CDF_mask(d,dt);plot_wavelet(a,astart,at,atstart,10)

##### Daubechie's Wavelets

plot_wavelet(D_mask(2),0,10)

##### 2D Wavelet examples

haar0x2Dwavelet(:,2) * haar0x2Dgenerator(:,2)' |
haar0x2Dwavelet(:,2) * haar0x2Dwavelet(:,2)' |
awavelet0x2D3(:,2) * awavelet0x2D3(:,2)' |

awavelet0x2D2(:,2) * awavelet0x2D2(:,2)' |
awavelet0x2D1(:,2) * awavelet0x2D1(:,2)' |
awavelet0x2D0(:,2) * awavelet0x2D0(:,2)' |

surfc(param[caption], 'EdgeColor', 'none','FaceColor','texturemap')

##### An adaptive algorithm to solve a differential equation

Example of an adaptive algorithm to solve the Poisson equation.

Tutorial
Download
##### Tiling-Plotter

Self-affine tilings with several tiles (so called "multi-tilings") are useful for wavelet theory due to their connection to multiwavelet bases of L_{2}.

Multi-Tiling-Plotter
ZxZ-Tilings
Download