A toolbox for the lifting scheme on quincunx grids (LISQ)

A collection of functions written in MATLAB is presented. The functions include second generation wavelet decomposition and reconstruction tools for images as well as functions for the computation of moments. The wavelet schemes rely on the lifting scheme of Sweldens and use the splitting of rectangular grids into quincunx grids, also known as red-black ordering. The prediction filters include the Neville filters as well as a nonlinear maxmin filter. Custom-made filters can be used too. The various functions are described and examples are given. The toolbox is provided with appliances for the visualization of data on quincunx grids. The software can be downloaded from a website and is publicly available.