Tools

Publically Available Software

Spatial Domain Toolbox

A collection of Matlab functions and scripts for multidimensional signal processing. Generally useful are fast functions to compute convolution, normalized convolution, polynomial expansion, and "loopfree" loops over points and neighborhoods in multidimensional arrays. There are also more specific functions to compute orientation tensors and velocity and displacement fields, implementing algorithms from Farnebäck's thesis.

Current versions are available in the subversion repository at http://lsvn.lysator.liu.se/svnroot/spatial_domain_toolbox/trunk. These can be checked out and kept up to date with a subversion client. If you don't have a subversion client you can also access the repository with your web browser.

Reconstruction from Gradients

A scalar field can be reconstructed from estimates of its gradients by solving a Poisson equation with inhomogeneous Neumann boundary conditions. An efficient multigrid implementation allowing irregular regions of interest is available in the antigradient and antigradient2 functions of the Spatial Domain Toolbox above.