Overview

Wavelets are mathematical functions that cut up data into different frequency components, and then study each component with a resolution matched to its scale. For this project we used polyharmonic B-splines to build multidimensinal wavelet bases. In particular, we focus on the two-dimensional dyadic subsampling scheme. We derive a family of polyharmonic spline wavelets corresponding to the different flavors of the semi-orthogonal wavelet transform; e.g. othonormal, B-spline, dual.

Synthesis ofCamera Image (1 step, gamma = 6.0 )