In an increasingly data-driven world, mathematical tools known as wavelets have become an indispensable way to analyze and understand information. Many researchers receive their data in the form ...

In this paper we investigate spline wavelets on general triangulations. In particular, we are interested in C¹ wavelets generated from piecewise quadratic polynomials. By using the Powell-Sabin ...

The results of the optimization process allow us to implement the construction of biorthogonal wavelets from Dahmen and Schneider. As an example, we illustrate a wavelet basis on the 2-sphere.