Construction of Quadratic and Cubic Orthogonal \(\omega \) B-spline Wavelets

The definition and basic properties of \(\omega \) B-splines, frequently used as primal scaling functions, are introduced, as well as their refinement equation. Then, a method for constructing orthogonal wavelets using \(\mathcal {C}^1\) and \(\mathcal {C}^2\) \(\omega \) B-splines is presented.