Extension of Two-scale Similarity Transforms

A two-scale similarity transform (TST), applied to a multi-scaling function, produces a new multi-scaling function with higher approximation order. A new dual multi-scaling function can be found by applying an inverse TST to the original dual, provided it has approximation order ~ p 1. We extend the original deenition of a TST in two ways: 1. by extending it to the full multiwavelets (scaling and wavelet functions), and 2. by a modiied algorithm which can be used to nd a new dual even in the case ~ p = 0.