  The main scope of this paper is to show how tools from quantum mechanics, in
particular the Schroedinger equation, can be used to construct an adaptive
transform suitable for signal and image processing applications. The proposed
dictionary is obtained by considering the signal or image as a discrete
potential in Schroedinger equation, further used to construct the Hamiltonien
operator. In order to illustrate its practical interest in signal and image
processing, we provide denoising results in the case of signal-dependent noise,
which is the noise type the most adapted to the proposed approach.
