Fast signal-induced transforms in image enhancement

In this paper, the concept of the discrete unitary transforms induced by given signals or input signals is modified and developed. The basic transformations composing such transforms are parameterized and the energy (or its partial part) of signals is transferred to one of their components in different paths. We focus on the case when all basic transformations themselves represent Givens rotations of the inputs or modified inputs. The consideration of these transformations is of much interest in the unique angular forms, which allows us to consider signals and their transforms in the very compact region of 2¿. Applications of proposed angular transforms for image enhancement are described.