Edge preserved low-pass filtering controlled by local dimension

Low-pass image filtering, especially averaging, causes edge blurring. To prevent this effect we propose in this paper controlled low-pass filtering. Local dimension is used as a control parameter, favoring only non-edge-like regions for filtering. Multifractal capacities used in that aim are maximum and minimum multifractal capacities, since of their sensitivity on edges. Obtained results are evaluated using average gradient measure.