Abstract: In traditional image median filtering algrithm, two key factors that can effect the denoising power of this filter, namely fixed order window and unconditional median operations. Aiming at this problem, this paper proposes an improved algorithm. The pseudo-quantized representation of digital image is put forward through using quantum theory and an adaptive mechanism is introduced by means of quantum Hadamard transform, so that the size and shape of the order windows can be automatically adjusted according to the local characteristics of the image. Furthermore, a conditional median algorithm is also introduced to preserves image details as much as possible in the denoising. Simulation results show that the proposed algorithm has stronger ability to filter noise and preserve significant image details simultaneously compared with the traditional median filtering algorithm and recursion median filtering algorithm. Another advantage of the proposed improved median filtering algorithm is not sensitive to the strength of the noise, it means that the effection of strength of noise to filtering is very small.
conditional median operation