실수형 2차원 데이터를 위한 고속 미디언 필터링 알고리즘

Abstract

ABSTRACT Median filtering is very effective to remove impulse type noises, so it has been widely used in many signal processing applications. However, due to the time complexity of its non-linearity, median filtering is often used using a small filter window size. A lot of work has been done on devising fast median filtering algorithms, but most of them can be efficiently applied to input data with finite integer values like images. Little work has been carried out on fast 2-d median filtering algorithms that can deal with real-valued 2- d data. In this paper, a fast and simple median 2-d filter is presented, and its performance is compared with the Matlab’s 2-d median filter and a heap-based 2-d median filter. The proposed algorithm is shown to be much faster than the Matlab’s 2-d median filter and consistently faster than the heap-based algorithm that is much more complicated than the proposed one. Also, a more efficient median filtering scheme for 2-d real valued data with a finite range of values is presented that uses higher-bit integer 2-d median filtering with negligible quantization errors.