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In this paper we propose an adaptive method for local tone mapping in which the vicinity of the current pixel is adaptively selected in order to reduce the artifacts near edges. In addition to that, the only parameter controlling the global effect of the tone mapping is adaptively computed based on the statistics of the processed image. To introduce our method, we start from a simple analysis of the tone mapping model and we validate our method by experimental results. Finally, we compare our method with an existing local tone mapping approach.