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Effective color image and video coding is usually exploited coupling a compression method with the most suitable color space representation. This work extends a previously proposed high dynamic range (HDR) image coding method, which combines a logarithmic color adaptation module with a JPEG2000 codec. Here we propose to change the original preprocessing stage with a more adequate one, based on the LogLuv color space representation, in order to take fully advantage of wavelet based coding. The experimental comparisons confirm that the proposed method improves the compression performances and simplify the overall coding scheme.