In this paper we propose an extension for the Acoustic Radiance Transfer (ART) method for the modeling of room acoustics. The original ART method is very efficient for modeling diffuse reflections and the late reverberation but does not well represent the early echoes. We then propose, in this paper, an extension of the ART method which allows to model the early part while keeping the advantages of the original method for the late reverberation simulation. The experimental results confirm that the proposed method gives more accurate reconstruction of the early reflections than the traditional ART method in average and that comparable accuracy can be obtained at lower complexity and memory requirements than the traditional ART method.