The recent diffusion of wearable and portable Augmented and Mixed Reality devices have highlighted some open problems in the transmission and visualization of three-dimensional point clouds such as the adaptation of the bit stream to different devices and networks or the optimization of the rendering/coding complexity.The current paper proposes a rendering-aware approach for the compression of static point cloud models that employs a multi-resolution representation of the model in spherical coordinates. This approach proves to be extremely effective in shaping the transmitted bit stream and rendering operations according to the complexity of the 3D model and the available calculation resources. Experimental results show that the proposed solution outperforms one of the most recent state-of-the-art solutions in terms of rate-distortion performance and computional effort.