being proposed for seamless tessellation of texture as well as the digital elevation model (DEM). In the use case, in perspective, the tessellation is heterogeneous in resolution with three different tile qualities or levels of detail (LOD), at a given instant, depending on the viewpoint distance, the time of rendering and hardware resources. The LOD is dependent on the multiresolution characteristic of wavelets from the now widely accepted JPEG2000 codec. Three different joining functions have been employed to create subband-sized masks for each of the tile subbands selected for smoothing. The results, obtained for a practical example, have been interesting in the sense that it eliminated the popping artifacts to a considerable extent without affecting the field of view at a given instant.