In this paper we present a hyperbolic tree layout extended to support different level-of-detail techniques and suitable for large tree representation and visualization. This layout permits the visualization of large trees with different level of detail in anenclosed 3-dimensional volume. As a significant part of the layout, we also present a Weighted Spherical Centroidal Voronoi Tessellation, an extension of planar Weighted Centroidal Voronoi Tessellations, in order to find an appropriate distribution of nodes on a spherical surface.