McDonnell, Kevin T.Neophytou, NeophytosMueller, KlausQin, HongK. Museth and T. Moeller and A. Ynnerman2014-01-312014-01-312007978-3-905673-45-61727-5296https://doi.org/10.2312/VisSym/EuroVis07/139-146Volumetric Subdivision (VS) is a powerful paradigm that enables volumetric sculpting and realistic volume deformations that give rise to the concept of "virtual clay". In VS, volumes are commonly represented as a space-filling set of deformed polyhedra, which can be further decomposed into a mesh of tetrahedra for rendering. Images can then be generated via tetrahedral projection or raycasting. A current shortcoming in VS-based operations is the need for a very high level of subdivision to represent fine detail in the mesh and to obtain a high-fidelity visualization. However, we have discovered that the subdivision process itself can be closely simulated with radial basis functions (RBFs), making it possible to replace the finer subdivision levels by a coarser aggregation of RBF kernels. This reduction to a simplified assembly of RBFs subsequently enables interactive rendering of volumetric subdivision shapes within a GPU-based volume splatting framework.Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computing Methodologies]: Computer GraphicsPicture/ Image Generation;I.3.7 [Computing Methodologies]: Computer GraphicsThree-Dimensional Graphics and Realism ;I.4.10 [Computing Methodologies]: Image ProcessingVolumetric Image Representation