Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
A polygonal approximation to direct scalar volume rendering
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Subdivision schemes for fluid flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Hardware-accelerated volume and isosurface rendering based on cell-projection
Proceedings of the conference on Visualization '00
Multiresolution view-dependent splat based volume rendering of large irregular data
PVG '01 Proceedings of the IEEE 2001 symposium on parallel and large-data visualization and graphics
View-dependent multiresolution splatting of non-uniform data
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
A multiresolution framework for dynamic deformations
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
A new solid subdivision scheme based on box splines
Proceedings of the seventh ACM symposium on Solid modeling and applications
Splatting of Non Rectilinear Volumes Through Stochastic Resampling
IEEE Transactions on Visualization and Computer Graphics
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Selective Refinement Queries for Volume Visualization of Unstructured Tetrahedral Meshes
IEEE Transactions on Visualization and Computer Graphics
Interpolatory, solid subdivision of unstructured hexahedral meshes
The Visual Computer: International Journal of Computer Graphics - Special section on implicit surfaces
Texture-Encoded Tetrahedral Strips
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
Hardware-Assisted Visibility Sorting for Unstructured Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
A Frequency-Sensitive Point Hierarchy for Images and Volumes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Computer Graphics and Applications
Progressive Volume Rendering of Large Unstructured Grids
IEEE Transactions on Visualization and Computer Graphics
Slow growing volumetric subdivision
ACM SIGGRAPH 2002 conference abstracts and applications
A 4-point interpolatory subdivision scheme for curve design
Computer Aided Geometric Design
Interactively visualizing procedurally encoded scalar fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
GPU-accelerated volume splatting with elliptical RBFs
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
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Volumetric 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.