Area and volume coherence for efficient visualization of 3D scalar functions
VVS '90 Proceedings of the 1990 workshop on Volume visualization
A polygonal approximation to direct scalar volume rendering
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Visibility-ordering meshed polyhedra
ACM Transactions on Graphics (TOG)
Knot selection for least squares thin plate splines
SIAM Journal on Scientific and Statistical Computing
Sorting and hardware assisted rendering for volume visualization
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Accelerated volume rendering and tomographic reconstruction using texture mapping hardware
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Efficiently using graphics hardware in volume rendering applications
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Least squares surface approximation using multiquadrics and parametric domain distortion
Computer Aided Geometric Design
Multiresolution techniques for interactive texture-based volume visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Level-of-detail volume rendering via 3D textures
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Grouping and parameterizing irregularly spaced points for curve fitting
ACM Transactions on Graphics (TOG)
Hardware-accelerated volume and isosurface rendering based on cell-projection
Proceedings of the conference on Visualization '00
FastSplats: optimized splatting on rectilinear grids
Proceedings of the conference on Visualization '00
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
Proceedings of the conference on Visualization '00
An overview of radial basis function networks
Radial basis function networks 2
Harnessing chaos for image synthesis
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
High-quality pre-integrated volume rendering using hardware-accelerated pixel shading
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
Tetrahedral projection using vertex shaders
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Hardware-based view-independent cell projection
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Interactive translucent volume rendering and procedural modeling
Proceedings of the conference on Visualization '02
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Hierarchical Clustering for Unstructured Volumetric Scalar Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Computer Graphics and Applications
IEEE Transactions on Visualization and Computer Graphics
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
GPU-accelerated volume splatting with elliptical RBFs
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Volumetric evaluation of meshless data from smoothed particle hydrodynamics simulations
VG'10 Proceedings of the 8th IEEE/EG international conference on Volume Graphics
On visualization and reconstruction from non-uniform point sets using B-splines
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Real-time isosurface rendering of smooth fields
Journal of Visualization
Data fitting independent of grid structure using a volumic version of MPU
Journal of Visualization
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While interactive visualization of rectilinear gridded volume data sets can now be accomplished using texture mapping hardware on commodity PCs, interactive rendering and exploration of large scattered or unstructured data sets is still a challenging problem. We have developed a new approach that allows the interactive rendering and navigation of procedurally-encoded 3D scalar fields by reconstructing these fields on PC class graphics processing units. Since the radial basis functions (RBFs) we use for encoding can provide a compact representation of volumetric scalar fields, the large grid/mesh traditionally needed for rendering is no longer required and ceases to be a data transfer and computational bottleneck during rendering. Our new approach will interactively render RBF encoded data obtained from arbitrary volume data sets, including both structured volume models and unstructured scattered volume models. This procedural reconstruction of large data sets is flexible, extensible, and can take advantage of the Moore's Law cubed increase in performance of graphics hardware.