Power diagrams: properties, algorithms and applications
SIAM Journal on Computing
Generating antialiased images at low sampling densities
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Area and volume coherence for efficient visualization of 3D scalar functions
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Raytracing irregular volume data
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
Spectrally optimal sampling for distribution ray tracing
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Hierarchical splatting: a progressive refinement algorithm for volume rendering
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
A coherent projection approach for direct volume rendering
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Visibility-ordering meshed polyhedra
ACM Transactions on Graphics (TOG)
Splatting: a parallel, feed-forward volume rendering algorithm
Splatting: a parallel, feed-forward volume rendering algorithm
Hierarchical Poisson disk sampling distributions
Proceedings of the conference on Graphics interface '92
Real-time previewing for volume visualization
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Antialiasing through stochastic sampling
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
V-buffer: visible volume rendering
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Splatting of curvilinear volumes
VIS '95 Proceedings of the 6th conference on Visualization '95
AN ANALYSIS OF APPROACHES TO RAY-TRACING CURVILINEAR GRIDS
AN ANALYSIS OF APPROACHES TO RAY-TRACING CURVILINEAR GRIDS
Interactive splatting of nonrectilinear volumes
VIS '92 Proceedings of the 3rd conference on Visualization '92
Rapid exploration of curvilinear grids using direct volume rendering
VIS '93 Proceedings of the 4th conference on Visualization '93
VolVis: a diversified volume visualization system
VIS '94 Proceedings of the conference on Visualization '94
PRS '97 Proceedings of the IEEE symposium on Parallel rendering
An anti-aliasing technique for splatting
VIS '97 Proceedings of the 8th conference on Visualization '97
Parallel visualization of large-scale aerodynamics calculations: a case study on the Cray T3E
PVGS '99 Proceedings of the 1999 IEEE symposium on Parallel visualization and graphics
FastSplats: optimized splatting on rectilinear grids
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 hardware-assisted hybrid rendering technique for interactive volume visualization
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Proceedings of the conference on Visualization '01
Circular incident edge lists: a data structure for rendering complex unstructured grids
Proceedings of the conference on Visualization '01
A High Accuracy Volume Renderer for Unstructured Data
IEEE Transactions on Visualization and Computer Graphics
Splatting Errors and Antialiasing
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Accelerated splatting using a 3D adjacency data structure
GRIN'01 No description on Graphics interface 2001
Hardware-Accelerated Adaptive EWA Volume Splatting
VIS '04 Proceedings of the conference on Visualization '04
A Framework for Sample-Based Rendering with O-Buffers
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
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
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This paper extends the conventional splatting algorithm for volume rendering non rectilinear grids. A stochastic sampling technique called Poisson sphere/ellipsoid is employed to adaptively resample a non rectilinear grid with a set of randomly distributed points whose energy support extents are well approximated by spheres or ellipsoids. Then volume rendered images can be generated by splatting the scalar values at the new sample points with filter kernels corresponding to these spheres and ellipsoids. Experiments have been carried out to investigate the image quality as well as the time/space efficiency of the new approach, and the results suggest that our approach can be regarded as an alternative for existing fast volume rendering techniques of non rectilinear grids.