Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th 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
Multiscale 3D edge representation of volume data by a DOG wavelet
VVS '94 Proceedings of the 1994 symposium on Volume visualization
A multiresolution framework for volume rendering
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Computer graphics (2nd ed. in C): principles and practice
Computer graphics (2nd ed. in C): principles and practice
Texture Features for Browsing and Retrieval of Image Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
View-dependent refinement of progressive meshes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
VVS '89 Proceedings of the 1989 Chapel Hill workshop on Volume visualization
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A practical evaluation of popular volume rendering algorithms
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Efficient high quality rendering of point sampled geometry
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Interactive visualization of unstructured grids using hierarchical 3D textures
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Space-time points: 4d splatting on efficient grids
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Proceedings of the conference on Visualization '01
Hybrid simplification: combining multi-resolution polygon and point rendering
Proceedings of the conference on Visualization '01
POP: a hybrid point and polygon rendering system for large data
Proceedings of the conference on Visualization '01
Optimal regular volume sampling
Proceedings of the conference on Visualization '01
Interactive rendering of large volume data sets
Proceedings of the conference on Visualization '02
PMR: point to mesh rendering, a feature-based approach
Proceedings of the conference on Visualization '02
A new object-order ray-casting algorithm
Proceedings of the conference on Visualization '02
High-Quality Splatting on Rectilinear Grids with Efficient Culling of Occluded Voxels
IEEE Transactions on Visualization and Computer Graphics
On Simulated Annealing and the Construction of Linear Spline Approximations for Scattered Data
IEEE Transactions on Visualization and Computer Graphics
Perceptually Optimized 3D Graphics
IEEE Computer Graphics and Applications
X-Ray Volume Rendering by Hierarchical Wavelet Splatting
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
Hardware-Accelerated Adaptive EWA Volume Splatting
VIS '04 Proceedings of the conference on Visualization '04
Statistical geometry representation for efficient transmission and rendering
ACM Transactions on Graphics (TOG)
Graphical Models - Special issue on PG2004
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
On visualization and reconstruction from non-uniform point sets using B-splines
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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This paper introduces a method for converting an image or volume sampled on a regular grid into a space-efficient irregular point hierarchy. The conversion process retains the original frequency characteristics of the dataset by matching the spatial distribution of sample points with the required frequency. To achieve good blending, the spherical points commonly used in volume rendering are generalized to ellipsoidal point primitives. A family of multiresolution, oriented Gabor wavelets provide the frequency-space analysis of the dataset. The outcome of this frequency analysis is the reduced set of points, in which the sampling rate is decreased in originally oversampled areas. During rendering, the traversal of the hierarchy can be controlled by any suitable error metric or quality criteria. The local level of refinement is also sensitive to the transfer function. Areas with density ranges mapped to high transfer function variability are rendered at higher point resolution than others. Our decomposition is flexible and can be used for iso-surface rendering, alpha compositing and X-ray rendering of volumes. We demonstrate our hierarchy with an interactive splatting volume renderer, in which the traversal of the point hierarchy for rendering is modulated by a user-specified frame rate.