IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
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
SIAM Journal on Scientific Computing
Grouping and parameterizing irregularly spaced points for curve fitting
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
A Graphics Hardware-Based Vortex Detection and Visualization System
VIS '04 Proceedings of the conference on Visualization '04
Hierarchical Clustering for Unstructured Volumetric Scalar Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Interactively visualizing procedurally encoded scalar fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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
Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs
Journal of Computational Physics
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
Concurrent viewing of multiple attribute-specific subspaces
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
Interactive Feature Visualization and Detection for 3D Face Classification
International Journal of Cognitive Informatics and Natural Intelligence
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Data fitting independent of grid structure using a volumic version of MPU
Journal of Visualization
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Procedural encoding of scattered and unstructured scalar datasets using radial basis functions (RBFs) is an active area of research with great potential for compactly representing large data sets. This reduced storage requirement lets the compressed data sets completely reside in the local memory of the graphics card, enabling accurate and efficient processing and visualization without data transfer problems. The article presents a new hierarchical technique that effectively encodes data on arbitrary grids including volumetric scalar, vector, and multifield data. Once the RBF representation is transferred to texture memory, GPU-based visualization using particle advection, cutting planes, isosurfaces, and volume rendering can be performed by functional reconstruction of the encoded data in the fragment pipeline. By eliminating the need for storing and processing mesh information, this approach is particularly attractive for large scattered and irregular structured data sets, as well as data sets created by the emerging field of meshless simulation techniques.