The definition and rendering of terrain maps
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Fractals everywhere
Ray tracing deterministic 3-D fractals
SIGGRAPH '89 Proceedings of the 16th 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
Efficient antialiased rendering of 3-D linear fractals
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
A review of the fractal image compression literature
ACM SIGGRAPH Computer Graphics
Construction of fractal objects with iterated function systems
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Harnessing chaos for image synthesis
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Data Structures and Algorithms
Data Structures and Algorithms
Generation and display of geometric fractals in 3-D
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
VERITY VISUALIZATION: VISUAL MAPPINGS
VERITY VISUALIZATION: VISUAL MAPPINGS
Validation, verification and evaluation
VIS '94 Proceedings of the conference on Visualization '94
A fast Gibbs sampler for synthesizing constrained fractals
Proceedings of the 7th conference on Visualization '96
UFLOW: visualizing uncertainty in fluid flow
Proceedings of the 7th conference on Visualization '96
Procedural annotation of uncertain information
Proceedings of the conference on Visualization '00
Probabilistic surfaces: point based primitives to show surface uncertainty
Proceedings of the conference on Visualization '02
IEEE Transactions on Visualization and Computer Graphics
A Fast Gibbs Sampler for Synthesizing Constrained Fractals
IEEE Transactions on Visualization and Computer Graphics
Distributed Virtual Environment for Intravascular Tele-surgery Using Multimedia Tele-communication
VRAIS '96 Proceedings of the 1996 Virtual Reality Annual International Symposium (VRAIS 96)
Point-Based Probabilistic Surfaces to Show Surface Uncertainty
IEEE Transactions on Visualization and Computer Graphics
New interpolation method with fractal curves
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
Volume rendering data with uncertainty information
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
A software tool to visualize soil moisture dynamics of an irregular-shaped profile
Computers & Geosciences
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Reconstruction is used frequently in visualization of one, two, and three--dimensional data. Data uncertainty is typically ignored, and a deficiency of many interpolation schemes is smoothing which may indicate features or characteristics of the data that are not there. In this paper I investigate the use of iterated function systems (IFS's) for interpolation. I show new derivations for fractal interpolation in two and three-dimensional scalar data, and new point and polytope rendering algorithms with tremendous speed advantages over ray tracing. The interpolations may be used to give an indication of the uncertainty of the data, statistically represent the data at a variety of scales, allow tunability from the data, and may allow more accurate data analysis.