Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Visualizing geometric uncertainty of surface interpolants
GI '96 Proceedings of the conference on Graphics interface '96
Visualization Toolkit: An Object-Oriented Approach to 3-D Graphics
Visualization Toolkit: An Object-Oriented Approach to 3-D Graphics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
A Next Step: Visualizing Errors and Uncertainty
IEEE Computer Graphics and Applications
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
Point-Based Probabilistic Surfaces to Show Surface Uncertainty
IEEE Transactions on Visualization and Computer Graphics
Visualization of Global Correlation Structures in Uncertain 2D Scalar Fields
Computer Graphics Forum
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Visualizing the positional and geometrical variability of isosurfaces in uncertain scalar fields
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Interpreting marine controlled source electromagnetic field behaviour with streamlines
Computers & Geosciences
Nonparametric models for uncertainty visualization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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Characterization of the earth's subsurface involves the construction of 3D models from sparse data and so leads to simulation results that involve some degree of uncertainty. This uncertainty is often neglected in the subsequent visualization, due to the fact that no established methods or available software exist. We describe a visualization method to render scalar fields with a probability density function at each data point. We render these data as isosurfaces and make use of a colour scheme, which intuitively gives the viewer an idea of which parts of the surface are more reliable than others. We further show how to extract an envelope that indicates within which volume the isosurface will lie with a certain confidence, and augment the isosurfaces with additional geometry in order to show this information. The resulting visualization is easy and intuitive to understand and is suitable for rendering multiple distinguishable isosurfaces at a time. It can moreover be easily used together with other visualized objects, such as the geological context. Finally we show how we have integrated this into a visualization pipeline that is based on the Visualization Toolkit (VTK) and the open source scenegraph OpenSG, allowing us to render the results on a desktop and in different kinds of virtual environments.