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Verifying Volume Rendering Using Discretization Error Analysis
University of Utah, UT 84112 USA .
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-5220-633X
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, The Institute of Technology.
ATandT Labs Research, NJ 07932 USA .
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2014 (English)In: IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, E-ISSN 1941-0506, Vol. 20, no 1, 140-154 p.Article in journal (Refereed) Published
Abstract [en]

We propose an approach for verification of volume rendering correctness based on an analysis of the volume rendering integral, the basis of most DVR algorithms. With respect to the most common discretization of this continuous model (Riemann summation), we make assumptions about the impact of parameter changes on the rendered results and derive convergence curves describing the expected behavior. Specifically, we progressively refine the number of samples along the ray, the grid size, and the pixel size, and evaluate how the errors observed during refinement compare against the expected approximation errors. We derive the theoretical foundations of our verification approach, explain how to realize it in practice, and discuss its limitations. We also report the errors identified by our approach when applied to two publicly available volume rendering packages.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2014. Vol. 20, no 1, 140-154 p.
Keyword [en]
Discretization errors; volume rendering; verifiable visualization; verification; testing
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-103715DOI: 10.1109/TVCG.2013.90ISI: 000327960700013OAI: oai:DiVA.org:liu-103715DiVA: diva2:690711
Available from: 2014-01-24 Created: 2014-01-24 Last updated: 2017-12-06

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