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Issue No.01 - Jan. (2014 vol.20)

pp: 140-154

Tiago Etiene , Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA

Daniel Jonsson , Campus Norrkoping, Linkopings Univ., Norrkoping, Sweden

Timo Ropinski , Campus Norrkoping, Linkopings Univ., Norrkoping, Sweden

Carlos Scheidegger , AT&T Labs.-Res., Florham Park, NJ, USA

Joao L. D. Comba , Univ. Fed. do Rio Grande do Sul, Porto Alegre, Brazil

Luis Gustavo Nonato , Depto Mat. Aplic. e Estatistica-ICMC/USP, Univ. de Sao Paulo, Sao Carlos, Brazil

Robert M. Kirby , Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA

Anders Ynnerman , Campus Norrkoping, Linkopings Univ., Norrkoping, Sweden

Claudio T. Silva , Center for Urban Sci. & Progress, New York Univ., Brooklyn, NY, USA

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2013.90

ABSTRACT

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.

INDEX TERMS

Rendering (computer graphics), Volume measurements, Error analysis, Testing,testing, Discretization errors, volume rendering, verifiable visualization, verification

CITATION

Tiago Etiene, Daniel Jonsson, Timo Ropinski, Carlos Scheidegger, Joao L. D. Comba, Luis Gustavo Nonato, Robert M. Kirby, Anders Ynnerman, Claudio T. Silva, "Verifying Volume Rendering Using Discretization Error Analysis",

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