title: Verifying volume rendering using discretization error analysis.
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.
authors.affiliation: University of Utah, Salt Lake City.
authors.forename: Tiago
authors.initials: T
authors.lastname: Etiene
authors.forename: Daniel
authors.initials: D
authors.lastname: Jönsson
authors.forename: Timo
authors.initials: T
authors.lastname: Ropinski
authors.forename: Carlos
authors.initials: C
authors.lastname: Scheidegger
authors.forename: João L D
authors.initials: JL
authors.lastname: Comba
authors.forename: Luis Gustavo
authors.initials: LG
authors.lastname: Nonato
authors.forename: Robert M
authors.initials: RM
authors.lastname: Kirby
authors.forename: Anders
authors.initials: A
authors.lastname: Ynnerman
authors.forename: Cláudio T
authors.initials: CT
authors.lastname: Silva