An Evaluation of Prefiltered Reconstruction Schemes for Volume Rendering

Balázs Csébfalvi

Department of Control Engineering and Information Technology

Budapest University of Technology and Economics  

 

Catmull-Rom spline Premultiplied cubic B-spline Interpolating cubic B-spline

Abstract:

In this paper prefiltered reconstruction techniques are evaluated for volume-rendering applications. All the analyzed methods perform a discrete prefiltering as a preprocessing of the input samples in order to improve the quality of the continuous reconstruction afterwards. Various prefiltering schemes have been proposed to fulfill either spatial-domain or frequency-domain criteria. According to our best knowledge, however, their thorough comparative study has not been published yet. Therefore we derive the frequency responses of the different prefiltered reconstruction techniques to analyze their global behavior such as aliasing or smoothing. Furthermore, we introduce a novel mathematical basis to compare also their spatial-domain behavior in terms of the asymptotic local error effect. For the sake of fair comparison, we use the same linear and cubic B-splines as basis functions but combined with different discrete prefilters. Our goal with this analysis is to help the potential users to select the optimal prefiltering scheme for their specific applications.

Keywords:

Filtering, Sampling, Volume Visualization.

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