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Reducing Interpolation Artifacts by Globally Fairing Contours

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Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Summary

We propose an iterative fairing method for scalar fields reducing the artifacts of bi- and trilinear interpolation. Our method reconstructs a two-dimensional scalar field from interpolation constraints optimizing the smoothness of its contours (isolines) based on vari- ational principles. It generalizes to the trivariate case and is used to increase the quality of data sets employing a cubic B-spline representation. In contrast to filtering methods, our ap- proach preserves the level of detail, enhancing features supported by the data while reducing interpolation artifacts.

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Authors and Affiliations

  1. TU Kaiserslautern, FB Informatik, P.O. Box 3049, 67653, Kaiserslautern, Germany

    Martin Bertram & Hans Hagen

Authors
  1. Martin Bertram
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  2. Hans Hagen
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Editor information

Editors and Affiliations

  1. School of Computing Science, Simon Fraser University, 8888 University Drive, Burnaby, BC, V5A 1S6, Canada

    Torsten Möller  & Robert D. Russell  & 

  2. Department of Computer Science, University of California, Davis, 1 Shields Avenue, Davis, CA, 95616-8562, USA

    Bernd Hamann

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Bertram, M., Hagen, H. (2009). Reducing Interpolation Artifacts by Globally Fairing Contours. In: Möller, T., Hamann, B., Russell, R.D. (eds) Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b106657_13

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