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The Visual Computer

, Volume 31, Issue 10, pp 1365–1381 | Cite as

Direct blue noise resampling of meshes of arbitrary topology

  • Jean-Luc Peyrot
  • Frédéric Payan
  • Marc Antonini
Original Article

Abstract

We propose in this paper a novel sampling method and an improvement of a spectral analysis tool that both handle complex shapes and sharp features. Starting from an arbitrary triangular mesh, our algorithm generates a new sampling pattern that exhibits blue noise properties. The fidelity to the original surface being essential, our algorithm preserves sharp features. Our sampling is based on a discrete dart throwing applied directly on the surface to get good blue noise sampling patterns. It is also driven by a feature detection tool to avoid geometric aliasing. Experimental results prove that our sampling scheme is faster than techniques based on brute-force dart throwing, and produces sampling patterns with blue noise properties even for complex surfaces of arbitrary topology. In parallel, we also propose an improvement of a tool initially developed for the spectral analysis of non-uniform sampling patterns, that may generate biased results with complex shapes. The proposed improvement overcomes this problem.

Keywords

Blue noise Sampling Sampling analysis Feature-preservation  

Notes

Acknowledgments

We are particularly grateful to Mr. Paolo Cignoni and Miss Ruizhen Hu for answering our questions and sending us several data for our comparisons. We also thank Mr. Li-Yi Wei and Mr. Rui Wang for providing us with their executable. We also would like to thank Leonardo Hidd Fonteles for his help on Dijkstra’s implementation.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Jean-Luc Peyrot
    • 1
  • Frédéric Payan
    • 1
  • Marc Antonini
    • 1
  1. 1.Laboratory I3SUniversity Nice, Sophia Antipolis, CNRS (UMR 7271)Sophia AntipolisFrance

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