Bilateral blue noise sampling

  • Authors:

  • Jiating Chen;Xiaoyin Ge;Li-Yi Wei;Bin Wang;Yusu Wang;Huamin Wang;Yun Fei;Kang-Lai Qian;Jun-Hai Yong;Wenping Wang

  • Affiliations:

  • Tsinghua University;The Ohio State University;The University of Hong Kong and Microsoft Research;Tsinghua University;The Ohio State University;The Ohio State University;Tsinghua University;Tsinghua University;Tsinghua University;The University of Hong Kong

  • Venue:
  • ACM Transactions on Graphics (TOG)
  • Year:
  • 2013

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Abstract

Blue noise sampling is an important component in many graphics applications, but existing techniques consider mainly the spatial positions of samples, making them less effective when handling problems with non-spatial features. Examples include biological distribution in which plant spacing is influenced by non-positional factors such as tree type and size, photon mapping in which photon flux and direction are not a direct function of the attached surface, and point cloud sampling in which the underlying surface is unknown a priori. These scenarios can benefit from blue noise sample distributions, but cannot be adequately handled by prior art. Inspired by bilateral filtering, we propose a bilateral blue noise sampling strategy. Our key idea is a general formulation to modulate the traditional sample distance measures, which are determined by sample position in spatial domain, with a similarity measure that considers arbitrary per sample attributes. This modulation leads to the notion of bilateral blue noise whose properties are influenced by not only the uniformity of the sample positions but also the similarity of the sample attributes. We describe how to incorporate our modulation into various sample analysis and synthesis methods, and demonstrate applications in object distribution, photon density estimation, and point cloud sub-sampling.