Stair blue noise sampling

Bhavya Kailkhura, Jayaraman J. Thiagarajan, Peer Timo Bremer, Pramod K. Varshney

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A common solution to reducing visible aliasing artifacts in image reconstruction is to employ sampling patterns with a blue noise power spectrum. These sampling patterns can prevent discernible artifacts by replacing them with incoherent noise. Here, we propose a new family of blue noise distributions, Stair blue noise, which is mathematically tractable and enables parameter optimization to obtain the optimal sampling distribution. Furthermore, for a given sample budget, the proposed blue noise distribution achieves a significantly larger alias-free low-frequency region compared to existing approaches, without introducing visible artifacts in the mid-frequencies. We also develop a new sample synthesis algorithm that benefits from the use of an unbiased spatial statistics estimator and efficient optimization strategies.

Original languageEnglish (US)
Article number248
JournalACM Transactions on Graphics
Issue number6
StatePublished - Nov 2016


  • Anti-aliasing
  • Blue noise
  • Pair correlation function
  • Sampling

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design


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