Generalized ART-Owen Scrambling

Ahmed, Abdalla G. M. and Wang, Cheng ORCID: https://orcid.org/0000-0003-4711-4534 (2026) Generalized ART-Owen Scrambling. In: Computer Graphics & Visual Computing (CGVC) 2026. UNSPECIFIED. ISBN 978-3-03868-319-3

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Abstract

Owen scrambling is a widely used randomization technique for sampling distributions in quasi-Monte Carlo applications such as rendering. ART-Owen scrambling is a flexible and scalable algorithm for implementing binary Owen scrambling, leveraging the binary structure of Adaptive Regular Tiles (ART). In this formulation, scrambling data is dynamically composed over a static ART tree. Q-ART Owen scrambling extends the approach to base 4 by factoring the 4! possible permutations into affine transformations that are easier to compose over the ART tree. We further extend the model to higher power-of-2 bases using a similar factorization into two components, and discuss a few implementation alternatives.

Item Type:	Book Section
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Colour and Imaging Lab Faculty of Science > Research Groups > Data Science and AI
Depositing User:	LivePure Connector
Date Deposited:	01 Jun 2026 11:03
Last Modified:	18 Jun 2026 22:20
URI:	https://ueaeprints.uea.ac.uk/id/eprint/103216
DOI:	10.2312/cgvc.20261017

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