ACM Siggraph Asia, 2015, Proceedings

AA Patterns for Point Sets with Controlled Spectral Properties

Abdalla G. M. Ahmed1       Hui Huang2       Oliver Deussen1,2


1University of Konstanz, Germany
2Shenzhen VisuCA Key Lab / SIAT, China



AA(183/112); morphed as (left-to-right): BNOT blue noise profile, FPO-like profile, step blue noise, green noise, and pink noise.



Abstract

We describe a novel technique for the fast production of large point sets with different spectral properties. In contrast to tile-based methods we use so-called AA Patterns: ornamental point sets obtained from quantization errors. These patterns have a discrete and structured number-theoretic nature, can be produced at very low costs, and possess an inherent structural indexing mechanism equivalent to those used in recursive tiling techniques. This allows us to generate, manipulate and store point sets very efficiently. The technique outperforms existing methods in speed, memory footprint, quality, and flexibility. This is demonstrated by a number of measurements and comparisons to existing point generation algorithms.


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