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    Continuous-Line-Based Halftoning with Pinwheel Tiles
    (The Eurographics Association, 2020) Ahmed, Abdalla G. M.; Ritsos, Panagiotis D. and Xu, Kai
    We describe a technique for continuous-line-based halftoning with space-filling curves, namely Segerman's pinwheel curve, which is based on Conway's pinwheel tiles. We adapt the length of the curve passing through the tiles in accordance with a supplied density map, e.g. a grayscale image. We use the subdivision depth of the tiling for a coarse control of the curve length, and we describe a finer control to faithfully match the density map. Our technique exhibits excellent temporal coherence, making it suitable for animated images.
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    Sampling with Pinwheel Tiles
    (The Eurographics Association, 2019) Ahmed, Abdalla G. M.; Vidal, Franck P. and Tam, Gary K. L. and Roberts, Jonathan C.
    We outline an adaptive sampling framework based on Conway's pinwheel tiles. It offers a unique feature that the generated tiles have infinite number of orientation angles, minimizing the strong auto-correlations found on all other lookup-sampling frameworks. We describe a novel string-based approach to enumerate distinct neighbor configurations in pinwheel tiles.