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Browsing Eurographics Local Chapter Events by Author "Ahmed, Abdalla G. M."
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Item Capacity Constrained Voronoi Tessellation Revisited(The Eurographics Association, 2017) Ahmed, Abdalla G. M.; Deussen, Oliver; Tao Ruan Wan and Franck VidalCapacity Constrained Voronoi Tessellation is an important concept that greatly influenced recent research on point sampling. The original concept was based on discretizing the sampled domain, and the algorithm was prohibitively slow, even with some proposed accelerations. We present a few improvements that make a real difference in the speed of the algorithm, bringing it back into presence.Item Colored AA Bitmaps(The Eurographics Association, 2017) Ahmed, Abdalla G. M.; Deussen, Oliver; Tao Ruan Wan and Franck VidalAA Bitmaps are ornamental monochrome bitmaps. We present an algorithm for colorizing a certain family of AA Bitmaps that relies on modular arithmetics.Item Continuous-Line-Based Halftoning with Pinwheel Tiles(The Eurographics Association, 2020) Ahmed, Abdalla G. M.; Ritsos, Panagiotis D. and Xu, KaiWe 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.Item 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.Item Voronoi Tree Maps with Circular Boundaries(The Eurographics Association, 2018) Ahmed, Abdalla G. M.; {Tam, Gary K. L. and Vidal, FranckVoronoi tree maps are an important milestone in information visualization, representing a substantial advancement of the original tree maps concept. We address a less-studied variant of Voronoi tree maps that uses multiplicative-weighted Voronoi diagrams. We highlight the merits of this variant, and discuss the difficulties that might have discouraged further exploration, proposing insights for overcoming these difficulties.