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首页> 外文期刊>IEEE Transactions on Image Processing >Blue-noise halftoning for hexagonal grids
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Blue-noise halftoning for hexagonal grids

机译：六角形网格的蓝噪声半色调

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摘要

In this paper, we closely scrutinize the spatial and spectral properties of aperiodic halftoning schemes on rectangular and hexagonal sampling grids. Traditionally, hexagonal sampling grids have been shunned due to their inability to preserve the high-frequency components of blue-noise dither patterns at gray-levels near one-half, but as will be shown, only through the introduction of diagonal correlations between dots can even rectangular sampling grids preserve these frequencies. And by allowing the sampling grid to constrain the placement of dots, a particular algorithm may introduce visual artifacts just as disturbing as excess energy below the principal frequency. If, instead, the algorithm maintains radial symmetry by introducing a minimum degree of clustering, then that algorithm can maintain its grid defiance illusion fundamental to the spirit of the blue-noise model. As such, this paper shows that hexagonal grids are preferrable because they can support gray-levels near one-half with less required clustering of minority pixels and a higher principal frequency. Along with a thorough Fourier analysis of blue-noise dither patterns on both rectangular and hexagonal sampling grids, this paper also demonstrates the construction of a blue-noise dither array for hexagonal grids. EDICS: 4-QUAN Quantization and Halftoning.
机译：在本文中，我们仔细检查了矩形和六角形采样网格上非周期性半色调方案的空间和光谱特性。传统上，六角形采样网格由于无法将蓝噪声抖动模式的高频分量保持在接近一半的灰度水平而被避开，但是正如将显示的那样，只有通过引入点之间的对角相关性才能即使矩形采样网格也可以保留这些频率。并且通过允许采样网格约束点的放置，特定算法可能会引入视觉伪影，就像低于主频率的多余能量一样令人不安。相反，如果该算法通过引入最小程度的聚类来保持径向对称性，则该算法可以维持其对蓝噪声模型的本质至关重要的网格违抗幻觉。因此，本文显示六边形网格是可取的，因为它们可以支持接近一半的灰度级，而较少的少数像素聚类和较高的主频率。除了对矩形和六边形采样网格上的蓝噪声抖动模式进行彻底的傅立叶分析外，本文还演示了六边形网格的蓝噪声抖动阵列的构造。 EDICS：4-QUAN量化和半色调。

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