论文标题
沿希尔伯特曲线渲染
Rendering along the Hilbert Curve
论文作者
论文摘要
基于Pierre L'Ecuyer和合作者的Array-RQMC方法和Rank-1晶格序列的开创性工作，我们介绍了图像合成的有效确定性算法。沿着希尔伯特曲线叠加在图像像素的光栅上的希尔伯特曲线的低差异序列，我们实现了相对于人类视觉系统所需的噪声特性，尤其是在非常低的采样率下。与艺术的状态相比，我们的简单算法既不需要随机化，也不需要昂贵的优化，也不需要查找表。我们分析了填充空间曲线和低差异序列的相关性，并在专业的，大量平行的光传输模拟和渲染系统中证明了新算法的好处。
Based on the seminal work on Array-RQMC methods and rank-1 lattice sequences by Pierre L'Ecuyer and collaborators, we introduce efficient deterministic algorithms for image synthesis. Enumerating a low discrepancy sequence along the Hilbert curve superimposed on the raster of pixels of an image, we achieve noise characteristics that are desirable with respect to the human visual system, especially at very low sampling rates. As compared to the state of the art, our simple algorithms neither require randomization, nor costly optimization, nor lookup tables. We analyze correlations of space-filling curves and low discrepancy sequences, and demonstrate the benefits of the new algorithms in a professional, massively parallel light transport simulation and rendering system.
