Generation of Stratified Samples for B-Spline Pixel Filtering
Generation of Stratified Samples for B-Spline Pixel Filtering
复制标题
生成用于 B 样条像素过滤的分层样本
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
M. Ashikhmin
中科院分区：
文献类型：
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作者：
Michael M. Stark;P. Shirley;M. Ashikhmin
B 样条滤波器内核已被证明在许多像素采样应用中非常有用。宽度为四个像素的三次 B 样条滤波器内核特别有效。在分布光线追踪中，通过使采样密度与滤波器值成比例来隐式评估像素滤波器。在这项工作中，我们提出了一种简单的方法来生成具有基础 B 样条密度函数的随机样本。为了减少误差，对样本进行分层非常重要，类似于均匀采样的抖动。我们提供了一种代数和数值技术来对 1、2 和 3 阶 B 样条核执行此操作。
B-spline filter kernels have proved useful in many pixel-sampling applications. A cubic B-spline filter kernel, having a width of four pixels, is particularly effective. In distribution ray tracing, pixel filters are evaluated implicitly by having the density of sampling proportional to the filter value. In this work we present a simple method to generate random samples having an underlying B-spline density function. To reduce error it is important to stratify the samples, akin to jittering for uniform sampling. We provide an algebraic and a numerical technique for doing this for B-spline kernels of degree 1, 2, and 3.