Fast tile-based adaptive sampling with user-specified Fourier spectra
Fast tile-based adaptive sampling with user-specified Fourier spectra
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DOI：
10.1145/2601097.2601107
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发表时间：
2014-07
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影响因子：
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通讯作者：
Florent Wachtel;Adrien Pilleboue;D. Coeurjolly;K. Breeden;G. Singh;Gaël Cathelin;F. D. Goes;M. Desbrun;V. Ostromoukhov
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作者：
Florent Wachtel;Adrien Pilleboue;D. Coeurjolly;K. Breeden;G. Singh;Gaël Cathelin;F. D. Goes;M. Desbrun;V. Ostromoukhov
我们介绍了一种快速的瓷砖为基础的方法，自适应二维采样与用户指定的光谱特性。在我们的方法的核心是一个确定性的，层次结构的自相似，等面积，tri-hex瓷砖的质心有一个空间分布的虚假的光谱峰。然后，使用任何现有的点集优化器离线计算的样本点的查找表来填充图块，以形成样本的傅立叶频谱。其结果是一个线性时间，自适应和高质量的任意密度函数的采样，符合所需的频谱分布，实现了几个数量级的速度提高，目前的频谱控制采样方法。
We introduce a fast tile-based method for adaptive two-dimensional sampling with user-specified spectral properties. At the core of our approach is a deterministic, hierarchical construction of self-similar, equi-area, tri-hex tiles whose centroids have a spatial distribution free of spurious spectral peaks. A lookup table of sample points, computed offline using any existing point set optimizer to shape the samples' Fourier spectrum, is then used to populate the tiles. The result is a linear-time, adaptive, and high-quality sampling of arbitrary density functions that conforms to the desired spectral distribution, achieving a speed improvement of several orders of magnitude over current spectrum-controlled sampling methods.