Spherical Sampling by Archimedes' Theorem

Spherical Sampling by Archimedes' Theorem
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根据阿基米德定理进行球形采样

DOI:
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发表时间:
1996
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影响因子:
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通讯作者:
N. Badler
N. Badler
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文献类型:
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作者:
Min;N. Badler

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本文基于阿基米德定理,提出了一种生成单位球面上均匀分布样本的简单有效的算法。该实现很简单,并且可以很容易地扩展到包括分层抽样以减少方差。在图像合成中的应用包括立体角度测量、辐照度计算和几何复杂环境的渲染方程求解。
In this paper we present a simple and efficient algorithm for generating uniformaly distributed samples on the unit sphere based on an Archimedes' theorem. The implementation is straightforward and may be easily extended to include stratified sampling for variance reduction. Applications in image synthesis include solid angle measurement, irradiance computation, and rendering equation solution for geometrically complex environments.