【SIGGRAPH Asia 2012专题*技术论文】点和向量：基于对相关的点分布的分析与综合

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【SIGGRAPH Asia 2012专题*技术论文】
点和向量：基于对相关的点分布的分析与综合Analysis and Synthesis of Point Distributions based on Pair Correlation
A. Cengiz Öztireli, Markus Gross 摘要：分析和综合点分布的问题在广泛的计算机图形学中至关重要。现有的合成算法一直专注于探索分布之间的关系，只能产生白色或蓝色的噪声，分布特性取决于所使用的基本过程和分析工具。我们提出了一个统一的分析与一般合成算法的点分布。我们采用我们的方法和设计合成的算法，可以产生分布与给定的目标特征，可能是从一个点集的例子中提取的基础上，并引入一个统一的分布特性，将它们映射到一个空间所隐含的对关联。该算法接受的例子，输出点设置不同的规格和尺寸，适用于多类分布和非欧几里德域，运行在O（n）的时间上实现简单。Abstract：Analyzing and synthesizing point distributions are of central importance for a wide range of problems in computer graphics. Existing synthesis algorithms can only generate white or blue-noise distributions with characteristics dictated by the underlying processes used, and analysis tools have not been focused on exploring relations among distributions. We propose a unified analysis and general synthesis algorithms for point distributions. We employ the pair correlation function as the basis of our methods and design synthesis algorithms that can generate distributions with given target characteristics, possibly extracted from an example point set,and introduce a unified characterization of distributions by mapping them to a space implied by pair correlations. The algorithms accept example and output point sets of different sizes and dimensions, are applicable to multi-class distributions and non-Euclidean domains, simple to implement and&nbsp***n in O(n) time. We illustrate applications of our method to real world distributions. 要了解该论文的详情呢，就下载附件好好研究一下哈~更多新技术分享尽在web3D纳金网http://www.narkii.com/