广义抽样的新认识

IF 3.8 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Foundations and Trends in Computer Graphics and Vision Pub Date : 2014-02-14 DOI:10.1561/0600000053
Diego F. Nehab, Hugues Hoppe
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引用次数: 19

摘要

离散化和重构是计算机图形学中的基本操作,实现了采样和连续表示之间的转换。信号处理研究的主要进展表明,通过将滤波器分解为两部分:紧支持的连续域函数和数字滤波器,通常可以更有效地执行这些操作。这种“广义抽样”策略出现在一些图形论文中,但在我们的社区中基本上没有被探索过。本文概括地总结了框架的关键方面,并深入研究了图形学中的具体应用。使用新的符号,我们简明地介绍和扩展了几个关键技术。此外,我们展示了预滤波在图像降尺度和基于超样本的渲染中的好处,并对相关的方差减少进行了分析。最后对传统滤波器和广义滤波器进行了定性和定量的比较。
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A Fresh Look at Generalized Sampling
Discretization and reconstruction are fundamental operations in computer graphics, enabling the conversion between sampled and continuous representations. Major advances in signal-processing research have shown that these operations can often be performed more efficiently by decomposing a filter into two parts: a compactly supported continuous-domain function and a digital filter. This strategy of "generalized sampling" has appeared in a few graphics papers, but is largely unexplored in our community. This paper broadly summarizes the key aspects of the framework, and delves into specific applications in graphics. Using new notation, we concisely present and extend several key techniques. In addition, we demonstrate benefits for prefiltering in image downscaling and supersample-based rendering, and present an analysis of the associated variance reduction. We conclude with a qualitative and quantitative comparison of traditional and generalized filters.
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来源期刊
Foundations and Trends in Computer Graphics and Vision
Foundations and Trends in Computer Graphics and Vision COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-
CiteScore
31.20
自引率
0.00%
发文量
1
期刊介绍: The growth in all aspects of research in the last decade has led to a multitude of new publications and an exponential increase in published research. Finding a way through the excellent existing literature and keeping up to date has become a major time-consuming problem. Electronic publishing has given researchers instant access to more articles than ever before. But which articles are the essential ones that should be read to understand and keep abreast with developments of any topic? To address this problem Foundations and Trends® in Computer Graphics and Vision publishes high-quality survey and tutorial monographs of the field. Each issue of Foundations and Trends® in Computer Graphics and Vision comprises a 50-100 page monograph written by research leaders in the field. Monographs that give tutorial coverage of subjects, research retrospectives as well as survey papers that offer state-of-the-art reviews fall within the scope of the journal.
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