Delta-sigma conversion for graph signals <ce:cross-ref refid='fn1'> <ce:sup loc='post'>*</ce:sup> </ce:cross-ref> <ce:footnote id='fn1'> <ce:label>*</ce:label> <ce:note-para id='npara0001' view='all'>This work was partly supported by Grant-in-Aid for Challenging Exploratory Research #16K14283 from the Ministry of Education, Culture, Sports, Science, and Technology of Japan.</ce:note-para> </ce:footnote>

N. Imoda; S. Azuma; T. Kitao; T. Sugie

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This work was partly supported by Grant-in-Aid for Challenging Exploratory Research #16K14283 from the Ministry of Education, Culture, Sports, Science, and Technology of Japan.

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Delta-sigma conversion for graph signals * * This work was partly supported by Grant-in-Aid for Challenging Exploratory Research #16K14283 from the Ministry of Education, Culture, Sports, Science, and Technology of Japan.

机译：图形信号的Delta-sigma转换 * * 这项工作部分获得了Grant-in-Aid的挑战性探索性研究的支持＃16K14283日本教育，文化，体育，科学和技术省。

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In this paper, we establish a framework of delta-sigma conversion of graph signals. First, we define delta-sigma conversion for graph signals by considering the corresponding conversion for standard time series signals. We next propose a conversion method based on spanning in-tree, for which it is proven that the method satisfies the conditions for delta-sigma conversion. The proposed method is demonstrated by numerical examples and application to halftone image processing.

机译：在本文中，我们建立了图信号的delta-sigma转换框架。首先，我们通过考虑标准时间序列信号的相应转换来定义图形信号的delta-sigma转换。接下来，我们提出一种基于生成树的转换方法，为此证明了该方法满足delta-sigma转换的条件。数值实例证明了该方法的有效性，并将其应用于半色调图像处理中。

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《IFAC PapersOnLine》 |2017年第1期|共5页
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N. Imoda; S. Azuma; T. Kitao; T. Sugie;
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中图分类自动化技术、计算机技术;
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1. Delta-sigma conversion for graph signals * * This work was partly supported by Grant-in-Aid for Challenging Exploratory Research #16K14283 from the Ministry of Education, Culture, Sports, Science, and Technology of Japan. [J] . N. Imoda, S. Azuma, T. Kitao, IFAC PapersOnLine . 2017,第1期

机译：图形信号的Delta-sigma转换 * * 这项工作部分获得了Grant-in-Aid的挑战性探索性研究的支持＃16K14283日本教育，文化，体育，科学和技术省。
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Delta-sigma conversion for graph signals * * This work was partly supported by Grant-in-Aid for Challenging Exploratory Research #16K14283 from the Ministry of Education, Culture, Sports, Science, and Technology of Japan.

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