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arXiv 1509.02491cs.CVcs.ITmath.COmath.IT
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负权边缘增强滤波器

Edge-enhancing Filters with Negative Weights

Mitsubishi Electric Research Laboratories(三菱电机研究实验室)

Andrew Knyazev

摘要:

在[DOI:10.1109/ICMEW.2014.6890711]中,通过将噪声图像投影到图拉普拉斯算子的较低维Krylov子空间来执行基于图的去噪,该子空间使用由对应于图像像素的图像数据之间的距离确定的非负权重来构造。本文将图拉普拉斯算子的构造推广到某些图权可以为负的情况。去除正性约束提供了对数据背后的图模型的更准确的推断,并且因此可以提高用于基于图的信号处理的滤波器的质量,例如,去噪,与标准施工相比,不影响成本。

英文摘要:

In [DOI:10.1109/ICMEW.2014.6890711], a graph-based denoising is performed by projecting the noisy image to a lower dimensional Krylov subspace of the graph Laplacian, constructed using nonnegative weights determined by distances between image data corresponding to image pixels. We~extend the construction of the graph Laplacian to the case, where some graph weights can be negative. Removing the positivity constraint provides a more accurate inference of a graph model behind the data, and thus can improve quality of filters for graph-based signal processing, e.g., denoising, compared to the standard construction, without affecting the costs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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