能量边缘探测器的性质

P. Kube
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引用次数: 11

摘要

作者介绍了一个研究能量边缘检测器性质的框架,并利用它得到了一些有趣的结果。他给出了二次型检波器中组成线性滤波器形式的一个必要条件,并证明了这种检波器的一些局限性。结果表明,二次型检测器不能同时检测到正弦波和余弦波在0处的边缘,这对使用空间局部滤波器检测窄带边缘具有重要意义。研究还表明,能量探测器的尺度空间行为不是很好,因为随着尺度的增加,它包含分岔,即随着图像的平滑,可以创建新的边缘。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Properties of energy edge detectors
The author introduces a framework for investigating the properties of energy edge detectors and uses it to derive some results of interest. He shows a necessary condition on the form of constituent linear filters in quadratic detectors, subject to some conditions, and demonstrates some limitations of such detectors. It is shown that no quadratic detector can detect an edge at 0 for both a sinewave and a cosine wave, which has implications for detecting narrowband edges with spatially local filters. It is also shown that the scale-space behavior of energy detectors is not well-behaved, in that it contains bifurcations as scale increases, i.e. new edges can be created as the image is smoothed.<>
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