In this paper we provide a specific construction method of ordered directionally monotone functions. We show that the functions obtained with this construction method can be used to build edge detectors for grayscale images. We compare the results of these detectors to those obtained with some other ones that are widely used in the literature. Finally, we show how a consensus edge detector can be built improving the results obtained both by our proposal and by those in the literature when applied individually.

中文翻译：

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边缘检测器构造中的有序方向单调性

在本文中，我们提供了有序定向单调函数的具体构造方法。我们表明，用这种构造方法获得的函数可用于为灰度图像构建边缘检测器。我们将这些检测器的结果与文献中广泛使用的其他一些检测器的结果进行比较。最后，我们展示了如何构建共识边缘检测器，以改进我们的建议和单独应用时文献中的结果。