Edge Detection on Interval-Valued Images

A digital image is an approximation of some real situation, and carries some uncertainty. In this work we model the ambiguity related to the brightness by associating an interval with each pixel, instead of a scalar brightness value. Then we adapt the Sobel method for edge detection to the new conditions of the image, leading to a representation of the edges in the shape of an interval-valued fuzzy set. To conclude, we illustrate the performance of the method and perform a qualitative comparison with the classical Sobel method on grayscale images.

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