Edge detection through residual analysis

The authors provide theoretical justification for the use of zero crossings of residuals (between a filtered image and the original) for edge detection. The smoothed version is obtained by bilinear interpolation as a result of two-dimensional discrete regularization of subsampled images. The method is also applicable to smoothed images obtained by convolution with a Gaussian. Examples of applications of the method are shown for three kinds of pictures: aerial photographs, low-quality pictures of tools, and a high-quality picture of a face. The same parameters are used in all the examples. In addition they show examples of the results of one of the Canny edge detectors on the same pictures.<
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