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- W2047732401 abstract "We provide in this paper a link between two methods of edge detection: edge detection using scale-space analysis, and edge detection using topological asymptotic analysis. More precisely, we show that the topological gradient associated with an image $$u$$ is given by a combination of the gradients of two smoothed versions of the image $$u$$ at two different scales, namely $$varphi star u$$ and $$(varphi star varphi )star u$$ , where $$varphi $$ is the fundamental solution of the elliptic restoration equation. In the same setting, we propose a new edge detector based on the maximization of the variance of the image. Then we extend our approach to Gaussian kernels through a topological asymptotic analysis of the parabolic heat equation. A numerical comparison of these detectors together with the Canny edge detector is presented." @default.
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- W2047732401 date "2015-01-23" @default.
- W2047732401 modified "2023-10-12" @default.
- W2047732401 title "Edge Detection Using Topological Gradients: A Scale-Space Approach" @default.
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- W2047732401 doi "https://doi.org/10.1007/s10851-015-0558-z" @default.
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