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<p>A full description of image edges requires a complete characterization of their local intensity transitions, the spatial structure of those transitions, and a description of adjacent image regions. The authors propose, as a step toward this end, a 1-D algorithm for describing local intensity transitions by their Gaussian derivatives at a resolution where the support of the Gaussian smoothing matches their widths (blur). The algorithm estimates the transition width from the second derivative of 1-D Gaussian response zero-crossing slope and leads to a characterization of the transition with its first three derivatives at the resolution matching the width. The authors describe how this algorithm can be applied to images and give an example.</p>
edge detection; width matching; 1D intensity transition; picture processing; pattern recognition; Gaussian derivatives; spatial structure; transition width; zero-crossing slope; pattern recognition; picture processing

W. van Warmerdam and V. Algazi, "Describing 1-D Intensity Transitions with Gaussian Derivatives at the Resolutions Matching the Transition Widths," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 11, no. , pp. 973-977, 1989.
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