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Describing 1-D intensity transitions with Gaussian derivatives at the resolutions matching the transition widths

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2 Author(s)
van Warmerdam, W.L.G. ; Dept. of Electr. Eng. & Comput. Sci., California Univ., Davis, CA, USA ; Algazi, V.R.

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

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:11 ,  Issue: 9 )