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Van Herk has shown that the erosion/dilation operator with a linear structuring element of an arbitrary length can be implemented in only 3 min/max operations per pixel. In this paper, the algorithm is generalized to erosions and dilations along discrete lines at arbitrary angles. We also address the padding problem; so that the operation can be performed in place without copying the pixels to and from an intermediate bu er. Applications to image ltering and to radial decompositions of discs are presented.

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