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A fast thresholded linear convolution representation of morphological operations

In this correspondence, we present a fast thresholded linear convolution representation of morphological operations. The thresholded linear convolution representation of dilation and erosion is first proposed. A comparison of the efficiency of the direct implementation of morphological operations and the thresholded linear convolution representation of morphological operations is subsequently conducted. Mathematical morphology has emerged as a powerful new tool for image processing.