Nonlinear Optical Image Filtering By Time-Sequential Threshold Decomposition

James M. Hereford; William T. Rhodes

doi:10.1117/12.7976670

1 April 1988 Nonlinear Optical Image Filtering By Time-Sequential Threshold Decomposition

James M. Hereford, William T. Rhodes

Author Affiliations +

Optical Engineering, Vol. 27, Issue 4, 274274 (April 1988). https://doi.org/10.1117/12.7976670

Abstract

Shape-changing, or morphological, transformations (e.g., erosion, dilation, median filtering, and other ranked-order filtering) on binary imagery can be obtained by optically convolving the input image with a disk or other binary spread function and thresholding the output. Gray-scale images can be processed if the input is decomposed into a sequence of binary "slices" by a variable thresholding operation (threshold decomposition). The slices undergo shape-changing transformations and are then added together to produce the output gray-scale image. Median filtering to remove "salt-and-pepper" noise from a gray-scale image is demonstrated. The use of gray-scale (as opposed to binary) convolution kernels allows extension of the method to a more general class of nonlinear filtering operations that includes stack filters.

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James M. Hereford and William T. Rhodes "Nonlinear Optical Image Filtering By Time-Sequential Threshold Decomposition," Optical Engineering 27(4), 274274 (1 April 1988). https://doi.org/10.1117/12.7976670

Published: 1 April 1988

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