Strict ordering on discrete images and applications

The paper investigates the definition of strict ordering relations on digital graylevel images. The information needed for strict ordering is extracted by a vectorial operator in the local context of each pixel. The paper focuses on ordering which refines the natural ordering defined on the lattice of integers: pixels having greater graylevel preserve inequality while equal graylevel pixels are differentiated. Applications in exact histogram specification, segmentation and image normalization are discussed.

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