Abstract
Thresholdings and umbrae are essential in the development of mathematical morphology on numerical functions, however, they are not employed in the previous development of mathematical morphology on l-images. In the first part of this paper, we give an alternative to characterize morphological operations on l-images originated from thresholding and umbraic approaches.
In morphological image and signal processing, morphological gradients or residues, hit-or-miss transforms, and morphological skeletons are essential notions. In the second part of this paper, we propose the notions of residuals and surpluses of l-images, then we define morphological residuals and surpluses, hit-or-miss transforms and their duals, and morphological skeletons on l-images.
This work was supported by the National Science Council, Republic of China, under grant NSC82-0408-E009-437.
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© 1994 Springer Science+Business Media Dordrecht
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Hsueh, Y.C. (1994). Thresholdings, Umbrae, Residuals, and Surpluses of L-Images. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_4
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DOI: https://doi.org/10.1007/978-94-011-1040-2_4
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