Abstract
We investigate relations between halftoning and the binary image algebra which includes set and morphological operations. We show that halftoning has important commutative properties with respect to unions, intersections, Minkowski additions and subtractions. Based on this fact a novel approach to implementation of 3-dimensional optical image processing through manipulating 2-dimensional images is proposed.
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
O. Bryngdahl, Halftone images: spatial resolution and tone reproduction, Journal of Optical Society of America, 68, pp. 416 (1978).
A. K. Cherri, A. A. S. Awwal, M. A. Karim, Morphological transformations based on optical symbolic substitution and polarization-encoded optical shadowcasting systems, Optics Communications, 82(5,6), 441–445 (1991).
D. Casasent, E. C. Botha, Optical symbolic substitution for morphological transformations, Applied Optics, 27(18), 3806–3810 (1988).
S. R. Dashiell, A. A. Sawchuk, Nonlinear optical processing: nonmonotonic halftone cells and phase halftones, Applied Optics, 16(7), 1936–1943 (1977).
K. S. Huang, B. K. Jenkins, A. A. Sawchuk, Binary image algebra and optical cellular logic processor design, Computer Vision, Graphics, and Image Processing, 45, 295–345 (1989).
H. Kato, J. W. Goodman, Nonlinear filtering in coherent optical systems through halftone screen processes, Applied Optics, 14(8), 1813–1824 (1975).
H. K. Liu, Coherent optical analog-to-digital conversion using a single halftone photograph, Applied Optics, 17(14), 2181–2185 (1978).
Y. Li, A. Kostrzewski, D. H. Kim, G. Eichmann, Compact parallel real-time programmable optical morphological image processor, Optics Letters, 14(18), 981–983 (1989).
F. Preparata, M. Shamos, Computational geometry: An Introduction, Springer-Verlag, 1985.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Karasik, Y.B. (1995). On commutative properties of halftoning and their applications. In: Braccini, C., DeFloriani, L., Vernazza, G. (eds) Image Analysis and Processing. ICIAP 1995. Lecture Notes in Computer Science, vol 974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60298-4_304
Download citation
DOI: https://doi.org/10.1007/3-540-60298-4_304
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60298-9
Online ISBN: 978-3-540-44787-0
eBook Packages: Springer Book Archive