Journal ArticleDOI
Binary image algebra and optical cellular logic processor design
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TLDR
A binary image algebra (BIA), built from five elementary images and three fundamental operations, serves as its software and leads to a formal parallel language approach to the design of parallel binary image processing algorithms.Abstract:
Techniques for digital optical cellular image processing are presented. A binary image algebra (BIA), built from five elementary images and three fundamental operations, serves as its software and leads to a formal parallel language approach to the design of parallel binary image processing algorithms. Its applications and relationships with other computing theories demonstrate that BIA is a powerful systematic tool for formalizing and analyzing parallel algorithms. Digital optical cellular image processors (DOCIPs), based on cellular automata and cellular logic architectures, serve as its hardware and implement parallel binary image processing tasks efficiently. An algebraic structure provides a link between the algorithms of BIA and architectures of DOCIP. Optical computing suggests an efficient and high-speed implementation of the DOCIP architectures because of its inherent parallelism and 3D global free interconnection capabilities. Finally, the instruction set and the programming of the DOCIPs are illustrated.read more
Citations
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Journal ArticleDOI
Morphological systems for multidimensional signal processing
Petros Maragos,R. Schafer +1 more
TL;DR: The basic theory and applications of a set-theoretic approach to image analysis called mathematical morphology are reviewed in this article, where the concepts of mathematical morphology geometrical structure in signals are used to illuminate the ways that morphological systems can enrich the theory and application of multidimensional signal processing.
Journal ArticleDOI
Hierarchical image fusion
TL;DR: Results show that fused images present a more detailed representation of the scene and provide information that cannot be obtained by viewing the input images separately.
Journal ArticleDOI
Decomposition of mappings between complete lattices by mathematical morphology, part I.: General lattices
TL;DR: Two canonical decompositions of mappings between complete lattices are presented, based on the mathematical morphology elementary mappings: erosions, anti-erosions, dilations and anti-dilations, by introducing the concept of morphological connection, that extends the notion of Galois connection.
Journal ArticleDOI
Implementation of binary and gray-scale mathematical morphology on the CNN universal machine
TL;DR: In this paper, a cellular neural network (CNN)-based morphological engine is proposed to perform erosion, dilation, and reconstruction on an actual CNN universal chip, where binary and gray-scale morphological operators are successfully implemented.
Journal ArticleDOI
Image algebra representation of parallel optical binary arithmetic.
TL;DR: A binary image algebra (BIA) that gives a mathematical description of parallel processing operations is described and examples of arithmetic operations implemented on a digital optical cellular image processor architecture are given.
References
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Pattern Classification and Scene Analysis.
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Pattern classification and scene analysis
Richard O. Duda,Peter E. Hart +1 more
TL;DR: In this article, a unified, comprehensive and up-to-date treatment of both statistical and descriptive methods for pattern recognition is provided, including Bayesian decision theory, supervised and unsupervised learning, nonparametric techniques, discriminant analysis, clustering, preprosessing of pictorial data, spatial filtering, shape description techniques, perspective transformations, projective invariants, linguistic procedures, and artificial intelligence techniques for scene analysis.
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Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
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Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
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Image Analysis and Mathematical Morphology
TL;DR: This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.