Image algebra: An overview |
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| Affiliation: | 1. Lomonosow Moscow State University, Physics Department, Russia GSP-1, Leninskie Gory, Moscow 119991, Russia;2. Lomonosow Moscow State University, Sternberg Astronomical Institute, Universitetsky prospekt, 13, Moscow 119234, Russia;3. Institute Nationale di astrofisica, Viale del Parco Mellini 84, Roma 00136, Italy;4. Italy Ferrara University, Via Savonarola, 9, Ferrara 44121, Italy;5. Instituto de Astrofísica de Canarias( IAC), C/Via Lactea, s/n E38205, La Laguna, Tenerife, Spain;6. The South African Astronomical Observatory (SAAO), P.O. Box 9 Observatory, Cape Town 7935, South Africa;7. Irkutsk State University, Applied Physics Institute, 20, Gagarin blvd, Irkutsk 664003, Russia;8. Institute of High Energy Physics, China Academy of Science, 19B Yuquan Road,Shijingshan District, Beijing100049, China;9. Physics Department,Tsinghua University, Haidian District, Beijing 100084, China;10. Kourovka Observatory of Ural State University, pr. Lenina 51, Ekaterinburg 620083, Russia;11. Kislovodsk Solar Station of the Pulkovo Observatory, P.O.Box 45, ul. Gagarina 100, Kislovodsk 357700, Russia;12. Blagoveschensk State Pedagogical University, Lenin str., 104, Amur Region, Blagoveschensk 675000, Russia |
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| Abstract: | This paper is the first in a sequence of papers describing an algebraic structure for image processing that has become known as the AFATL Standard Image Algebra. This algebra provides a common mathematical environment for image processing algorithm development and methodologies for algorithm optimization, comparison, and performance evaluation. In addition, the image algebra provides a powerful algebraic language for image processing which, if properly embedded into a high level programming language, will greatly increase a programmer's productivity as programming tasks are greatly simplified due to replacement of large blocks of code by short algebraic statements. The purpose of this paper is to familiarize the reader with the basic concepts of the algebra and to provide a general overview of its methodology. |
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