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the x-ray transform and its application in nano crystallography
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نویسنده
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derikvand tajedin ,kamyabi-gol rajab ali ,janfada mohammad
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منبع
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journal of optoelectronical nanostructures - 2017 - دوره : 2 - شماره : 1 - صفحه:29 -40
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چکیده
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In this article a review on the definition of the x-ray transform and some ofits applications in nano crystallography is presented. we shall show that the x-ray transform is a special case of the radon transform on homogeneous spaces when the topological group e(n) the euclidean group acts on ℝ^2 transitively. first some properties of the radon transform are investigated then the relationship to texture analysis is briefly illustrated. finally, some of its applications in material structure detection at the nano scale are studied.
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کلیدواژه
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x-ray transform ,nano crystallography ,homogeneous spaces
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آدرس
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ferdowsi university of mashhad, international campus, faculty of mathematic sciences, ایران, ferdowsi university of mashhad, centre of excellence in analysis on algebraic structures (ceaas), department of pure mathematics, ایران, ferdowsi university of mashhad, department of pure mathematics, ایران
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پست الکترونیکی
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janfada@um.ac.ir
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Authors
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