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Orientation-Dependent Chord Length Distribution Function for Right Prisms with Rectangular or Right Trapezoidal Bases

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Abstract

The paper continues the research to reconstruct a convex body in \({\mathbb{R}}^{n}\) from the distribution of characteristics of its \(k\)-dimensional sections (\(k<n\)). In this paper we obtain explicit expressions for the covariogram and the orientation-dependent chord length distribution of right prisms with rectangular or right trapezoidal bases.

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Funding

The research of the first author was partially supported by the RA MES State Committee of Science (grant no. 18T-1A252) and by the Mathematical Studies Center at Yerevan State University.

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Correspondence to V. K. Ohanyan or D. M. Martirosyan.

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Ohanyan, V.K., Martirosyan, D.M. Orientation-Dependent Chord Length Distribution Function for Right Prisms with Rectangular or Right Trapezoidal Bases. J. Contemp. Mathemat. Anal. 55, 344–355 (2020). https://doi.org/10.3103/S1068362320060072

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  • DOI: https://doi.org/10.3103/S1068362320060072

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