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.

中文翻译：

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具有矩形或右梯形底基的右棱镜的方向相关弦长分布函数

摘要

本文继续根据\（k \）维截面（\（k <n \））的特征分布在\（{{mathbb {R}} ^ {n} \）中重构凸体的研究。。在本文中，我们获得了具有矩形或右梯形底角的直角棱镜的协方差图和与方向相关的弦长分布的显式表达式。