Orientation-Dependent Chord Length Distribution in a Convex Quadrilateral
Pub Date : 2023-12-28
DOI:10.3103/s1068362323060055
引用次数: 0
Abstract
This work contributes to the research devoted to the recognition of a convex body by probabilistic characteristics of its lower-dimensional sections. In this paper, for any convex quadrilateral, five orientation-dependent characteristics are introduced and explicitly evaluated per direction. In terms of these characteristics, simple explicit representations of the orientation-dependent chord length distribution function and the covariogram are obtained not only for an arbitrary convex quadrilateral but also for any right prism based on it.
凸四边形中与方向有关的弦长分布
摘要 这项研究致力于通过凸体低维截面的概率特征识别凸体。本文引入了任意凸四边形的五个与方向相关的特征，并对每个方向进行了明确评估。根据这些特征，不仅为任意凸四边形，而且为基于该四边形的任何右棱柱，获得了与方向相关的弦长分布函数和协方差图的简单明确表示。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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