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

被引：7

作者：

Ohanyan, V. K. ^{[1
]}

Martirosyan, D. M. ^{[1
]}

机构：

[1] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2020年 / 55卷 / 06期

关键词：

stochastic geometry; convex body; covariogram; random chord length distribution; COVARIOGRAM;

D O I：

10.3103/S1068362320060072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper continues the research to reconstruct a convex body in 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.

引用

页码：344 / 355

页数：12

共 17 条

[1] Orientation-Dependent Chord Length Distribution Function for Right Prisms with Rectangular or Right Trapezoidal Bases
V. K. Ohanyan
D. M. Martirosyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2020, 55 : 344 - 355
[2] Orientation-dependent chord length distribution as a function of maximal chord
A. G. Gasparyan
V. K. Ohanyan
Journal of Contemporary Mathematical Analysis, 2015, 50 : 253 - 257
[3] Orientation-Dependent Chord Length Distribution as a Function of Maximal Chord
Gasparyan, A. G.
Ohanyan, V. K.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (05): : 253 - 257
[4] Orientation-Dependent Chord Length Distribution in a Convex Quadrilateral
Martirosyan, D. M.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2023, 58 (06): : 416 - 430
[5] Orientation-Dependent Chord Length Distribution in a Convex Quadrilateral
D. M. Martirosyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2023, 58 : 416 - 430
[6] Covariogram and Orientation-Dependent Chord Lenght Distribution Function for Oblique Prism
Khalatyan, V
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2022, 57 (03): : 157 - 171
[7] Covariogram and Orientation-Dependent Chord Lenght Distribution Function for Oblique Prism
V. Khalatyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022, 57 : 157 - 171
[8] ORIENTATION-DEPENDENT CHORD LENGTH DISTRIBUTIONS CHARACTERIZE CONVEX POLYGONS
NAGEL, W
JOURNAL OF APPLIED PROBABILITY, 1993, 30 (03) : 730 - 736
[9] Analysis of the chord length distribution of the right circular cone for small chord lengths
Gille, W
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (8-9) : 1027 - 1035
[10] Orientation-Dependent Distribution of the Length of a Random Segment and Covariogram
Gasparyan, A. G.
Ohanyan, V. K.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (02): : 90 - 97

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