On Particle-Size Distribution of Convex Similar Bodies in R3

被引:0
作者
Kisel'ak, J. [1 ,2 ,3 ]
Baluchova, G. [3 ]
机构
[1] Johannes Kepler Univ Linz, LIT, Linz, Austria
[2] Johannes Kepler Univ Linz, IFAS, Linz, Austria
[3] Safarik Univ, Inst Math, Kosice, Slovakia
关键词
Stereology; Particle-size distribution; Mellin transform; Integral equation; The method of model solutions;
D O I
10.1007/s10851-020-00997-y
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We have solved an old problem posed by Santalo of determining the size distribution of particles derived from the size distribution of their sections. We give an explicit form of particle-size distributions of convex similar bodies for random planes and random lines, which naturally generalize famous Wicksell's corpuscle problem. The results are achieved by applying the method of model solutions for solving well-known Santalo's integral equations. We give a partial result related to the question of the existence and uniqueness of these solutions. We also emphasize that the original form of solution of Wicksell's problem is insufficient. We finally illustrate our approach in several examples.
引用
收藏
页码:108 / 119
页数:12
相关论文
共 50 条
  • [41] Analyzing nutrient distribution in different particle-size municipal aged refuse
    Li, Guangke
    Hou, Fen
    Guo, Zhen
    Yao, Gaoyi
    Sang, Nan
    WASTE MANAGEMENT, 2011, 31 (11) : 2203 - 2207
  • [42] A general procedure for obtaining the evolving particle-size distribution of flocculating suspensions
    Yeow, Y. Leong
    Liow, Jong-Leng
    Leong, Yee-Kwong
    AICHE JOURNAL, 2012, 58 (10) : 3043 - 3053
  • [43] A PARTICLE-SIZE DISTRIBUTION ANALYSIS OF USED HPLC COLUMN PACKING MATERIAL
    WILSON, TD
    SIMMONS, DM
    CHROMATOGRAPHIA, 1993, 35 (5-6) : 295 - 301
  • [44] Insights into powder coating excellence: Unveiling the effects of particle-size distribution
    Zhu, Xinping
    Xie, Junqing
    Zhang, Haiping
    Liu, Wei
    Zhang, Hui
    Zhu, Jesse
    PROGRESS IN ORGANIC COATINGS, 2024, 197
  • [45] PARTICLE-SIZE DISTRIBUTION OF CATACLASTIC FAULT MATERIALS FROM SOUTHERN CALIFORNIA - A 3-D STUDY
    AN, LJ
    SAMMIS, CG
    PURE AND APPLIED GEOPHYSICS, 1994, 143 (1-3) : 203 - 227
  • [46] BLAST-FURNACE OPERATION WITH SMALL SIZE SINTER BY THE CONTROL OF PARTICLE-SIZE RADIUS DISTRIBUTION
    HORI, R
    MIYATANI, H
    GOTO, T
    ONO, R
    MATSUI, Y
    ARIZUKA, M
    TETSU TO HAGANE-JOURNAL OF THE IRON AND STEEL INSTITUTE OF JAPAN, 1992, 78 (08): : 1330 - 1336
  • [47] THE EFFECT OF PARTICLE-SIZE DISTRIBUTION ON THE PERFORMANCE OF A CATALYTIC FLUIDIZED-BED REACTOR
    SUN, GG
    GRACE, JR
    CHEMICAL ENGINEERING SCIENCE, 1990, 45 (08) : 2187 - 2194
  • [48] Evaluation of different representations of the particle-size distribution to predict soil water retention
    Nemes, A
    Rawls, WJ
    GEODERMA, 2006, 132 (1-2) : 47 - 58
  • [49] Simulation of gas-solid adsorption process considering particle-size distribution
    Li, Jihui
    Zhang, Bingjian
    Shu, Yidan
    CHINESE JOURNAL OF CHEMICAL ENGINEERING, 2023, 54 : 331 - 342
  • [50] The Research into Determination of the Particle-Size Distribution of Granular Materials by Digital Image Analysis
    Wojcik, Artur
    Przybyla, Wioletta
    Francik, Slawomir
    Knapczyk, Adrian
    RENEWABLE ENERGY SOURCES: ENGINEERING, TECHNOLOGY, INNOVATION, 2018, : 623 - 630