二维矢量场动量射线变换的数值重建

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI:10.1134/S1990478924040197

I. E. Svetov, E. Yu. Derevtsov, S. V. Maltseva, A. P. Polyakova

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引用次数: 0

摘要

提出并证明了从已知的矢量场矩的纵向或横向变换重构矢量场的算法。根据数据离散化程度、引入数据的噪声水平和类型、向量场的平滑度及其支持的连通性程度，研究了几种算法的性质。数值模拟结果表明，利用矢量场的动量射线变换重建矢量场具有良好的效果。

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Numerical Reconstruction of a Two-Dimensional Vector Field from Its Momentum Ray Transforms

The algorithms for reconstructing a vector field from its known longitudinal or transverse ray transforms of its moment are proposed and justified. The properties of several algorithms are studied depending on the degree of data discretization, the level and type of noise introduced into the data, the smoothness of the vector field, and the degree of connectivity of its support. Numerical simulations show good results of reconstructing vector fields from their momentum ray transforms.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.