动态物体三维几何测量的相位图像解码算法

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2023-08-07 DOI:10.1134/S1990478923020072

S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov

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引用次数: 0

摘要

我们提出了一种具有算法复杂度的相位图像解码算法\( O(N\log N) \)。该方法基于对模型函数与测量结果的最小偏差的迭代搜索。区间搜索算法的使用大大降低了算法的计算复杂度。该方法的误差与基于相位图像中描述强度的方程组解析解的相位图像解码方法的误差相当。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects

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Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects

We propose an algorithm for decoding phase images that has algorithmic complexity \( O(N\log N) \). The method is based on an iterative search for the minimum deviation of the model function from the measurement results. The use of an interval search algorithm permitted considerably reducing the computational complexity of the algorithm. The error of the proposed method is comparable to the error of the phase image decoding method based on the analytical solution of the system of equations describing the intensity in the phase images.

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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.