从图像中重建朗伯光学表面的独特方法

Siberian Advances in Mathematics Pub Date : 2024-09-18 DOI:10.1134/s1055134424030036

E. Yu. Derevtsov

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引用次数: 0

摘要

摘要在光度测量逆问题的框架内，我们研究了从使用少量光学系统获得的图像中重建朗伯光学表面的空间位置和亮度的问题。我们研究了在重建这样一个表面的位置时产生歧义的原因。我们提出了从三幅图像原谅一般权函数重建发光表面的逆问题存在唯一解决方案的标准，并将结果应用于模拟介质透明度（包括其吸收或散射）的特定权函数类别。

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Unique Reconstruction of a Lambertian Optical Surface from Images

Abstract

Within the framework of inverse problems of photometry, we study questions on reconstruction of the spatial location and luminosity of a Lambertian optical surface from its images obtained with the use of a small number of optical systems. We study causes of ambiguity in reconstruction of the location of such a surface. We suggest criteria for existence of a unique solution of the inverse problem on reconstruction of a luminous surface from three images for general weight functions and apply the results to specific classes of weight functions that model the degree of transparency of the medium (including its absorption or scattering).

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.