Analytical equation for camera imaging with refractive interfaces

doi:10.1016/j.optlaseng.2024.108581

2025-01-01

PRE

DOI：10.1016/j.optlaseng.2024.108581

原文链接

原文求助

摘要

En 中文

Camera imaging through refractive interfaces is a crucial issue in photogrammetric measurements. Most past studies adopted numerical optimization algorithms based on refractive ray tracing procedures. In these studies, the camera and interface parameters are usually calculated iteratively with numerical optimization algorithms. Inappropriate initial values can cause iterations to diverge. Meanwhile, these iterations cannot efficiently reveal the accurate nature of refractive imaging. Therefore, obtaining camera calibration results that are both flexible and physically interpretable continues to be challenging. Consequently, in this study, we modeled refractive imaging by employing ray transfer matrix analysis. Subsequently, we deduced an analytical refractive imaging (ARI) equation that explicitly describes the refractive geometry in a matrix form. Although this equation is built upon the paraxial approximation, we executed a numerical experiment that shows that the developed analytical equation can accurately illustrate refractive imaging with a considerable object distance and a slightly tilted angle of the flat interface. This ARI equation can be used to define the expansion center and the normal vector of the flat interface. Finally, we also propose a flexible measurement method to determine the orientation of the flat interface, wherein the orientation can be measured rather than calculated by iterative procedures.

Keyword:

Computer vision

Camera calibration

Imaging geometry

Refractive geometry

期刊

Optics and Lasers in Engineering

IF:

3.7

论文数:

7.3K

被引数:

1.7W

机构

暂无机构信息

引用论文

Flexible method of refraction correction in vision measurement systems with multiple glass ports

OPTICS EXPRESS

IF3.3

2017-01-11

OAAI

Gong, Zheng; Liu, Zhen; Zhang, Guangjun

T3P mediated intramolecular rearrangement of o-aminobenzamide to o-ureidobenzonitrile using isothiocyanates T3P催化的邻氨基苯甲酰胺与异硫氰酸酯作用生成邻脲基苯甲腈的分子内重排反应

Synthetic Communications

IF0

2021-02-09

PREAI

Sadashivamurthy Shamanth; Sandhya C. Nagarakere; Kunigal S. Sagar; Yatheesh Narayana; Mahesha Mamatha; Kanchugarakoppal S. Rangappa; Mantelingu Kempegowda

European developments in strategic spatial planning

European Planning Studies

IF0

1999-06-01

PREAI

Patsy Healey; Abdul Khakee; Alain Motte; Barrie Needham

Artifacts in optical projection tomography due to refractive-index mismatch: model and correction

OPTICS LETTERS

IF3.3

2022-05-16