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| 基于小孔成像的偏振三维成像模型研究 |
| Research on Polarization 3D imaging model based on pinhole imaging method |
| 投稿时间：2024-12-23 修订日期：2025-02-24 |
| DOI： |
| 中文关键词: 偏振三维测量 小孔成像 法向量测量 正交模型 |
| 英文关键词:Polarization 3D measurement Pinhole imaging Normal vector measurement Orthogonal model |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 偏振三维成像法可以仅通过一台相机实现全场法向量的测量，因而在许多领域得到了广泛的应用。现有的偏振三维成像模型通常假设从目标表面反射到相机的所有光都平行于相机的光轴，这与实际情况不符从而导致系统误差。为了解决该问题，本文提出一种能够准确描述成像光路的偏振三维成像小孔成像模型，该模型首先考虑了光的入射方向，并分析了法向量、反射光分量和反射率之间的关系；再利用偏振度和偏振角计算反射率和反射光分量与成像平面之间的角度；最后通过逆方法求解法向量和反射光分量和反射率之间的方程，实现了法向量的精确测量。通过一系列实验验证了该方法的准确性。结果表明，与传统模型相比，该模型具有应用范围更广、测量精度更高等优势。 |
| 英文摘要: |
| Polarization 3D imaging method can directly measure the normal vector of the entire field through a single camera, and has been widely used in many fields. The existing polarization models typically assume that all light reflected from the target surface to the camera is parallel to the camera's optical axis, which is inconsistent with the actual situation and leads to system errors. To address this issue, this paper proposes a polarized 3D imaging pinhole imaging model that can accurately describe the imaging optical path. The model first considers the incident direction of light and analyzes the relationship between the normal vector, reflected light component, and reflectivity; Reuse polarization degree and polarization angle to calculate the reflectivity and the angle between the reflected light component and the imaging plane; Finally, the equation between the normal vector and the reflected light component and reflectance was solved using the inverse method, achieving accurate measurement of the normal vector. The accuracy of this method has been verified through a series of experiments. The results indicate that compared with traditional models, this model has advantages such as wider application range and higher measurement accuracy. |
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