论文标题

极化3D重建的透视相角模型

Perspective Phase Angle Model for Polarimetric 3D Reconstruction

论文作者

Chen, Guangcheng, He, Li, Guan, Yisheng, Zhang, Hong

论文摘要

当前的极化3D重建方法,包括具有偏振文献的良好形状的方法,都是在正际投影假设下开发的。但是,在较大的视野中,此假设不存在,并且可能导致对此假设的方法的重大重构错误。为了解决此问题,我们介绍适用于透视摄像机的透视相位角(PPA)模型。与拼字法模型相比,提出的PPA模型准确地描述了在透视投影下极化相位角与表面正常之间的关系。此外,PPA模型使得只能从一个单视相角图估算表面正态,并且不遭受所谓的$π$ -Ambiguity问题。实际数据上的实验表明,PPA模型对于具有透视摄像机的表面正常估计比拼字图模型更准确。

Current polarimetric 3D reconstruction methods, including those in the well-established shape from polarization literature, are all developed under the orthographic projection assumption. In the case of a large field of view, however, this assumption does not hold and may result in significant reconstruction errors in methods that make this assumption. To address this problem, we present the perspective phase angle (PPA) model that is applicable to perspective cameras. Compared with the orthographic model, the proposed PPA model accurately describes the relationship between polarization phase angle and surface normal under perspective projection. In addition, the PPA model makes it possible to estimate surface normals from only one single-view phase angle map and does not suffer from the so-called $π$-ambiguity problem. Experiments on real data show that the PPA model is more accurate for surface normal estimation with a perspective camera than the orthographic model.

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