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Supplementary documents

In this folder, we have included a document with complementary explanations to our paper "A practical calibration method for RGB micro-grid polarimetric cameras".

The information given in this document are auxiliary results and explanations that are not the focus of the paper, and due to space reasons they could not be included in the main text. This document contains the following topics:

Angle of linear polarization (AoLP) estimator - Error shape demonstration

We demonstrate why the error of the AoLP estimator has a sine-like shape in the document Supplementary_material.pdf.

After finding the mathematical expression of this error, the estimator algorithm is tested with for two different lenses, showing that each lens has a different effect in the AoLP estimation when considering the camera as ideal. Then, by doing least-squares optimization and RANSAC, we find the formula parameters that fits the measured data. The values obtained by this method are consistent with our conclusions, and it justifies the fact that calibration is required.

Calibration effect over real applications

To show the importance of doing calibration of the RGB polarization cameras, two applications have been tested:

  1. Linear depth estimation from an uncalibrated, monocular polarisation image”, ECCV, 2016
  2. P2D: a self-supervised method for depth estimation from polarimetry”, ICPR 2020

Then, the resulting images without and with calibration of each application, and a discussion about them are included in Supplementary_material.pdf. The full resolution images can be found in the folder Supplementary_images.

Citation

@ARTICLE{9834097,
  author={Rodriguez, Joaquin and Lew-Yan-Voon, Lew and Martins, Renato and Morel, Olivier},
  journal={IEEE Robotics and Automation Letters}, 
  title={A Practical Calibration Method for RGB Micro-Grid Polarimetric Cameras}, 
  year={2022},
  volume={7},
  number={4},
  pages={9921-9928},
  doi={10.1109/LRA.2022.3192655}}