Linear Polarization Demosaicking for Monochrome and Color Polarization Focal Plane Arrays

Simeng Qiu, Qiang Fu, Congli Wang, Wolfgang Heidrich
Accepted to the Computer Graphics Forum, 2021



Left (a)-(d): Monochrome polarization demosaicking results for total intensity, DoLP, AoLP and visualization with unpolarized illumination. Right (e)-(h): Color polarization demosaicking results for total intensity, DoLP, AoLP and visualization with polarized illumination. Our proposed algorithm outperforms state of the art for both monochrome and color polarization focal plane arrays.

Abstract

Division-of-focal-plane (DoFP) polarization image sensors allow for snapshot imaging of linear polarization effects with inexpensive and straightforward setups. However, conventional interpolation based image reconstruction methods for such sensors produce unreliable and noisy estimates of quantities such as degree of linear polarization (DoLP) or angle of linear polarization (AoLP).
In this paper, we propose a polarization demosaicking algorithm by inverting the polarization image formation model for both monochrome and color DoFP cameras. Compared to previous interpolation methods, our approach can significantly reduce noise induced artifacts and drastically increase the accuracy in estimating polarization states. We evaluate and demonstrate the performance of the methods on a new high-resolution color polarization dataset. Simulation and experimental results show that the proposed reconstruction and analysis tools offer an effective solution to polarization imaging.

Main results

Monochromatic Polarization Demosaicking

Two exemplary scenes from our dataset. The upper part is a ball scene with unpolarized background illumination, and the second part is a containers scene with polarized background illumination. The reconstruction quality is presented in PSNR for all the methods comparison.


Color Polarization Demosaicking

This is a comparison of optimization based methods with different priors. From left to right are the ground truth (GT) data, Total variation (TV) prior, TV on both 1st and 2nd order derivatives (TV+2d), Huber penalty on 1st derivatives, Huber penalty on both 1st and 2nd order derivatives (Huber+2d), Huber penalty with BM3D prior (Huber+2d+BM3D), and Huber penalty combined with BM3D, cross-color channel prior (Huber+2d+BM3D+CC). Our proposed Huber penalty with 1st and 2nd derivatives outperforms other priors for all the three polarization components.


Visualization Results


Experimental Results

Experimental results for both monochrome (left) and color (right) polarization cameras with the proposed reconstruction algo- rithm. We show reconstruction results of Itot, DoLP, and AoLP for two arbitrarily captured real scenes.

Polarization Image Dataset

To the best of our knowledge, existing polarization image datasets are monochromatic, and consist of a few scenes. High-resolution polarization images with color, are lacking for research. Therefore, we construct a polarization image dataset containing 40 carefully calibrated ground truth images with a wide range of scenes. We try to cover as many naturally occurring polarization effects as possible. We capture different scenes with various shapes, materials, and lighting conditions. In particular, polarized illumination is an essential and useful phenomenon in artifact diagnosis and industrial inspection. We include such images by capturing transparent objects in front of a highly polarized monitor. The following is a gallery of our polarization image dataset. The complete polarization image dataset can be found at [DOI:10.25781/KAUST-2VA2X]]


Paper and video

Paper [Simeng2019PolarizationDemosaic.pdf ~14.7 MB] 

Code and dataset

Source Code [Source Code] 
Dataset [Dataset] 
Mosic Intensities Dataset [Mosic Dataset] 

Citation