Linear Differential Constraints for Photo-Polarimetric Height Estimation
Linear Differential Constraints for Photo-Polarimetric Height Estimation
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DOI：
10.1109/iccv.2017.250
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发表时间：
2017-07
期刊：
影响因子：
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通讯作者：
S. Tozza;W. Smith;Dizhong Zhu;R. Ramamoorthi;E. Hancock
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文献类型：
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作者：
S. Tozza;W. Smith;Dizhong Zhu;R. Ramamoorthi;E. Hancock
在本文中，我们提出了一种偏振光形状估计的微分方法。我们提出了几种替代的微分约束的基础上偏振和光度阴影信息，并展示了如何表达他们在一个统一的偏微分系统。我们的方法使用的图像比率技术，联合收割机的阴影和偏振信息，以直接重建表面高度，而不首先计算表面法向量。此外，我们能够消除非线性，使问题减少到解决一个线性微分问题。我们还介绍了一种新的方法来估计偏振图像从多通道数据，最后，我们表明，它是可能的，以估计在两个源设置的照明方向，扩展到一个未校准的情况下的方法。从数值的角度来看，我们使用最小二乘制定的离散版本的问题。据我们所知，这是第一个工作，考虑一个统一的差分方法来解决直接用于高度的光偏振形状估计。仿真和实际数据的数值结果证实了我们所提出的方法的有效性。
In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a unified partial differential system. Our method uses the image ratios technique to combine shading and polarisation information in order to directly reconstruct surface height, without first computing surface normal vectors. Moreover, we are able to remove the non-linearities so that the problem reduces to solving a linear differential problem. We also introduce a new method for estimating a polarisation image from multichannel data and, finally, we show it is possible to estimate the illumination directions in a two source setup, extending the method into an uncalibrated scenario. From a numerical point of view, we use a least-squares formulation of the discrete version of the problem. To the best of our knowledge, this is the first work to consider a unified differential approach to solve photo-polarimetric shape estimation directly for height. Numerical results on synthetic and real-world data confirm the effectiveness of our proposed method.