一个封闭形式的解决方案,以未经校准的光度立体通过漫射最大值

P. Favaro, Thoma Papadhimitri
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引用次数: 61

摘要

在本文中,我们提出了一种新的解决方案,以未经校准的光度立体。我们的方法是通过利用朗伯反射最大的点来消除所谓的广义起伏(GBR)模糊性。我们证明了这些极大值的几个值得注意的性质:1)闭形式解:单个扩散极大值将GBR模糊性限制在三维空间的半圆内;2)效率:在不同的图像中,只要两个弥散极大值就能识别出唯一的解;3) GBR不变性:GBR参数的估计误差完全独立于真实参数。此外,我们的算法非常稳健:即使在检测到的最大值中存在极高水平的异常值(高达80%的观测值),它也可以获得对GBR参数的准确估计。该方法在实际数据上得到了验证,取得了较好的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A closed-form solution to uncalibrated photometric stereo via diffuse maxima
In this paper we propose a novel solution to uncalibrated photometric stereo. Our approach is to eliminate the so-called generalized bas relief (GBR) ambiguity by exploiting points where the Lambertian reflection is maximal. We demonstrate several noteworthy properties of these maxima: 1) Closed-form solution: A single diffuse maximum constrains the GBR ambiguity to a semi-circle in 3D space; 2) Efficiency: As few as two diffuse maxima in different images identify a unique solution; 3) GBR-invariance: The estimation error of the GBR parameters is completely independent of the true parameters. Furthermore, our algorithm is remarkably robust: It can obtain an accurate estimate of the GBR parameters even with extremely high levels of outliers in the detected maxima (up to 80% of the observations). The method is validated on real data and achieves state-of-the-art results.
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