A New Perspective on Uncalibrated Photometric Stereo
A New Perspective on Uncalibrated Photometric Stereo
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DOI：
10.1109/cvpr.2013.194
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发表时间：
2013-06
期刊：
影响因子：
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通讯作者：
Thoma Papadhimitri;P. Favaro
中科院分区：
文献类型：
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作者：
Thoma Papadhimitri;P. Favaro
研究了在透视投影模型下，在未标定的光度立体中重建朗伯曲面的法线、反照率和光线的问题。我们的分析建立在建立可积性约束的基础上。在正射投影的情况下，众所周知，当施加这样的约束时，最多只能识别3个参数的解，即所谓的广义基本起伏(GBR)模糊性。我们证明了在透视投影的情况下解是唯一的。我们还提出了一种简单、高效和健壮的闭合形式解。我们在合成数据和公开可用的真实数据上测试了我们的算法。我们的定量测试表明，我们的方法在正射投影下优于以前的所有未标定的光度立体视觉工作。
We investigate the problem of reconstructing normals, albedo and lights of Lambertian surfaces in uncalibrated photometric stereo under the perspective projection model. Our analysis is based on establishing the integrability constraint. In the orthographic projection case, it is well-known that when such constraint is imposed, a solution can be identified only up to 3 parameters, the so-called generalized bas-relief (GBR) ambiguity. We show that in the perspective projection case the solution is unique. We also propose a closed-form solution which is simple, efficient and robust. We test our algorithm on synthetic data and publicly available real data. Our quantitative tests show that our method outperforms all prior work of uncalibrated photometric stereo under orthographic projection.