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3D measurement by estimating Homogeneous Light Transport (HLT) Matrix

机译：通过估算同质光传输（HLT）矩阵进行3D测量

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We introduce Homogeneous Light Transport (HLT) Matrix for efficient 3D measurements. Which is an extension of the Light Transport (LT) matrix. The LT Matrix is a model of light transportation between a projector and a camera. It describes weights for all combinations of the projector pixels and the camera pixels. The HLT Matrix includes background lights information with LT Matrix. By using the HLT Matrix, we can estimate LT Matrix without backgrounds measurement. In the traditional methods, it is assumed that the light ray reflects only once in the scene. However, in the actual scenes, it may reflect multiple times due to specular reflections or subsurface scatterings; thus 3D measurement may become difficult in some cases. The LT Matrix can express multiple times reflection. In this paper, we demonstrate that 3D points can be measured by using “1-pixel projection” and considering the epipolar geometry, for measurement targets which are difficult to measure by traditional methods. This measurement is the same as the measurement using the LT Matrix approach. We use a compressive sensing method for estimation to reduce the number of projection and capture.
机译：我们引入均质光传输（HLT）矩阵，以进行有效的3D测量。这是光传输（LT）矩阵的扩展。 LT Matrix是投影仪和相机之间光传输的模型。它描述了投影仪像素和相机像素的所有组合的权重。 HLT Matrix包含LT Matrix的背景灯信息。通过使用HLT矩阵，我们可以在不进行背景测量的情况下估算LT矩阵。在传统方法中，假定光线在场景中仅反射一次。但是，在实际场景中，由于镜面反射或地下散射，它可能会反射多次。因此在某些情况下3D测量可能会变得困难。 LT矩阵可以表示多次反射。在本文中，我们证明了对于传统方法难以测量的测量目标，可以使用“ 1像素投影”并考虑对极几何形状来测量3D点。此测量与使用LT矩阵方法的测量相同。我们使用压缩感测方法进行估计，以减少投射和捕获的次数。

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