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Fitting line projections in non-central catadioptric cameras with revolution symmetry

机译:具有旋转对称性的非中央折反射照相机的拟合线投影

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摘要

Line-images in non-central cameras contain much richer information of the original 3D line than line projections in central cameras. The projection surface of a 3D line in most catadioptric non-central cameras is a ruled surface, encapsulating the complete information of the 3D line. The resulting line-image is a curve which contains the 4 degrees of freedom of the 3D line. That means a qualitative advantage with respect to the central case, although extracting this curve is quite difficult. In this paper, we focus on the analytical description of the line-images in non-central catadioptric systems with symmetry of revolution. As a direct application we present a method for automatic line-image extraction for conical and spherical calibrated catadioptric cameras. For designing this method we have analytically solved the metric distance from point to line-image for non-central catadioptric systems. We also propose a distance we calleffective baselinemeasuring the quality of the reconstruction of a 3D line from the minimum number of rays. This measure is used to evaluate the different random attempts of a robust scheme allowing to reduce the number of trials in the process. The proposal is tested and evaluated in simulations and with both synthetic and real images.
机译:与中央摄像机中的线投影相比,非中心摄像机中的线图像包含的原始3D线信息要丰富得多。在大多数折反射非中央摄像机中,3D线的投影表面是直角曲面,封装了3D线的完整信息。所得的线图像是包含3D线的4个自由度的曲线。相对于中心情况,这意味着质量上的优势,尽管提取该曲线非常困难。在本文中,我们着重于对具有旋转对称性的非中央折反射系统中的线图像进行解析描述。作为直接的应用,我们提出了一种用于锥形和球形校准折反射照相机的自动线图像提取方法。为了设计此方法,我们已经分析解决了非中央折反射系统从点到线图像的距离。我们还提出了一个距离,我们称其为有效基线,该距离可以从最少的光线数量测量3D线的重建质量。该措施用于评估健壮方案的不同随机尝试,从而减少过程中的试验次数。该提案已通过模拟以及合成图像和真实图像进行了测试和评估。

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