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A Variational Approach to 3D Cylindrical Geometry Reconstruction from Multiple Views

机译:从多个角度进行3D圆柱几何重构的变体方法

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In this paper we present a variational technique for the reconstruction of 3D cylindrical surfaces. Roughly speaking by a cylindrical surface we mean a surface that can be parameterized using the projection on a cylinder in terms of two coordinates, (l, ?), representing the displacement and angle in a cylindrical coordinate system respectively. The starting point for our method is a set of different views of a cylindrical surface, as well as a precomputed disparity map estimation between pair of images. The proposed variational technique is based on an energy minimization where we balance on the one hand the regularity of the cylindrical function given by the distance of the surface points to cylinder axis, and on the other hand, the distance between the projection of the surface points on the images and the expected location following the precomputed disparity map estimation between pair of images. One interesting advantage of this approach is that we regularize the 3D surface by means of a bi-dimensional minimization problem. We show some experimental results for large stereo sequences. keywords: Optical flow, Stereoscopic vision, Anisotropic diffusion
机译:在本文中,我们提出了一种3D圆柱曲面重构的变型技术。粗略地讲,圆柱表面是指可以使用圆柱上的投影根据两个坐标(l,)来参数化的表面,这两个坐标分别表示圆柱坐标系中的位移和角度。我们方法的出发点是一组圆柱表面的不同视图,以及一对图像之间的预先计算的视差图估计。所提出的变分技术基于能量最小化,其中我们一方面平衡由表面点到圆柱轴的距离给出的圆柱函数的规则性,另一方面,由表面点的投影之间给出的距离在图像和预期位置之后,对图像之间进行预先计算的视差图估计。这种方法的一个有趣的优点是,我们通过二维最小化问题对3D表面进行了正则化。我们显示了一些大型立体声序列的实验结果。关键词:光流立体视觉各向异性扩散

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