On the Nonlinear Statistics of Range Image Patches
On the Nonlinear Statistics of Range Image Patches
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DOI：
10.1137/070711669
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发表时间：
2009-01-01
影响因子：
2.1
通讯作者：
Carlsson, Gunnar
中科院分区：
文献类型：
--
作者：
Adams, Henry;Carlsson, Gunnar
在[A. B。李，K. S. Pedersen和D. Mumford，Int. J. Comput.维斯，54（2003），pp. 83-103]，作者研究了来自光学图像和来自距离图像的3 × 3斑块的分布。在[G. Carlsson，T. Ishkanov，V. de Silva，and A. Zomorodian，Int. J. Comput.维斯，76（2008），pp. 1-12]中，作者将计算拓扑工具应用于Lee，Pedersen和Mumford研究的光学贴片数据集，并找到高密度子集的几何结构。一个高密度子集被称为主圆，基本上由具有分隔亮区和暗区的线的斑块组成。在本文中，我们将Carlsson等人的技术应用于范围补丁。通过扩大到5x 5和7 x7补丁，我们发现核心子集的拓扑结构的主要圆，这表明一个更强的连接之间的光学补丁和范围补丁比李，彼得森和芒福德。
In [A. B. Lee, K. S. Pedersen, and D. Mumford, Int. J. Comput. Vis., 54 (2003), pp. 83-103], the authors study the distributions of 3 x 3 patches from optical images and from range images. In [G. Carlsson, T. Ishkanov, V. de Silva, and A. Zomorodian, Int. J. Comput. Vis., 76 (2008), pp. 1-12], the authors apply computational topological tools to the data set of optical patches studied by Lee, Pedersen, and Mumford and find geometric structures for high density subsets. One high density subset is called the primary circle and essentially consists of patches with a line separating a light and a dark region. In this paper, we apply the techniques of Carlsson et al. to range patches. By enlarging to 5x5 and 7x7 patches, we find core subsets that have the topology of the primary circle, suggesting a stronger connection between optical patches and range patches than was found by Lee, Pedersen, and Mumford.