Three-dimensional reconstruction of points and lines with unknown correspondence across images

Y. -Q. Cheng; X. G. Wang; R. T. Collins; E. M. Riseman; A. R. Hanson

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Three-dimensional reconstruction of points and lines with unknown correspondence across images

机译：点和线的三维重构，图像之间的对应关系未知

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摘要

Three-dimensional reconstruction from a set of images is an important and difficult problem in computer vision. In this paper, we address the problem of determining image feature correspondences while simultaneously reconstructing the corresponding 3D features, given the camera poses of disparate monocular views. First, two new affinity measures are presented that capture the degree to which candidate features from different images consistently represent the projection of the same 3D point or 3D line. An affinity measure for point features in two different views is defined with respect to their-distance from a hypothetical projected 3D pseudo-intersection point. Similarly, an affinity measure for 2D image line segments across three views is defined with respect to a 3D pseudo-intersection line. These affinity measures provide a foundation for determining unknown correspondences using weighted bipartite graphs representing candidate point and line matches across different images. As a result of this graph representation, a standard graph-theoretic algorithm can provide an optimal, simultaneous matching and triangulation of points across two views, and lines across three views. Experimental results on synthetic and real data demonstrate the effectiveness of the approach.

机译：从一组图像进行三维重建是计算机视觉中一个重要且困难的问题。在本文中，考虑到相机具有不同的单眼视图的姿势，我们解决了确定图像特征对应关系的问题，同时重建了相应的3D特征。首先，提出了两个新的亲和力度量，它们捕获了来自不同图像的候选特征一致表示同一3D点或3D线的投影的程度。关于两个特征中的点特征与假设的投影3D伪相交点的距离，定义了一个亲和力度量。类似地，相对于3D伪相交线定义了跨三个视图的2D图像线段的亲和力度量。这些亲和力度量提供了使用加权二分图来确定未知对应关系的基础，该二分图代表了跨不同图像的候选点和线匹配。作为这种图形表示的结果，标准的图形理论算法可以提供两个视图之间的点以及三个视图之间的线的最优，同时匹配和三角剖分。综合和真实数据的实验结果证明了该方法的有效性。

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来源
《International Journal of Computer Vision》 |2001年第2期|共28页
作者
Y. -Q. Cheng; X. G. Wang; R. T. Collins; E. M. Riseman; A. R. Hanson;
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正文语种 eng
中图分类计算技术、计算机技术;
关键词
Feature correspondence matching; Point/line affinity measure; Weighted bipartite graph matching; Maximum network flow;

机译：特征对应匹配;点/线亲和度度量;加权二部图匹配;最大网络流量;

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1. Three-dimensional reconstruction of points and lines with unknown correspondence across images [J] . Y. -Q. Cheng, X. G. Wang, R. T. Collins, International Journal of Computer Vision . 2001,第2期

机译：点和线的三维重构，图像之间的对应关系未知
2. Preoperative depiction of cavernous sinus invasion by pituitary macroadenoma using three-dimensional anisotropy contrast periodically rotated overlapping parallel lines with enhanced reconstruction imaging on a 3-tesla system. [J] . Yoneoka Y, Watanabe N, Matsuzawa H, Journal of neurosurgery. . 2008,第1期

机译：使用三维各向异性对比，周期性旋转重叠的平行线，并在3-特斯拉系统上增强成像，对垂体大腺瘤对海绵窦的术前描述。
3. Three-dimensional anisotropy contrast periodically rotated overlapping parallel lines with enhanced reconstruction (3DAC PROPELLER) on a 3.0T system: a new modality for routine clinical neuroimaging. [J] . Nakada T, Matsuzawa H, Fujii Y, Journal of neuroimaging . 2006,第3期

机译：三维各向异性对比可在3.0T系统上以增强的重建（3DAC PROPELLER）定期旋转重叠的平行线：这是常规临床神经成像的一种新方式。
4. Probabilistic Surface Reconstruction with Unknown Correspondence [C] . Dennis Madsen, Thomas Vetter, Marcel Luethi International Workshop on Uncertainty for Safe Utilization of Machine Learning in Medical Imaging;International Workshop on Clinical Image-Based Procedures;International Conference on Medical Image Computing and Computer Assisted Intervention . 2019

机译：具有未知对应关系的概率表面重建
5. Maximum likelihood reconstruction of three-dimensional objects with helical symmetry from two-dimensional projections of unknown orientation and application to electron microscope images of viruses. [D] . Lee, Seunghee. 2009

机译：具有未知方向的二维投影的螺旋对称三维物体的最大似然重建及其在病毒电子显微镜图像中的应用。
6. Abstract: Pursuing Mirror Image Reconstruction in Unilateral Microtia: Customizing Auricular Framework by Application of Three-Dimensional Imaging and Three-Dimensional Printing [O] . Hsin-Yu Chen, Zung-Chung Chen 2016

机译：摘要：追求单侧眼底微镜重建：通过三维成像和三维打印定制耳廓框架
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Three-dimensional reconstruction of points and lines with unknown correspondence across images

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