Projective Invariants from Multiple Images: A Direct and Linear Method
Projective Invariants from Multiple Images: A Direct and Linear Method
复制标题
多个图像的射影不变量：直接线性方法
DOI：
10.1155/2016/8523604
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发表时间：
2016-01-01
影响因子：
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通讯作者：
Zhang，Bin
中科院分区：
文献类型：
--
作者：
Wang，Yuanbin;Wang，Xingwei;Zhang，Bin
从二维图像投影重建三维结构是计算机视觉的核心问题。现有的解决该问题的方法通常是非线性的或间接的。在以往的直接法中，通常需要求解一个非线性方程组。它们非常复杂，很难实现。以往的线性间接法通常是不精确的。本文提出了一种从3D点的2D图像中提取其投影结构的线性和直接方法。给出了从两幅图像、三幅图像和四幅图像计算射影不变量的算法。该方法清晰、简单、易于实现。在文献中，我们第一次给出了解决这个问题的显式线性公式。为了验证公式的正确性，给出了MATHEMICAL A代码。
The projective reconstruction of 3D structures from 2D images is a central problem in computer vision. Existing methods for this problem are usually nonlinear or indirect. In the previous direct methods, we usually have to solve a system of nonlinear equations. They are very complicated and hard to implement. The previous linear indirect methods are usually imprecise. This paper presents a linear and direct method to derive projective structures of 3D points from their 2D images. Algorithms to compute projective invariants from two images, three images, and four images are given. The method is clear, simple, and easy to implement. For the first time in the literature, we present explicit linear formulas to solve this problem. Mathematica codes are provided to demonstrate the correctness of the formulas.