V2EX epipolar geometry

Epipolar Geometry

定义 Definition

极线几何:计算机视觉与立体视觉中的一套几何关系,用来描述两台相机(或同一相机在两个位置)拍摄同一场景时,空间点在两幅图像上的对应约束。它核心表达为:一个图像中的点,在另一幅图像中的匹配点必定位于对应的极线(epipolar line)上(由基本矩阵/本质矩阵等形式化表示)。

发音 Pronunciation (IPA)

/ppolr dimtri/

例句 Examples

Epipolar geometry helps us reduce the search for a matching point to a line.
极线几何能把“找匹配点”的搜索范围从整幅图像缩小到一条线。

After camera calibration, we used epipolar geometry and the fundamental matrix to reject wrong correspondences in stereo images.
完成相机标定后,我们利用极线几何与基本矩阵来剔除立体图像中的错误对应点。

词源 Etymology

epipolar由前缀 epi-(源自希腊语,意为“在……之上/关于”)与 polar(“极的/与极相关的”)组合而来,在该领域里与“极点(epipole)极线(epipolar line)”这套构造相关;geometry源自希腊语 geōmeriā(“测地术”),指研究空间与形状的数学。合起来即“关于极线关系的几何”。

相关词 Related Words

文学与著作 Literary Works

  • Richard Hartley & Andrew Zisserman: Multiple View Geometry in Computer Vision(系统讲解极线几何、基本矩阵/本质矩阵等)
  • Richard Szeliski: Computer Vision: Algorithms and Applications(在立体匹配与多视图部分讨论极线约束)
  • David Forsyth & Jean Ponce: Computer Vision: A Modern Approach(涵盖立体视觉与极线几何基础)
  • Olivier Faugeras: Three-Dimensional Computer Vision(早期经典,多视图与几何约束重要来源)
  • H. C. Longuet-Higgins(论文,约1981)关于利用对应点恢复相对运动与结构的工作中涉及相关约束与矩阵形式化
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