V2EX epipolar line

Epipolar Line

释义 Definition

极线:在立体视觉/多视几何中,把三维空间中的某一点投影到两幅图像时,在另一幅图像中对应点必定位于的一条约束直线。它由两相机的相对位置决定,是极几何(epipolar geometry)的核心概念之一。(该术语主要用于计算机视觉与摄影测量领域。)

发音 Pronunciation (IPA)

/ppolr lan/

例句 Examples

In stereo vision, the matching point must lie on the epipolar line.
在立体视觉中,匹配点必须落在极线上。

Given a calibrated camera pair, each feature point in the first image defines an epipolar line in the second image via the fundamental matrix, reducing correspondence search from 2D to 1D.
对于一对已标定的相机,第一幅图像中的每个特征点都可通过基础矩阵在第二幅图像中确定一条极线,从而把对应搜索从二维降为一维。

词源 Etymology

epipolar 来自 epi-(希腊语前缀,意为“在……之上/附近”)与 polar(与“极/极点”相关)结合,用来描述围绕极点(epipole)形成的几何关系;epipolar line 指“与极几何相关的那条直线”。该术语在摄影测量与计算视觉的多视几何体系中固定下来。

相关词 Related Words

文学与经典著作 Literary Works

  • Multiple View Geometry in Computer Vision(Hartley & Zisserman):系统讲解极几何、极线与基础矩阵的经典教材。
  • Computer Vision: Algorithms and Applications(Richard Szeliski):在立体匹配与相机几何章节中使用并解释 epipolar line。
  • Three-Dimensional Computer Vision(Olivier Faugeras):多视几何框架下讨论极点、极线及其约束关系。
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