地球信息科学学报 ›› 2015, Vol. 17 ›› Issue (3): 274-280.doi: 10.3724/SP.J.1047.2015.00274

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球形全景影像核线方程推导及其应用

刘帅1,2(), 陈军2, 孙敏3, 赵伶俐1,*()   

  1. 1. 红河学院工学院,蒙自 661100
    2. 国家基础地理信息中心,北京 100048
    3. 北京大学遥感与地理信息系统研究所,北京 100871
  • 收稿日期:2014-05-19 修回日期:2014-08-09 出版日期:2015-03-10 发布日期:2015-03-10
  • 通讯作者: 赵伶俐 E-mail:liushuai_csu@126.com;zll_csu@126.com
  • 作者简介:

    作者简介:刘帅(1979-),男,博士,副教授,研究方向为GIS三维建模、计算机视觉与虚拟增强现实。E-mail:liushuai_csu@126.com

  • 基金资助:
    国家自然科学基金项目“基于球形投影几何的多分辨率全景三维建模研究”(41201418);国家自然科学基金项目(40971240、41301442);国家科技支撑项目(2012BAK12B02)

The Derivation and Application of Spherical Panoramic Epipolar Geometry

LIU Shuai1,2(), CHEN Jun2, SUN Min3, ZHAO Lingli1,*()   

  1. 1. School of Engineering, Honghe University, Mengzi 661100, China
    2. National Geomatics Center of China, Beijing 100048, China
    3. Institute of GIS & RS, Peking University, Beijing 100871, China
  • Received:2014-05-19 Revised:2014-08-09 Online:2015-03-10 Published:2015-03-10
  • Contact: ZHAO Lingli E-mail:liushuai_csu@126.com;zll_csu@126.com
  • About author:

    *The author: SHEN Jingwei, E-mail:jingweigis@163.com

摘要:

核线约束是影像在数字摄影测量中的一项核心技术,可限制同名像点的搜索范围,显著提高计算效率和可靠性。目前,核线约束在传统中心投影影像与卫星扫描影像上取得了广泛的应用,而全景影像具有不同的几何模型,核线模型的推导与应用存在很大的难度。以往实现全景三维重建方法大多通过不同方位影像,应用大量的控制点,结合光束法平差以实现构筑物三维重构,缺乏球形全景核线数学方程的推导及应用。鉴此,本文通过对球形全景影像的投影几何研究,基于共面方程建立该类影像的核线几何模型,推导出数学方程及其特性,为核线在球形全景影像中的应用提供了理论基础,实验表明该球形全景核线方程的正确性与可行性。

关键词: 核线, 全景影像, 球形投影几何, 影像匹配

Abstract:

Epipolar geometry is a core issue in close-range digital photogrammetry, which could reduce the search range to improve both calculation efficiency and reliability of matching. Currently, epipolar constraint has achieved a wide range of applications based on the traditional pinhole projection images and satellite images. However, panoramic epipolar geometry is different from the other images because of its peculiar geometric modeling. Panorama can provide 360-degree view in one hotspot. Apart from the visualization for scene browsing, users generally pay more attention to spatial measurable information within the field of survey. The previous works on panorama mainly focused on panoramic image stitching and panoramic camera. In recent years, people started to pay attention to panoramic three-dimensional reconstruction, which is mainly applied to city buildings and other artificial objects. Implemented by the conventional imaging sequences method, it generally needs complex calculations, numerous control points and a bundle of adjustments to reconstruct the object,which lacks relevant researches and applications of spherical panoramic epipolar geometry. In fact, panorama itself is a type of modeling, if has the scalability, it could be taken as a method for landscape expression as the supplement of the existing three-dimensional object modeling in 3D GIS. Moreover, the panoramic epipolar constraint can improve the reliability, accuracy and speed of matching. However, this constrain has not been fully applied to the 3D information processing of spherical panorama. The paper focuses on the epipolar geometry for spherical panorama, and constructs the epipolar geometry based on the coplanar equation. Then, we derive the mathematical equations and their properties, thus provide a theoretical basis for the spherical panoramic epipolar line that could be used in the close-range digital photogrammetry. The experiment results show that the epipolar line is effectively validated, which can reduce the search range and obtain more useful information.

Key words: epipolar line, panoramic images, spherical projective geometry, image matching