北京大学学报（自然科学版）2025，Vol.61Issue(3)：608-616,9.DOI:10.13209/j.0479-8023.2024.094
摄影测量共线方程参数化方法综述
A Review of Parameterization Methods for Collinear Equation in Photogrammetry
摘要
Abstract
The collinear equation serves as the cornerstone for establishing geometric relationships in photogram-metry,Nerf,and 3DGS theory.Its nonlinear optimization across diverse spatial domains profoundly influences the calculation accuracy of camera distortion,interior and exterior orientation parameters,and modeling quality of the ultimate reconstruction of real-world 3D scenes.At its core,the collinear equation hinges on three fundamental elements:image points,three-dimensional spatial features,and the parameterization of three-dimensional rotations.The research progress is delineated for parameterization methods of the collinear equation,focusing on these pivotal components.Additionally,it outlines potential avenues for future research,aiming to pave the way for advancements in this field.By transcending the confines of Euclidean space,novel perspectives are proposed on the collinear equation,envisioning the application in angular domain space.This fresh approach promises to provide valuable insights for improving the accuracy of camera state estimation and the overall modeling quality of real-world 3D scenes,stemming from a deep understanding of theoretical principles.关键词
共线方程/参数化/二维图像点/空间三维点/三维旋转/摄影测量Key words
collinear equation/parameterization/2D image point/3D feature point/3D rotation/Photogrammetry引用本文复制引用
左正康,董娇娇,张斌,张玲..摄影测量共线方程参数化方法综述[J].北京大学学报（自然科学版）,2025,61(3):608-616,9.基金项目
山西省青年科学研究项目(202403021212106)、太原理工大学引进人才科研启动经费(RY2400000591)、国家自然科学基金(42205057)和中国博士后科学基金(1232192)资助 （202403021212106）
