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一种重构直线运动轨迹的新方法

DOI: 10.11834/jig.20030123

Keywords: 轨迹三角形法,测量矩阵,三维重构

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Abstract:

由于拍摄图象的摄像机可以是一个移动的摄像机,或是由空间中多个不同位置的摄像机组成的集合,因此开展由多幅图象上的测量值来重构物体在三维空间中运动轨迹的方法研究是一个热点问题.Shashua等首先提出了一种"轨迹三角形法".该方法是在关于运动轨迹的某些约束条件下,借助于Grassmann-Carley代数和Plücker坐标,再利用点与直线的相关性来求出3D空间中的直线(运动轨迹),但该方法较复杂.为了快速简便地实现直线运动轨迹的重构,提出了一种基于“测量矩阵”秩的2约束的新方法.这种方法简单、直接,可在一般的射影坐标系下实现.虽然该方法是针对直线运动轨迹提出的,但它可以方便地推广到高次多项式曲线运动轨迹的重构.

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