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Abstract

This paper presents a linear solution for reconstructing the 3D trajectory of a moving point from its correspondence in a collection of 2D perspective images, given the 3D spatial pose and time of capture of the cameras that produced each image. Triangulation-based solutions do not apply, as multiple views of the point may not exist at each instant in time. A geometric analysis of the problem is presented and a criterion, called reconstructibility, is defined to precisely characterize the cases when reconstruction is possible, and how accurate it can be. We apply the linear reconstruction algorithm to reconstruct the time evolving 3D structure of several real-world scenes, given a collection of non-coincidental 2D images.

Keywords

Multiple view geometry, Non-rigid structure from motion, Trajectory basis, Reconstructibility

Notes

Associated Center(s) / Consortia: Vision and Autonomous Systems Center

Associated Lab(s) / Group(s): Computer Graphics Lab

Text Reference

Hyun Soo Park, Takaaki Shiratori, Iain Matthews, and Yaser Ajmal Sheikh, "3D Reconstruction of a Moving Point from a Series of 2D Projections," European Conference on Computer Vision, September, 2010.

BibTeX Reference

@inproceedings{Shiratori_2010_6643,
   author = "Hyun Soo Park and Takaaki Shiratori and Iain Matthews and Yaser Ajmal Sheikh",
   title = "3D Reconstruction of a Moving Point from a Series of 2D Projections",
   booktitle = "European Conference on Computer Vision",
   month = "September",
   year = "2010",
}

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