Date of Original Version

9-2010

Type

Conference Proceeding

Abstract or Description

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.

DOI

10.1007/978-3-642-15558-1_12

Included in

Robotics Commons

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Published In

Computer Vision – ECCV 2010 , LNCS 6313, 158-171.