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Type: Conference paper
Title: Determining the translational speed of a camera from time-varying optical flow
Author: Van Den Hengel, A.
Chojnacki, W.
Brooks, M.
Citation: Complex motion [electronic resource] : first international workshop, IWCM 2004, Günzburg, Germany, October 12-14, 2004 : revised papers / Bernd Jähne, Rudolf Mester, Erhardt Barth and Hanno Scharr (eds.), pp. 190-197.
Publisher: Springer
Publisher Place: Germany
Issue Date: 2007
Series/Report no.: Lecture notes in computer science ; 3417.
ISBN: 3540698647
ISSN: 0302-9743
Conference Name: International Workshop on Complex Motion (1st : 2004 : Günzdurg, Germany)
Statement of
Anton van den Hengel, Wojciech Chojnacki and Michael J. Brooks
Abstract: Under certain assumptions, a moving camera can be self-calibrated solely on the basis of instantaneous optical flow. However, due to a fundamental indeterminacy of scale, instantaneous optical flow is insufficient to determine the magnitude of the camera’s translational velocity. This is equivalent to the baseline length indeterminacy encountered in conventional stereo self-calibration. In this paper we show that if the camera is calibrated in a certain weak sense, then, by using time-varying optical flow, the velocity of the camera may be uniquely determined relative to its initial velocity. This result enables the calculation of the camera’s trajectory through the scene over time. A closed-form solution is presented in the continuous realm, and its discrete analogue is experimentally validated.
Description: The original publication is available at
RMID: 0020073680
DOI: 10.1007/978-3-540-69866-1_14
Published version:
Appears in Collections:Computer Science publications

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