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A system for recovering 3-D motion and structure

Published: 01 June 1990 Publication History

Abstract

We discuss the problem of recovering the 3-D motion and structure. An algorithm for computing the camera motion and the orientation of planar surface is developed. It solves for the 3-D motion and structure iteratively given two successive image frames. We improve the solution by solving the ordinary differential equations which describe the evolution of motion and structure over time. The solution is further improved by exploiting the temporal coherence of 3-D motion. We develop the ordinary differential equations which describe the evolution of the parameters in terms of the current parameters and the measurements. The extended Kalman filter is then used to update the solution of the differential equations. The robustness of the entire process is demonstrated by the experiment with a moving camera which “flies” over a terrain model.

References

[1]
H.C. Longuet-Higgins and K.Prazdny, The interpretation of a moving Retinal Image, Proc. Royal Society of London B, 208, 385-397.
[2]
R.Y. Tsai and S.T. Huang, "Estimating three-dimensional motion parameters of a rigid planar patch",IEEE Transactions on Acoustics, Speech and Signal Processing, ASSP-29(6), December 1981.
[3]
S. Ullman, Maximizing Rigidity: The incremental recovery of 3-D structure from rigid and rubbery motion, AI Memo 721, MIT AI lab. 1983.
[4]
A.M. Waxman and S. Ullman, Surface Structure and 3-D Motion From Image Flow: A Kinematic Analysis, CAR-TR-24, Center for Automation Research, University of Maryland, October 1983.
[5]
M. Subbarao and A.M. Waxrnan, On The Uniqueness of Image Flow Solutions for Planar Surfaces in Motion, CAR-TR-113, Center for Automation Research, University of Maryland, April 1985.
[6]
N.M. Grzywacz and E.C. Hildreth, The Incremental Rigidity Scheme for Recovering Structure from Motion: Position vs. Velocity Based Formulations, MIT A.I. Memo No. 845, October 1985.
[7]
J. Weng, T.S. Huang and N. Ahuja, "3-D Motion Estimation, Understanding and Prediction from Noisy Image Sequences", IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-9(3), May 1987.
[8]
S-L. Iu and K. Wohn, "Estimation of 3-D Motion and Structure Based on a Temporally Oriented Approach with the Method of Regression", {EEE Workshop on Visual Motion, March 1989, Irvine, CA, 273-281.

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cover image ACM Conferences
IEA/AIE '90: Proceedings of the 3rd international conference on Industrial and engineering applications of artificial intelligence and expert systems - Volume 1
June 1990
582 pages
ISBN:0897913728
DOI:10.1145/98784
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 1990

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