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Proceedings Paper

Polynomial methods for SfM assuming central projection
Author(s): Sahar M. Ghanem; Mohammed A. Ismail; Soheir A. Bassiony
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Paper Abstract

We are concerned with determining three-dimensional structure and motion of objects in space from images known as structure from motion (SfM) problem. We focus on a two-frame feature- based SfM problem. The reformulation of the problem using central projection as the projection model is demonstrated. A new capability of estimating focal length is introduced in addition to structure and motion parameters, which allows for processing uncalibrated camera. The use of polynomial systems of equations to formulate the problem is explained. The formulation of polynomial systems using the central projection model added a restriction that the depth of at least one of the feature points must be known. Thus it is assured that we solve for the true structure and translation (not to a scale factor).

Paper Details

Date Published: 28 December 1998
PDF: 12 pages
Proc. SPIE 3653, Visual Communications and Image Processing '99, (28 December 1998); doi: 10.1117/12.334688
Show Author Affiliations
Sahar M. Ghanem, Old Dominion Univ. (United States)
Mohammed A. Ismail, Alexandria Univ. (Egypt)
Soheir A. Bassiony, Alexandria Univ. (Egypt)


Published in SPIE Proceedings Vol. 3653:
Visual Communications and Image Processing '99
Kiyoharu Aizawa; Robert L. Stevenson; Ya-Qin Zhang, Editor(s)

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