Polynomial methods for SfM assuming central projection

Sahar M. Ghanem; Mohammed A. Ismail; Soheir A. Bassiony

doi:10.1117/12.334688

28 December 1998 Polynomial methods for SfM assuming central projection

Sahar M. Ghanem, Mohammed A. Ismail, Soheir A. Bassiony

Proceedings Volume 3653, Visual Communications and Image Processing '99; (1998) https://doi.org/10.1117/12.334688
Event: Electronic Imaging '99, 1999, San Jose, CA, United States

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).

Citation Download Citation

Sahar M. Ghanem, Mohammed A. Ismail, and Soheir A. Bassiony "Polynomial methods for SfM assuming central projection", Proc. SPIE 3653, Visual Communications and Image Processing '99, (28 December 1998); https://doi.org/10.1117/12.334688

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