A cubic polynomial model for fisheye camera

Authors:
Haijiaing Zhu;Xiupu Yin;Jinglin Zhou
Affiliations:
School of Information Science & Technology, Beijing University of Chemical Technology, Beijing, China;School of Information Science & Technology, Beijing University of Chemical Technology, Beijing, China;School of Information Science & Technology, Beijing University of Chemical Technology, Beijing, China
Venue:
HCII'11 Proceedings of the 14th international conference on Human-computer interaction: design and development approaches - Volume Part I
Year:
2011

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Abstract

In this paper, we present a cubic polynomial model for fisheye camera by using the lifting strategy, which point coordinates in low dimensional space is lifted to a vector in high dimensional space. In contrast to the lifting strategies reported, our lifting strategy is to let 3D point coordinates appear in higher order polynomials. This paper displays that the cubic polynomial model can effectively express the fisheye image points as the cubic polynomial of world coordinates. Thus this allows a linear algorithm to estimate the nonlinear models, and in particular offers a simple solution to estimate the nonlinear between 3D point and its corresponding fisheye image points. Experimental results with synthetic data and real fisheye images show that the fisheye camera is modeled approximately through the cubic polynomial.