An elliptical function model for fisheye camera correction

Abstract

An elliptical function to model the nonlinear relation between 3D incoming rays and corresponding fisheye image coordinates is presented in this paper. Image coordinates are firstly lifted from a 2D plane to a five-dimensional quadratic space. And then the elliptical function model is built to use a linear combination of the distorted parameters of fisheye camera. Distorted parameters for fisheye camera can be estimated from the projection of 3D lines in the fisheye image. Finally, the fisheye image is corrected through the elliptical model parameters. Comparison experiments with synthetic data and real fisheye images using our model, Claus's model and Geyer's model are given, and experimental results show that our correction model is feasible and effective.