This Letter proposes a generalized unified model (GUM) for the calibration of noncentral catadioptric cameras. Releasing the constraint on the projection center and the orientation of the imaging plane that the traditional unified projection model has, the new model is able to well compensate the misalignment between the mirror and the camera. Being a compact and approximate central model, the GUM inherits the flexibility and simplicity from the unified model while maintaining accuracy even under severe misalignment. The calibration algorithm to compute the describing parameters of the model is also given. With the GUM, the calibration of central or noncentral systems could be treated with equal simplicity (or complexity). Experiments on both synthetic data and real images proved our success.
© 2013 Optical Society of America
Original Manuscript: February 11, 2013
Revised Manuscript: March 19, 2013
Manuscript Accepted: March 21, 2013
Published: April 18, 2013
Zhiyu Xiang, Xing Dai, and Xiaojin Gong, "Noncentral catadioptric camera calibration using a generalized unified model," Opt. Lett. 38, 1367-1369 (2013)