Publication

Exhaustive linearization for robust camera pose and focal length estimation

Journal Article (2013)

Journal

IEEE Transactions on Pattern Analysis and Machine Intelligence

Pages

2387-2400

Volume

35

Number

10

Doc link

http://dx.doi.org/10.1109/TPAMI.2013.36

File

Download the digital copy of the doc pdf document

Abstract

We propose a novel approach for the estimation of the pose and focal length of a camera from a set of 3D-to-2D point correspondences. Our method compares favorably to competing approaches in that it is both more accurate than existing closed form solutions, as well as faster and also more accurate than iterative ones. Our approach is inspired on the EPnP algorithm, a recent O(n) solution for the calibrated case. Yet, we show that considering the focal length as an additional unknown renders the linearization and relinearization techniques of the original approach no longer valid, especially with large amounts of noise. We present new methodologies to circumvent this limitation termed exhaustive linearization and exhaustive relinearization which perform a systematic exploration of the solution space in closed form. The method is evaluated on both real and synthetic data, and our results show that besides producing precise focal length estimation, the retrieved camera pose is almost as accurate as the one computed using the EPnP, which assumes a calibrated camera.

Categories

computer vision.

Author keywords

camera calibration, perspective-n-point problem

Scientific reference

A. Penate-Sanchez, J. Andrade-Cetto and F. Moreno-Noguer. Exhaustive linearization for robust camera pose and focal length estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 35(10): 2387-2400, 2013.