Paper Description: MIP-0708

BibTeX entry:

@incollection{MIP-0708,
author="T. Hanning, S. Graf",
title="Euclidean vs. projective camera calibration: Algorithms and Effects on 3D-reconstruction",
institution="Fakult{\"a}t f{\"u}r Informatik und Mathematik, Universit{\"a}t Passau",
year=2007
number={MIP-0708}
}

Abstract:

The camera mapping can be seen in two ways. The classic approach is to emphasize the projective nature of the camera. But also the re-projective nature can be taken into account: Every point in the image plane determines a viewing ray. Both mappings can be described by the same set of parameters. In fact the re-projective camera mapping can be seen as the inversion of the projective camera mapping. A calibration algorithm determines the parameters which describe the camera mapping in a non-linear optimization algorithm. In this article we compare two error functions: The projective error function measures the distance of the projected prototype to the observed points in the image plane. The re-projective error function measures the distance of the prototype to the re-projected rays, which are determined by the observed points. We present calibration algorithms considering distortions for both error functions and compare them with regard to the 3D-reconstruction problem.

Paper itself:

• MIP-0708.pdf