Summary: Reconstruction of Quadrics from Two
Institute for Pattern Recognition and Image Processing
Computer Science Department, University of Freiburg
Georges-Koehler-Allee 52, 79110 Freiburg, Germany
Abstract. This paper addresses the problem of reconstructing texture-
less objects of quadric like shape. It is known that a quadric can be
uniquely recovered from its apparent contours in three views. But, in
the case of only two views the reconstruction is a one parameter family
Polarization imaging provides additional geometric information com-
pared to simple intensity based imaging. The polarization image encodes
the projection of the surface normals onto the image and therefore pro-
vides constraints on the surface geometry.
In this paper it is proven that two polarization views of a quadric con-
tain sufficient information for a complete determination of its shape.
The proof itself is constructive leading to a closed-form solution for the
quadric. Additionally, an indirect algorithm is presented which uses both