A Linear Extrinsic Calibration of Kaleidoscopic Imaging System
from Single 3D Point
Abstract
This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper
is a simultaneous estimation of all mirror parameters consistent throughout multiple reflections. Unlike conventional
methods utilizing a pair of direct and mirrored images of
a reference 3D object to estimate the parameters on a permirror basis, our method renders the simultaneous estimation problem into solving a linear set of equations. The key
contribution of this paper is to introduce a linear estimation
of multiple mirror parameters from kaleidoscopic 2D projections of a single 3D point of unknown geometry. Evaluations with synthesized and real images demonstrate the
performance of the proposed algorithm in comparison with
conventional methods