|A Novel Geometric Invariant of a Pair of Conics and its Application to Eyeglasses-tracking Interface
Heon-Hui Kim and Kwang-Hyun Park*
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1332-1341, 2017
Abstract : "This paper deals with a three-dimensional (3-D) pose estimation problem of a pair of two conics. We first
introduce a novel geometric invariant derived from a pair of conics, and then propose a procedure of determining
a set of three invariants when two independent conics are given. As a solution of P2C (perspective-two-conics)
problem, this paper also provides a pose estimation algorithm that employs an iterative procedure, which aims
to optimize the orientation parameters by involving the shape information of conics. The proposed method is
verified through a series of experiments for analyzing pose estimation accuracy and precision, being compared with
some general approaches. As an application example, we present an eyeglasses-tracking interface, and discuss its
performance through some experiment results."
"A pair of two conics, eyeglasses-tracking interface, geometric invariance, P2C (perspective-twoconics), 3-D pose estimation."
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