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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."

Keyword : "A pair of two conics, eyeglasses-tracking interface, geometric invariance, P2C (perspective-twoconics), 3-D pose estimation."

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