A novel geometric invariant of a pair of conics and its application to eyeglasses-tracking interface
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-015-0410-7
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… read more here.
Keywords: geometric invariant; tracking interface; novel geometric; pair conics ... See more keywords
An analytic application of Geometric Invariant Theory
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104237
Abstract: Abstract Given a compact Kahler manifold, Geometric Invariant Theory is applied to construct analytic GIT-quotients that are local models for a classifying space of (poly)stable holomorphic vector bundles containing the coarse moduli space of stable bundles… read more here.
Keywords: invariant theory; geometric invariant; application geometric; analytic application ... See more keywords
Geometric invariant theory for graded unipotent groups and applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Topology"
DOI: 10.1112/topo.12075
Abstract: Let $U$ be a graded unipotent group over the complex numbers, in the sense that it has an extension $\hat{U}$ by the multiplicative group such that the action of the multiplicative group by conjugation on… read more here.
Keywords: geometric invariant; line; open subset; graded unipotent ... See more keywords