52 citations · 135 across the 55 of their papers we have counts for
4 papers · 1 filter
Geometric Interpretation of Brownian Motion on Riemannian Manifolds
Taeyoung Lee, Gregory S. Chirikjian
This paper presents a unified geometric framework for Brownian motion on manifolds, encompassing intrinsic Riemannian manifolds, embedded submanifolds, and Lie groups. The approach…
Means of Random Variables in Lie Groups
Shiraz Khan, Jikai Ye, Gregory S. Chirikjian
The concepts of mean (i.e., average) and covariance of a random variable are fundamental in statistics, and are used to solve real-world problems such as those that arise in roboti…
Fast Convolutions on via Radial Translational Dependence and Classical FFT
Arash Ghaani Farashahi, Gregory S. Chirikjian
Let denote the right coset space of the subgroup consisting of translational isometries of the orthogonal lattice in the non-Abelian g…
Reasoning and Learning a Perceptual Metric for Self-Training of Reflective Objects in Bin-Picking with a Low-cost Camera
Peiyuan Ni, Chee Meng Chew, Marcelo H. Ang +1
Bin-picking of metal objects using low-cost RGB-D cameras often suffers from sparse depth information and reflective surface textures, leading to errors and the need for manual lab…