70 citations · 97 across the 3 of their papers we have counts for
5 papers
Directional Statistics and Filtering Using libDirectional
Gerhard Kurz, Igor Gilitschenski, Florian Pfaff +4
In this paper, we present libDirectional, a MATLAB library for directional statistics and directional estimation. It supports a variety of commonly used distributions on the unit c…
Recursive Bayesian Filtering in Circular State Spaces
Gerhard Kurz, Igor Gilitschenski, Uwe D. Hanebeck
For recursive circular filtering based on circular statistics, we introduce a general framework for estimation of a circular state based on different circular distributions, specif…
Exact and Approximate Hidden Markov Chain Filters Based on Discrete Observations
Nicole Bäuerle, Igor Gilitschenski, Uwe D. Hanebeck
We consider a Hidden Markov Model (HMM) where the integrated continuous-time Markov chain can be observed at discrete time points perturbed by a Brownian motion. The aim is to deri…
Efficient Evaluation of the Probability Density Function of a Wrapped Normal Distribution
Gerhard Kurz, Igor Gilitschenski, Uwe D. Hanebeck
The wrapped normal distribution arises when a the density of a one-dimensional normal distribution is wrapped around the circle infinitely many times. At first look, evaluation of…
Recursive Estimation of Orientation Based on the Bingham Distribution
Gerhard Kurz, Igor Gilitschenski, Simon Julier +1
Directional estimation is a common problem in many tracking applications. Traditional filters such as the Kalman filter perform poorly because they fail to take the periodic nature…