113 citations · 178 across the 13 of their papers we have counts for
14 papers
Bi-invariant Dissimilarity Measures for Sample Distributions in Lie Groups
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
Data sets sampled in Lie groups are widespread, and as with multivariate data, it is important for many applications to assess the differences between the sets in terms of their di…
Intrinsic shape analysis in archaeology: A case study on ancient sundials
Martin Hanik, Benjamin Ducke, Hans-Christian Hege +2
This paper explores a novel mathematical approach to extract archaeological insights from ensembles of similar artifact shapes. We show that by considering all the shape informatio…
Sensitive vPSA -- Exploring Sensitivity in Visual Parameter Space Analysis
Bernhard Fröhler, Tim Elberfeld, Torsten Möller +3
The sensitivity of parameters in computational science problems is difficult to assess, especially for algorithms with multiple input parameters and diverse outputs. This work seek…
A Nonlinear Hierarchical Model for Longitudinal Data on Manifolds
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
Large longitudinal studies provide lots of valuable information, especially in medical applications. A problem which must be taken care of in order to utilize their full potential…
An Interactive Approach for Identifying Structure Definitions
Natalia Mikula, Tom Dörffel, Daniel Baum +1
Our ability to grasp and understand complex phenomena is essentially based on recognizing structures and relating these to each other. For example, any meteorological description o…
A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds
Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz
In many applications, geodesic hierarchical models are adequate for the study of temporal observations. We employ such a model derived for manifold-valued data to Kendall's shape s…
Bi-invariant Two-Sample Tests in Lie Groups for Shape Analysis
Martin Hanik, Hans-Christian Hege, Christoph von Tycowicz
We propose generalizations of the Hotelling's statistic and the Bhattacharayya distance for data taking values in Lie groups. A key feature of the derived measures is that th…
Nonlinear Regression on Manifolds for Shape Analysis using Intrinsic Bézier Splines
Martin Hanik, Hans-Christian Hege, Anaja Hennemuth +1
Intrinsic and parametric regression models are of high interest for the statistical analysis of manifold-valued data such as images and shapes. The standard linear ansatz has been…
Geodesic analysis in Kendall's shape space with epidemiological applications
Esfandiar Nava-Yazdani, Hans-Christian Hege, T. J. Sullivan +1
We analytically determine Jacobi fields and parallel transports and compute geodesic regression in Kendall's shape space. Using the derived expressions, we can fully leverage the g…
ORBKIT - A Modular Python Toolbox for Cross-Platform Post-Processing of Quantum Chemical Wavefunction Data
Gunter Hermann, Vincent Pohl, Jean Christophe Tremblay +3
ORBKIT is a toolbox for post-processing electronic structure calculations based on a highly modular and portable Python architecture. The program allows computing a multitude of el…
Dust and gas emission from cometary nuclei: the case of comet 67P/Churyumov-Gerasimenko
Tobias Kramer, Matthias Noack, Daniel Baum +2
Comets display with decreasing solar distance an increased emission of gas and dust particles, leading to the formation of the coma and tail. Spacecraft missions provide insight in…
Acceleration feature points of unsteady shear flows
Jens Kasten, Jan Reininghaus, Ingrid Hotz +4
In this paper, we propose a novel framework to extract features such as vortex cores and saddle points in two-dimensional unsteady flows. This feature extraction strategy generaliz…
Visualization in Connectomics
Hanspeter Pfister, Verena Kaynig, Charl P. Botha +4
Connectomics is a field of neuroscience that analyzes neuronal connections. A connectome is a complete map of a neuronal system, comprising all neuronal connections between its str…
Autocorrelation in Updating Pure SU(3) Lattice Gauge Theory by the use of Overrelaxed Algorithms
K. Akemi, Ph. deForcrand, M. Fujisaki +8
We measure the sweep-to-sweep autocorrelations of blocked loops below and above the deconfinement transition for SU(3) on a lattice using 20000-140000 Monte-Carlo updating s…