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Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications


TopoInVis 2013 at the ARC Conference Center
UC Davis March 4-6, 2013

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the extension of concepts to time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc.

In this forum we will bring together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field.

At the workshop we will discuss topics, which include:
  • scalar/vector/tensor field topology
  • topology of point sets and cell complexes
  • multi-field topology
  • theoretical models
  • combinatorial methods and robustness
  • multi-scale representation models
  • higher-order topological methods
  • time-dependent methods
  • feature extraction
  • Lagrangian coherent structures
  • topology-based denoising
  • topological similarity and correlation
  • topology simplification
  • user interfaces and visualization
  • domain specific interpretation of topological constructs and results
  • efficiency of topological algorithms

The 2013 workshop in Davis, USA follows the four successful workshops in 2005 (Budmerice, Slovakia), 2007 (Grimma, Germany), 2009 (Snowbird, USA), and 2011 Zurich, Switzerland. It will be held in an open atmosphere of informal discussions, open exchange and personal interaction. Submissions are peer-reviewed before the workshop. All accepted papers must be presented at the workshop. A selection of the papers presented at the workshop will be invited for a book published in the Mathematics + Visualization series of Springer.

Program Chairs (alphabetic order): Peer-Timo Bremer (LLNL), Ingrid Hotz (Zuse Institute Berlin), Valerio Pascucci (University of Utah), and Ronald Peikert (ETH Zürich)

Accepted Papers
Program

Accepted Papers


Ronald Peikert, Armin Pobitzer, Filip Sadlo and Benjamin Schindler
A Comparison of Finite-Time and Finite-Size Lyapunov Exponents

Valentin Zobel, Jan Reininghaus and Ingrid Hotz
Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature

David Guenther, Jan Reininghaus, Hans-Peter Seidel and Tino Weinkauf
Notes on the Simplification of the Morse-Smale Complex

David Duke and Hamish Carr
Parallel Computational Topology via Functional Programming: A Baseline Analysis

Jens Kasten, Jan Reininghaus, Wieland Reich and Gerik Scheuermann
Towards the Extraction of Saddle Periodic Orbits

Michael Kerber, Jan Reininghaus and Ulrich Bauer
Clear and Compress: Computing Persistent Homology in Chunks

Filip Sadlo, Grzegorz Karch and Thomas Ertl
Topological Features in Time-Dependent Advection-Diffusion Flow

Nicholas Brunhart-Lupo and Andrzej Szymczak
Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields

Levente Sipeki and Andrzej Szymczak
Simplification of Morse Decompositions using Morse Set Mergers

Dmitriy Morozov and Gunther Weber
Distributed Contour Trees

Hugh Cassidy, Thomas Peters and Kirk Jordan
Topological Integrity for Dynamic Spline Models

Lars Huettenberger, Harald Obermaier, Christoph Garth, Ken Joy and Hans Hagen
Topological Aspects of Material Interface Reconstruction: Challenges and Perspectives

Harsh Bhatia, Attila Gyulassy, Hao Wang, Peer-Timo Bremer and Valerio Pascucci
Robust Detection of Singularities in Vector Fields

Ulrike Homberg, Daniel Baum, Alexander Wiebel, Steffen Prohaska and Hans-Christian Hege
Definition, Extraction, and Validation of Pore Structures in Porous Media

Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther H. Weber and Bernd Hamann
Measuring The Distance Between Merge Trees

Sohail Shafii, Harald Obermaier, Bernd Hamann and Kenneth Joy
Topological Features in Glyph-Based Corotation Visualization

Dmitriy Morozov, Kenes Beketayev and Gunther Weber
Interleaving Distance between Merge Trees

Dan Maljovec, Avishek Saha, Peter Lindstrom, Peer-Timo Bremer, Bei Wang, Carlos Correa and Valerio Pascucci
A Comparative Study of Morse Complex Approximation Using Different Neighborhood Graphs

Primoz Skraba and Bei Wang
Interpreting Feature Tracking Through the Lens of Robustness

Siavash Ameli, Yogin Desai and Shawn Shadden
Development of an efficient and flexible pipeline for Lagrangian coherent structure computation

 



Program

Monday, March 4 (7am - 5pm)

08:00-09:00 Registration & Breakfast
09:00-09:15 Opening
09:15-10:15 Keynote Talk: Kwan-Liu Ma - "Emerging Topics for Visualization Research"
Abstract:
Our field has made a lot of progress over the past 25 years. Many in science, engineering, biomedicine, commerce, and intelligence now rely on visualization as a tool for their daily work. While praising our accomplishments so far, we still have many challenges to address. Especially, the tremendous interest in BigData brings new dimensions to visualization research. In this talk, I will suggest a few essential directions for further research and show some preliminary results created by my group.
10:15-10:45 Coffee Break
10:45-12:00
(each 25min)
Paper Session 1: Flow - FTLE - LCS
  • Ronald Peikert, Armin Pobitzer, Filip Sadlo and Benjamin Schindler
    A Comparison of Finite-Time and Finite-Size Lyapunov Exponents
  • Filip Sadlo, Grzegorz Karch and Thomas Ertl.
    Topological Features in Time-Dependent Advection-Diffusion Flow
  • Siavash Ameli, Yogin Desai and Shawn Shadden.
    Development of an efficient and flexible pipeline for Lagrangian coherent structure computation
12:00-13:30 Lunch
13:30-15:10 Paper Session 2: Morse Smale Complex - Simplification - Persistent Homology
  • David Guenther, Jan Reininghaus, Hans-Peter Seidel and Tino Weinkauf.
    Notes on the Simplification of the Morse-Smale Complex
  • Levente Sipeki and Andrzej Szymczak.
    Simplification of Morse Decompositions using Morse Set Mergers
  • Dan Maljovec, Avishek Saha, Peter Lindstrom, Peer-Timo Bremer, Bei Wang, Carlos Correa and Valerio Pascucci.
    A Comparative Study of Morse Complex Approximation Using Different Neighborhood Graphs
  • Michael Kerber, Jan Reininghaus and Ulrich Bauer.
    Clear and Compress: Computing Persistent Homology in Chunks
15:10-15:40 Coffee Break
15:40-17:00 Panel 1


Tuesday, March 5 (7am – 5pm)

08:00-09:00 Breakfast
09:00-10:00 Keynote Talk:
10:00-10:30 Coffee Break
10:30-11:45 Paper Session 3: Applications
  • Ulrike Homberg, Daniel Baum, Alexander Wiebel, Steffen Prohaska and Hans-Christian Hege.
    Definition, Extraction, and Validation of Pore Structures in Porous Media
  • Lars Huettenberger, Harald Obermaier, Christoph Garth, Ken Joy and Hans Hagen.
    Topological Aspects of Material Interface Reconstruction: Challenges and Perspectives
  • David Duke and Hamish Carr.
    Parallel Computational Topology via Functional Programming: A Baseline Analysis
12:00-13:30 Lunch
13:30-15:10 Paper Session 4: Contourtree - Well Groups
  • Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther H. Weber and Bernd Hamann.
    Measuring The Distance Between Merge Trees
  • Dmitriy Morozov and Gunther Weber.
    Distributed Contour Trees
  • Dmitriy Morozov, Kenes Beketayev and Gunther Weber.
    Interleaving Distance between Merge Trees
  • Primoz Skraba and Bei Wang.
    Interpreting Feature Tracking Through the Lens of Robustness
15:10-15:40 Coffee Break
15:40-17:00 Panel 2


Wednesday, March 6 (7am – 2pm)

08:00-09:00 Breakfast
09:00-10:15 Paper Session 5: Vector fields
  • Nicholas Brunhart-Lupo and Andrzej Szymczak.
    Parallel Computation of Nearly Recurrent Components of Piecewise Constant Vector Fields
  • Jens Kasten, Jan Reininghaus, Wieland Reich and Gerik Scheuermann.
    Towards the Extraction of Saddle Periodic Orbits
  • Harsh Bhatia, Attila Gyulassy, Hao Wang, Peer-Timo Bremer and Valerio Pascucci.
    Robust Detection of Singularities in Vector Fields
10:15-10:45 10:15-10:45 Coffee Break
10:45-12:00 Paper Session 6: Tensors and Geometry
  • Sohail Shafii, Harald Obermaier, Bernd Hamann and Kenneth Joy.
    Topological Features in Glyph-Based Corotation Visualization
  • Valentin Zobel, Jan Reininghaus and Ingrid Hotz.
    Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature
  • Hugh Cassidy, Thomas Peters and Kirk Jordan
    Topological Integrity for Dynamic Spline Models
12:00-13:30 Lunch
13:30-14:00 Closing