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  <doc>
    <id>1215</id>
    <completedYear/>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2011-02-10</completedDate>
    <publishedDate>2011-02-10</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields</title>
    <abstract language="eng">We propose a combinatorial algorithm to track critical points of 2D&#13;
time-dependent scalar fields. Existing tracking algorithms such as Feature&#13;
Flow Fields apply numerical schemes utilizing derivatives of the data,&#13;
which makes them prone to noise and involve a large number of computational&#13;
parameters. In contrast, our method is robust against noise&#13;
since it does not require derivatives, interpolation, and numerical integration.&#13;
Furthermore, we propose an importance measure that combines the&#13;
spatial persistence of a critical point with its temporal evolution. This&#13;
leads to a time-aware feature hierarchy, which allows us to discriminate&#13;
important from spurious features. Our method requires only a single,&#13;
easy-to-tune computational parameter and is naturally formulated in an&#13;
out-of-core fashion, which enables the analysis of large data sets. We apply&#13;
our method to a number of data sets and compare it to the stabilized&#13;
continuous Feature Flow Field tracking algorithm.</abstract>
    <identifier type="serial">11-02</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-12151</identifier>
    <author>Jan Reininghaus</author>
    <submitter>-empty- (Opus4 user: )</submitter>
    <author>Jens Kasten</author>
    <author>Tino Weinkauf</author>
    <author>Ingrid Hotz</author>
    <series>
      <title>ZIB-Report</title>
      <number>11-02</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>data analysis</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>feature detection</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>time-varying data</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>topology-based techniques</value>
    </subject>
    <collection role="msc" number="05C85">Graph algorithms [See also 68R10, 68W05]</collection>
    <collection role="msc" number="37D15">Morse-Smale systems</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1215/ZR-11-02.pdf</file>
  </doc>
  <doc>
    <id>1244</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2011-03-17</completedDate>
    <publishedDate>2011-03-17</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Screen-Space Sampling for Volume Ray-Casting</title>
    <abstract language="eng">This work is concerned with adaptive screen-space sampling for volume ray-casting. The goal is to reduce the&#13;
number of rays being cast into the scene and, thus, the overall number of sampling points. We guarantee reliable&#13;
images through explicit error control using an error estimator that is founded in the field of finite element methods&#13;
(FEM). FEM theory further provides a well-founded theory to prove the efficiency of the presented algorithm via&#13;
convergence analysis. We, therefore, compare the convergence behavior of our method against uniform subdivisions&#13;
and a refinement scheme that was presented in the context of CPU volume ray-casting. Minimizing&#13;
the number of sampling points is of interest for rendering large datasets where each evaluation might need an expensive&#13;
decompression. Furthermore, with increasing screen resolutions high-resolution images are created more&#13;
efficiently with our method.</abstract>
    <identifier type="serial">11-04</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-12446</identifier>
    <author>Andrea Kratz</author>
    <submitter>Andrea Kratz</submitter>
    <author>Jan Reininghaus</author>
    <author>Markus Hadwiger</author>
    <author>Ingrid Hotz</author>
    <series>
      <title>ZIB-Report</title>
      <number>11-04</number>
    </series>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="kratz">Kratz, Andrea</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1244/TR-1104.pdf</file>
  </doc>
  <doc>
    <id>4114</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>doctoralthesis</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation>Freie Universität Berlin</contributingCorporation>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computational discrete Morse theory</title>
    <author>Jan Reininghaus</author>
    <collection role="collections" number="">Dissertationen</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <thesisGrantor>Otto-von-Guericke-Universität Magdeburg</thesisGrantor>
  </doc>
  <doc>
    <id>4371</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>other</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices</title>
    <identifier type="url">http://arxiv.org/abs/1208.6523</identifier>
    <identifier type="arxiv">1208.6523v1</identifier>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Jan Reininghaus</author>
    <author>David Günther</author>
    <author>Ingrid Hotz</author>
    <author>Tino Weinkauf</author>
    <author>Hans Peter Seidel</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>4373</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>959</pageFirst>
    <pageLast>969</pageLast>
    <pageNumber/>
    <edition/>
    <issue>10</issue>
    <volume>28</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient Computation of 3D Morse-Smale Complexes and Persistent Homology using Discrete Morse Theory</title>
    <parentTitle language="eng">The Visual Computer</parentTitle>
    <identifier type="doi">10.1007/s00371-012-0726-8</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>David Günther</author>
    <author>Jan Reininghaus</author>
    <author>Hubert Wagner</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>4381</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>3</pageFirst>
    <pageLast>14</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>incollection</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computational Discrete Morse Theory for Divergence-Free 2D &#13;
Vector Fields</title>
    <parentTitle language="eng">Topological Methods in Data Analysis and Visualization. &#13;
Theory, Algorithms, and Applications. (TopoInVis 2011)</parentTitle>
    <enrichment key="Series">Mathematics and Visualization</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jan Reininghaus</author>
    <editor>Ronald Peikert</editor>
    <author>Ingrid Hotz</author>
    <editor>Hamish Carr</editor>
    <editor>Helwig Hauser</editor>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>4382</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1563</pageFirst>
    <pageLast>1573</pageLast>
    <pageNumber/>
    <edition/>
    <issue>9</issue>
    <volume>18</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient Computation of Combinatorial Feature Flow Fields</title>
    <parentTitle language="eng">Transactions on Visualization and Computer Graphics</parentTitle>
    <identifier type="doi">10.1109/TVCG.2011.269</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jan Reininghaus</author>
    <author>Jens Kasten</author>
    <author>Tino Weinkauf</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3608</id>
    <completedYear>2013</completedYear>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>249</pageFirst>
    <pageLast>262</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>incollection</type>
    <publisherName/>
    <publisherPlace>Davis, CA, USA</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature</title>
    <parentTitle language="eng">Topological Methods in Data Analysis and Visualization III</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Valentin Zobel</author>
    <author>Jan Reininghaus</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="visalgo">Visual Data Analysis in Science and Engineering</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3648</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName>Kluwer Academic Publishers</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory</title>
    <parentTitle language="eng">Proc. Sibgrapi – Conference on Graphics, Patterns and Images</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>David Günther</author>
    <author>Jan Reininghaus</author>
    <author>Hubert Wagner</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3649</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>71</pageFirst>
    <pageLast>78</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>Eurographics Association</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">SHREC 2011: robust feature detection and description benchmark</title>
    <parentTitle language="eng">Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR’11)</parentTitle>
    <identifier type="doi">10.2312/3DOR/3DOR11/079-088 target</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Edmond Boyer</author>
    <author>Alexander Bronstein</author>
    <author>Michael Bronstein</author>
    <author>Benjamin Bustos</author>
    <author>Tal Darom</author>
    <author>Radu Horaud</author>
    <author>Ingrid Hotz</author>
    <author>Yosi Keller</author>
    <author>Johannes Keustermans</author>
    <author>Artiom Kovnatsky</author>
    <author>Roee Litman</author>
    <author>Jan Reininghaus</author>
    <author>Ivan Sipiran</author>
    <author>Dirk Smeets</author>
    <author>Paul Suetens</author>
    <author>Dirk Vandermeulen</author>
    <author>Andrei Zaharescu</author>
    <author>Valentin Zobel</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3646</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>2080</pageFirst>
    <pageLast>2087target</pageLast>
    <pageNumber/>
    <edition/>
    <issue>12</issue>
    <volume>17</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude</title>
    <parentTitle language="eng">IEEE Transactions on Visualization and Computer Graphics</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jens Kasten</author>
    <author>Jan Reininghaus</author>
    <author>Ingrid Hotz</author>
    <author>Hans-Christian Hege</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="visalgo">Visual Data Analysis in Science and Engineering</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="projects" number="FLOW-ANALYSISII">FLOW-ANALYSISII</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3647</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>2045</pageFirst>
    <pageLast>2052</pageLast>
    <pageNumber/>
    <edition/>
    <issue>12</issue>
    <volume>17</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields</title>
    <parentTitle language="eng">Visualization and Computer Graphics, IEEE Transactions on</parentTitle>
    <identifier type="doi">10.1109/TVCG.2011.159</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jan Reininghaus</author>
    <author>N. Kotava</author>
    <author>David Günther</author>
    <author>Jens Kasten</author>
    <author>Hans Hagen</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3686</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1433</pageFirst>
    <pageLast>1443</pageLast>
    <pageNumber/>
    <edition/>
    <issue>10</issue>
    <volume>17</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Fast Combinatorial Vector Field Topology</title>
    <parentTitle language="eng">IEEE Trans. Computer Graphics and Visualization</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jan Reininghaus</author>
    <author>Christian Löwen</author>
    <author>Ingrid Hotz</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3691</id>
    <completedYear>2010</completedYear>
    <publishedYear>2010</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>other</type>
    <publisherName>Visualization at 28th Annual Gallery of Fluid Motion exhibit, held at the 63th Annual Meeting of the American Physical Society, Division of Fluid Dynamics (Long Beach, CA, USA, November 21-23, 2010).</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Flow over a Cavity – Evolution of the Vortex Skeleton</title>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Jens Kasten</author>
    <author>Jan Reininghaus</author>
    <author>Kilian Oberleithner</author>
    <author>Ingrid Hotz</author>
    <author>Bernd Noack</author>
    <author>Hans-Christian Hege</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="visalgo">Visual Data Analysis in Science and Engineering</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="projects" number="FLOW-ANALYSISII">FLOW-ANALYSISII</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3710</id>
    <completedYear>2010</completedYear>
    <publishedYear>2010</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>198</pageFirst>
    <pageLast>208</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>6327</volume>
    <type>conferenceobject</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory</title>
    <parentTitle language="eng">Mathematical Software - ICMS 2010</parentTitle>
    <identifier type="doi">10.1007/978-3-642-15582-6_35</identifier>
    <enrichment key="Series">Lecture Notes in Computer Science</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Jan Reininghaus</author>
    <author>David Günther</author>
    <author>Ingrid Hotz</author>
    <author>Steffen Prohaska</author>
    <author>Hans-Christian Hege</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="visalgo">Visual Data Analysis in Science and Engineering</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="institutes" number="compvis">Vergleichende Visualisierung</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="persons" number="prohaska">Prohaska, Steffen</collection>
    <collection role="projects" number="CVT">CVT</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>3666</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>15</pageFirst>
    <pageLast>29</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
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    <abstract language="eng">A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows:&#13;
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(2) an incompressible planar mixing layer and&#13;
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The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.</abstract>
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    <title language="eng">Acceleration feature points of unsteady shear flows</title>
    <abstract language="eng">A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.</abstract>
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