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  <doc>
    <id>5487</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>doctoralthesis</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>2014-05-05</thesisDateAccepted>
    <title language="eng">Concepts and Algorithms for the Deformation, Analysis, and Compression of Digital Shapes</title>
    <abstract language="eng">This thesis concerns model reduction techniques for the efficient numerical treatment&#13;
of physical systems governing the deformation behavior of geometrically complex shapes.&#13;
We present new strategies for the construction of simplified,&#13;
low-dimensional models that capture the main features of the original complex system&#13;
and are suitable for use in interactive computer graphics applications.&#13;
To demonstrate the effectiveness of the new techniques we propose frameworks&#13;
for real-time simulation and interactive deformation-based modeling&#13;
of elastic solids and shells and compare them to alternative approaches.&#13;
In addition, we investigate differential operators that are derived from&#13;
the physical models and hence can serve as alternatives to the Laplace-Beltrami&#13;
operator for applications in modal shape analysis.&#13;
Furthermore, this thesis addresses the compression of digital shapes.&#13;
In particular, we present a lossless compression scheme that is adapted to&#13;
the special characteristics of adaptively refined, hierarchical meshes.</abstract>
    <identifier type="url">http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000096721</identifier>
    <identifier type="doi">10.17169/refubium-4697</identifier>
    <identifier type="urn">urn:nbn:de:kobv:188-fudissthesis000000096721-7</identifier>
    <enrichment key="FulltextUrl">http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000096721</enrichment>
    <advisor>Konrad Polthier</advisor>
    <author>Christoph von Tycowicz</author>
    <submitter>Christoph von Tycowicz</submitter>
    <collection role="msc" number="53-XX">DIFFERENTIAL GEOMETRY (For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx)</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="vontycowicz">Tycowicz, Christoph von</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <thesisGrantor>Freie Universität Berlin</thesisGrantor>
  </doc>
</export-example>
