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<titleInfo><title>Stable length estimates of tube-like shapes</title></titleInfo>

  
  
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  <namePart type="given">Herbert</namePart>
  <namePart type="family">Edelsbrunner</namePart>
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  <namePart type="given">Florian</namePart>
  <namePart type="family">Pausinger</namePart>
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  <namePart>DGCI: Discrete Geometry for Computer Imagery</namePart>
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<abstract lang="eng">Mathematical objects can be measured unambiguously, but not so objects from our physical world. Even the total length of tubelike shapes has its difficulties. We introduce a combination of geometric, probabilistic, and topological methods to design a stable length estimate for tube-like shapes; that is: one that is insensitive to small shape changes.</abstract>

<originInfo><publisher>Springer</publisher><dateIssued encoding="w3cdtf">2013</dateIssued><place><placeTerm type="text">Seville, Spain</placeTerm></place>
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<relatedItem type="host"><titleInfo><title>17th IAPR International Conference on Discrete Geometry for Computer Imagery</title></titleInfo><identifier type="doi">10.1007/978-3-642-37067-0</identifier>
<part><detail type="volume"><number>7749</number></detail><extent unit="pages">XV - XIX</extent>
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<mla>Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.” &lt;i&gt;17th IAPR International Conference on Discrete Geometry for Computer Imagery&lt;/i&gt;, vol. 7749, Springer, 2013, pp. XV–XIX, doi:&lt;a href=&quot;https://doi.org/10.1007/978-3-642-37067-0&quot;&gt;10.1007/978-3-642-37067-0&lt;/a&gt;.</mla>
<short>H. Edelsbrunner, F. Pausinger, in:, 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Springer, 2013, pp. XV–XIX.</short>
<apa>Edelsbrunner, H., &amp;#38; Pausinger, F. (2013). Stable length estimates of tube-like shapes. In &lt;i&gt;17th IAPR International Conference on Discrete Geometry for Computer Imagery&lt;/i&gt; (Vol. 7749, pp. XV–XIX). Seville, Spain: Springer. &lt;a href=&quot;https://doi.org/10.1007/978-3-642-37067-0&quot;&gt;https://doi.org/10.1007/978-3-642-37067-0&lt;/a&gt;</apa>
<chicago>Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.” In &lt;i&gt;17th IAPR International Conference on Discrete Geometry for Computer Imagery&lt;/i&gt;, 7749:XV–XIX. Springer, 2013. &lt;a href=&quot;https://doi.org/10.1007/978-3-642-37067-0&quot;&gt;https://doi.org/10.1007/978-3-642-37067-0&lt;/a&gt;.</chicago>
<ieee>H. Edelsbrunner and F. Pausinger, “Stable length estimates of tube-like shapes,” in &lt;i&gt;17th IAPR International Conference on Discrete Geometry for Computer Imagery&lt;/i&gt;, Seville, Spain, 2013, vol. 7749, pp. XV–XIX.</ieee>
<ama>Edelsbrunner H, Pausinger F. Stable length estimates of tube-like shapes. In: &lt;i&gt;17th IAPR International Conference on Discrete Geometry for Computer Imagery&lt;/i&gt;. Vol 7749. Springer; 2013:XV-XIX. doi:&lt;a href=&quot;https://doi.org/10.1007/978-3-642-37067-0&quot;&gt;10.1007/978-3-642-37067-0&lt;/a&gt;</ama>
<ista>Edelsbrunner H, Pausinger F. 2013. Stable length estimates of tube-like shapes. 17th IAPR International Conference on Discrete Geometry for Computer Imagery. DGCI: Discrete Geometry for Computer Imagery, LNCS, vol. 7749, XV–XIX.</ista>
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