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<journal-meta>
<journal-id journal-id-type="publisher">ISPRS-Archives</journal-id>
<journal-title-group>
<journal-title>ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">ISPRS-Archives</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2194-9034</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/isprs-archives-XLI-B3-425-2016</article-id>
<title-group>
<article-title>EXTENSION OF RCC TOPOLOGICAL RELATIONS FOR 3D COMPLEX OBJECTS
COMPONENTS EXTRACTED FROM 3D LIDAR POINT CLOUDS</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xing</surname>
<given-names>Xu-Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mostafavia</surname>
<given-names>Mir Abolfazl</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wang</surname>
<given-names>Chen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Dept. of Geomatics, Laval University, Québec, Canada</addr-line>
</aff>
<pub-date pub-type="epub">
<day>09</day>
<month>06</month>
<year>2016</year>
</pub-date>
<volume>XLI-B3</volume>
<fpage>425</fpage>
<lpage>432</lpage>
<permissions>
<license license-type="open-access">
<license-p/>
</license>
</permissions>
<self-uri xlink:href="https://isprs-archives.copernicus.org/articles/isprs-archives-XLI-B3-425-2016.html">This article is available from https://isprs-archives.copernicus.org/articles/isprs-archives-XLI-B3-425-2016.html</self-uri>
<self-uri xlink:href="https://isprs-archives.copernicus.org/articles/isprs-archives-XLI-B3-425-2016.pdf">The full text article is available as a PDF file from https://isprs-archives.copernicus.org/articles/isprs-archives-XLI-B3-425-2016.pdf</self-uri>
<abstract>
<p>Topological relations are fundamental for qualitative description, querying and analysis of a 3D scene. Although topological
relations for 2D objects have been extensively studied and implemented in GIS applications, their direct extension to 3D is very
challenging and they cannot be directly applied to represent relations between components of complex 3D objects represented by 3D
B-Rep models in &lt;i&gt;R&lt;/i&gt;&lt;sup&gt;3&lt;/sup&gt;. Herein we present an extended Region Connection Calculus (RCC) model to express and formalize topological
relations between planar regions for creating 3D model represented by Boundary Representation model in &lt;i&gt;R&lt;/i&gt;&lt;sup&gt;3&lt;/sup&gt;. We proposed a new
dimension extended 9-Intersection model to represent the basic relations among components of a complex object, including disjoint,
meet and intersect. The last element in 3*3 matrix records the details of connection through the common parts of two regions and the
intersecting line of two planes. Additionally, this model can deal with the case of planar regions with holes. Finally, the geometric
information is transformed into a list of strings consisting of topological relations between two planar regions and detailed
connection information. The experiments show that the proposed approach helps to identify topological relations of planar segments
of point cloud automatically.</p>
</abstract>
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