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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ISPRS-Annals</journal-id>
<journal-title-group>
<journal-title>ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">ISPRS-Annals</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">ISPRS Ann. Photogramm. Remote Sens. Spatial Inf. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2194-9050</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-annals-III-3-107-2016</article-id>
<title-group>
<article-title>CONVEX IMAGE ORIENTATION FROM RELATIVE ORIENTATIONS</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Reich</surname>
<given-names>M.</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>Heipke</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Institute of Photogrammetry and GeoInformation, Leibniz Universität Hannover, Nienburger Str. 1, 30167 Hannover, Germany</addr-line>
</aff>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2016</year>
</pub-date>
<volume>III-3</volume>
<fpage>107</fpage>
<lpage>114</lpage>
<permissions>
<license license-type="open-access">
<license-p/>
</license>
</permissions>
<self-uri xlink:href="https://isprs-annals.copernicus.org/articles/isprs-annals-III-3-107-2016.html">This article is available from https://isprs-annals.copernicus.org/articles/isprs-annals-III-3-107-2016.html</self-uri>
<self-uri xlink:href="https://isprs-annals.copernicus.org/articles/isprs-annals-III-3-107-2016.pdf">The full text article is available as a PDF file from https://isprs-annals.copernicus.org/articles/isprs-annals-III-3-107-2016.pdf</self-uri>
<abstract>
<p>In this paper we propose a novel workflow for the estimation of global image orientations given relative orientations between pairs
of overlapping images. Our approach is convex and independent on initial values. First, global rotations are estimated in a relaxed
semidefinite program (SDP) and refined in an iterative least squares adjustment in the tangent space of SO(3). A critical aspect is the
handling of outliers in the relative orientations. We present a novel heuristic graph based approach for filtering the relative rotations that
outperforms state-of-the-art robust rotation averaging algorithms. In a second part we make use of point-observations, tracked over a
set of overlapping images and formulate a linear homogeneous system of equations to transfer the scale information between triplets of
images, using estimated global rotations and relative translation directions. The final step consists of refining the orientation parameters
in a robust bundle adjustment. The proposed approach handles outliers in the homologous points and relative orientations in every step
of the processing chain. We demonstrate the robustness of the procedure on synthetic data. Moreover, the performance of our approach
is illustrated on real world benchmark data.</p>
</abstract>
<counts><page-count count="8"/></counts>
</article-meta>
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