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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 the 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-XI-2-2026-367-2026</article-id>
<title-group>
<article-title>SatGeo-NeRF: Geometrically Regularized NeRF for Satellite Imagery</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wagner</surname>
<given-names>Valentin</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>Bullinger</surname>
<given-names>Sebastian</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>Arens</surname>
<given-names>Michael</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>Stiefelhagen</surname>
<given-names>Rainer</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Object Recognition, Fraunhofer Institute of Optronics, System Technologies and Image Exploitation IOSB , Ettlingen, Germany</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Computer Vision for Human-Computer Interaction Lab, Karlsruhe Institute of Technology, Karlsruhe, Germany</addr-line>
</aff>
<pub-date pub-type="epub">
<day>03</day>
<month>07</month>
<year>2026</year>
</pub-date>
<volume>XI-2-2026</volume>
<fpage>367</fpage>
<lpage>374</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2026 Valentin Wagner et al.</copyright-statement>
<copyright-year>2026</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
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<self-uri xlink:href="https://isprs-annals.copernicus.org/articles/XI-2-2026/367/2026/isprs-annals-XI-2-2026-367-2026.pdf">The full text article is available as a PDF file from https://isprs-annals.copernicus.org/articles/XI-2-2026/367/2026/isprs-annals-XI-2-2026-367-2026.pdf</self-uri>
<abstract>
<p>We present &lt;em&gt;SatGeo-NeRF&lt;/em&gt;, a geometrically regularized &lt;em&gt;NeRF&lt;/em&gt; for satellite imagery that mitigates overfitting-induced geometric artifacts observed in current state-of-the-art models using three model-agnostic regularizers. &lt;em&gt;Gravity-Aligned Planarity Regularization&lt;/em&gt; aligns depth-inferred, approximated surface normals with the gravity axis to promote local planarity, coupling adjacent rays via a corresponding surface approximation to facilitate cross-ray gradient flow. &lt;em&gt;Granularity Regularization&lt;/em&gt; enforces a progressive coarse-to-fine geometry-learning scheme, and &lt;em&gt;Depth-Supervised Regularization&lt;/em&gt; stabilizes early training using sparse depth cues for improved geometric accuracy. On the DFC2019 satellite reconstruction benchmark, &lt;em&gt;SatGeo-NeRF&lt;/em&gt; improves the Mean Altitude Error by 14.0% and 11.4% relative to state-of-the-art baselines such as &lt;em&gt;EO-NeRF&lt;/em&gt; and &lt;em&gt;EO-GS&lt;/em&gt;.</p>
</abstract>
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