https://acutebar.in/tags/curvature/Recent content in curvature on Achyut Bharadwaj ∡acutebarHugoenTue, 01 Sep 2026 00:00:00 +0000https://acutebar.in/posts/math/papercorrect/Tue, 01 Sep 2026 00:00:00 +0000https://acutebar.in/posts/math/papercorrect/<h1 id="3d-surface-reconstruction-using-geodesic-energy-minimization"> 3D Surface Reconstruction using Geodesic Energy Minimization <a class="anchor" href="#3d-surface-reconstruction-using-geodesic-energy-minimization">#</a> </h1> <p><a href="https://github.com/acutebar/PaperCorrect/blob/main/../../releases/latest/download/report.pdf"><strong>Read the full writeup (PDF) here.</strong></a></p> <h2 id="some-results"> Some Results <a class="anchor" href="#some-results">#</a> </h2> <table> <thead> <tr> <th><img src="https://raw.githubusercontent.com/acutebar/PaperCorrect/main/assets/updemo.gif" alt="" /></th> <th><img src="https://raw.githubusercontent.com/acutebar/PaperCorrect/main/assets/downdemo.gif" alt="" /></th> </tr> </thead> <tbody> </tbody> </table> <h2 id="the-core-algorithm"> The Core Algorithm <a class="anchor" href="#the-core-algorithm">#</a> </h2> <p>This projects uses a single photograph to reconstruct the 3D embedding of a surface with known geodesics (e.g., a ruled piece of paper which is deformed). The algorithm follows an energy minimization process on the net <em>geodesic energy</em>.</p> <p>On the highest level, the algorithm begins by <em>guessing</em> that the original surface is simply flat. If the guess turns out inaccurate, the guess is deformed in certain ways to attempt to match the true surface.</p>