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Add BijectiveRemesh to selected publications.
Include arXiv paper entry with thumbnail and advisor credits. Co-authored-by: Cursor <cursoragent@cursor.com>
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@@ -1198,6 +1198,35 @@ <h1 data-en="Leyi Zhu" data-zh="朱乐宜">Leyi Zhu</h1>
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<h2 class="section-title" data-en="Selected Publications" data-zh="代表性论文">Selected Publications</h2>
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<div class="pub-item">
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<img class="pub-thumb" src="./public_html/respic/bijective-gemini-small.jpg"
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alt="BijectiveRemesh: Maintaining Bijective Mappings for Data Transfer Across Remeshed Manifolds"
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width="160" height="160">
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<div class="pub-details">
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<p class="pub-title">BijectiveRemesh: Maintaining Bijective Mappings for Data Transfer Across Remeshed Manifolds</p>
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<p class="pub-venue">arXiv preprint, 2026</p>
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<p class="pub-meta" data-en="Advisors: Prof. Denis Zorin, Prof. Daniele Panozzo"
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data-zh="导师:Denis Zorin 教授、Daniele Panozzo 教授">Advisors: Prof. Denis Zorin, Prof. Daniele
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Panozzo</p>
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<div class="pub-buttons">
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<a class="pub-btn" href="https://arxiv.org/pdf/2605.30744" target="_blank"
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data-en="Paper" data-zh="论文">Paper</a>
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<button class="pub-btn" onclick="toggleAbstract('abstract0')" data-en="Abstract"
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data-zh="摘要">Abstract</button>
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</div>
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<div id="abstract0" class="abstract">
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<ul>
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<li>We introduce BijectiveRemesh, a robust algorithm for maintaining a continuous, bijective mapping across complex remeshing sequences on both 2D triangle surfaces and 3D tetrahedral meshes.</li>
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<li>Unlike traditional data transfer methods that rely on interpolation or projection, our approach constructs a mathematically rigorous composite map by chaining local bijective atlases defined for each primitive operation.</li>
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<li>For 2D triangle meshes, we introduce a Shared Scaffold structure that enforces global bijectivity through local orientation preservation, extending successive self-parameterization to edge splits, edge swaps, and vertex smoothing.</li>
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<li>For 3D tetrahedral meshes, we generalize the local atlas construction using Steinitz's Theorem and Maxwell-Cremona lifting to ensure valid embeddings.</li>
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<li>This enables exact tracking of geometric entities—points, curves, and surfaces—across remeshing, with applications from texture transfer to volumetric simulations.</li>
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</ul>
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</div>
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</div>
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