{"paper":{"title":"ITS: Implicit Thin Shell for Polygonal Meshes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GR","authors_text":"Changhe Tu, Chongyang Deng, Huibiao Wen, Lei Wang, Shiqing Xin, Shuangmin Chen, Wenping Wang, Ying He, Yunxiao Zhang","submitted_at":"2024-11-03T09:11:55Z","abstract_excerpt":"In computer graphics, simplifying a polygonal mesh surface~$\\mathcal{M}$ into a geometric proxy that maintains close conformity to~$\\mathcal{M}$ is crucial, as it can significantly reduce computational demands in various applications. In this paper, we introduce the Implicit Thin Shell~(ITS), a concept designed to implicitly represent the sandwich-walled space surrounding~$\\mathcal{M}$, defined as~$\\{\\textbf{x}\\in\\mathbb{R}^3|\\epsilon_1\\leq f(\\textbf{x}) \\leq \\epsilon_2, \\epsilon_1< 0, \\epsilon_2>0\\}$. Here, $f$ is an approximation of the signed distance function~(SDF) of~$\\mathcal{M}$, and we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.01488","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.01488/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}