{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9639981","patent":{"patent_number":"US-9639981","title":"Tetrahedral Shell Generation","assignee":null,"inventors":[],"filing_date":"2012-06-26T00:00:00.000Z","publication_date":"2017-05-02T00:00:00.000Z","cpc_codes":["G06T","G06F","G06T"],"num_claims":21,"abstract":"Tetrahedra can be used as primitives to represent volumetric shells because of their ease of performing geometric tests such as intersection with other geometric primitives. Each triangular face of a triangulated surface mesh can be extruded or otherwise formed into a prism, and that prism can be filled with tets (tetrahedra). An edge of a tet can be deemed to be rising if, going counterlockwise around the face, the corresponding tet-edge that splits the extruded face proceeds from the inset surface to the offset surface. To determine a valid tet orientation, each directed edge of the surface mesh is labeled as Rising or Falling (R, F). In various embodiments, one or more simple rules are used for determining whether an edge is rising or falling. In one aspect, a partial ordering of the connectivity of a surface is used in the tet generation process."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Tetrahedral Shell Generation","description":"Tetrahedra can be used as primitives to represent volumetric shells because of their ease of performing geometric tests such as intersection with other geometric primitives. Each triangular face of a ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9639981","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9639981","citation_suggestion":"Patentable. \"Tetrahedral Shell Generation\" (US-9639981). https://patentable.app/patents/US-9639981","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9639981","json":"https://patentable.app/api/llm-context/US-9639981","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T15:38:57.969Z"}