{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8463046","patent":{"patent_number":"US-8463046","title":"Beta-shape: compact structure for topology among spheres defining blending surface of sphere set and method of constructing same","assignee":null,"inventors":[],"filing_date":"2006-06-22T00:00:00.000Z","publication_date":"2013-06-11T00:00:00.000Z","cpc_codes":["G06T"],"num_claims":24,"abstract":"There is provided a beta-shape, which is a compact structure for topology among spheres defining a blending surface of a sphere set. There is also provided a method of constructing the beta-shape, comprising: acquiring a Voronoi diagram of spheres; searching for partially accessible Voronoi edges; and obtaining faces of the beta-shape from the partially accessible Voronoi edges. Further, there is provided a method of utilizing the beta-shape to recognize pockets, which comprises the steps of acquiring the beta-shapes, and recognizing the pockets from the beta-shapes."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Beta-shape: compact structure for topology among spheres defining blending surface of sphere set and method of constructing same","description":"There is provided a beta-shape, which is a compact structure for topology among spheres defining a blending surface of a sphere set. There is also provided a method of constructing the beta-shape, com","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8463046","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-8463046","citation_suggestion":"Patentable. \"Beta-shape: compact structure for topology among spheres defining blending surface of sphere set and method of constructing same\" (US-8463046). https://patentable.app/patents/US-8463046","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8463046","json":"https://patentable.app/api/llm-context/US-8463046","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T11:56:02.300Z"}