{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11989823","patent":{"patent_number":"US-11989823","title":"Method for rendering on basis of hemispherical orthogonal function","assignee":null,"inventors":[],"filing_date":"2020-09-14T00:00:00.000Z","publication_date":"2024-05-21T00:00:00.000Z","cpc_codes":["G06T","G06T","G06T"],"num_claims":2,"abstract":"The invention discloses a method for rendering on the basis of hemispherical orthogonal function, the method comprising the following steps: selecting rendering fragments and establishing a local coordinate system; acquiring a bidirectional reflectance distribution function of a material; if global illumination is an orthogonal function, determining a rotation matrix of an orthogonal function coefficient according to the rotation angles of the global coordinate system and the local coordinate system, and calculating a local orthogonal function illumination coefficient; converting the local orthogonal function illumination coefficient into a hemispherical orthogonal function illumination coefficient; sampling to obtain the spatial distribution of a bidirectional reflection distribution function of a rendered material; obtaining a hemispherical orthogonal function of the bidirectional reflection distribution function of the rendered material; and using the dot product of a hemispherical orthogonal function coefficient of illumination and a hemispherical orthogonal function coefficient of the bidirectional reflection distribution function of the rendered material and accumulating to obtain the light intensity in the reflection direction. A hemispherical harmonic function(HSH) is used to fit measurement data or theoretically derived data of a BRDF, which may avoid the difficulty of fitting that accurs for a hemispherical harmonics function due to data being missing in the lower hemisphere."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Method for rendering on basis of hemispherical orthogonal function","description":"The invention discloses a method for rendering on the basis of hemispherical orthogonal function, the method comprising the following steps: selecting rendering fragments and establishing a local coor","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11989823","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-11989823","citation_suggestion":"Patentable. \"Method for rendering on basis of hemispherical orthogonal function\" (US-11989823). https://patentable.app/patents/US-11989823","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11989823","json":"https://patentable.app/api/llm-context/US-11989823","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T15:09:38.831Z"}