{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9846676","patent":{"patent_number":"US-9846676","title":"Method and apparatus for converting spherical harmonics representations of functions into multi-resolution representations","assignee":null,"inventors":[],"filing_date":"2017-06-09T00:00:00.000Z","publication_date":"2017-12-19T00:00:00.000Z","cpc_codes":["G06F","G06T","G06T"],"num_claims":20,"abstract":"An analytical method to efficiently convert a function that is stored in spherical harmonics into a function that is stored in a wavelet or mip map representation enables a variety of computer graphics functions to be efficiently performed. A function may be stored as a spherical harmonic representation and rotated in the spherical harmonic domain; the function can then be converted to a wavelet representation. The conversion method may be used to convert a spherical harmonic function to wavelets, and then an importance sampling technique may be applied to the wavelet representation to generate a set of importance samples for the function. The conversion method may be applied to convert a spherical harmonic representation into the wavelet domain, and an importance sampling technique may then be applied which samples the product of the function and another function in the wavelet domain."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Method and apparatus for converting spherical harmonics representations of functions into multi-resolution representations","description":"An analytical method to efficiently convert a function that is stored in spherical harmonics into a function that is stored in a wavelet or mip map representation enables a variety of computer graphic","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9846676","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-9846676","citation_suggestion":"Patentable. \"Method and apparatus for converting spherical harmonics representations of functions into multi-resolution representations\" (US-9846676). https://patentable.app/patents/US-9846676","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9846676","json":"https://patentable.app/api/llm-context/US-9846676","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T08:20:57.251Z"}