{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8542945","patent":{"patent_number":"US-8542945","title":"Correction of mis-focus in recorded images using centered discrete fractional fourier transformations with high-accuracy orthonormal eigenvectors","assignee":null,"inventors":[],"filing_date":"2010-11-15T00:00:00.000Z","publication_date":"2013-09-24T00:00:00.000Z","cpc_codes":["G06T","G06T","G06T"],"num_claims":20,"abstract":"A method for correcting mis-focus of an image created from coherent imaging using centered fractional Fourier transforms or mathematical equivalents is described. A received image is presented to a numerical processor, and a first numerical value for a variable α is selected and used in an iterative algorithm, numerical procedure, system architecture, etc. A centered discrete fractional Fourier transform of power α and a phase restore operator associated with a centered discrete fractional Fourier transform of power α are applied to the image file to produce a modified image. A change in mis-focused is determined and used in adjusting α for a next iteration. If values for α between 0 and real number β do not result in a desired outcome, α is adjusted as a complex value β+iχ where χ is a real number."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Correction of mis-focus in recorded images using centered discrete fractional fourier transformations with high-accuracy orthonormal eigenvectors","description":"A method for correcting mis-focus of an image created from coherent imaging using centered fractional Fourier transforms or mathematical equivalents is described. A received image is presented to a nu","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8542945","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-8542945","citation_suggestion":"Patentable. \"Correction of mis-focus in recorded images using centered discrete fractional fourier transformations with high-accuracy orthonormal eigenvectors\" (US-8542945). https://patentable.app/patents/US-8542945","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8542945","json":"https://patentable.app/api/llm-context/US-8542945","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T00:15:57.739Z"}