--- title: Introduction to Spherical Harmonics for Graphics Programmers description: A thorough introduction to spherical harmonic (SH) functions aimed at graphics programmers. Covers the mathematical foundations including function spaces,... canonical: https://daily.dev/posts/introduction-to-spherical-harmonics-for-graphics-programmers-yrg4hqncf twitter:card: summary_large_image twitter:site: @dailydotdev og:type: website og:site_name: daily.dev og:title: Introduction to Spherical Harmonics for Graphics Programmers | daily.dev og:description: A thorough introduction to spherical harmonic (SH) functions aimed at graphics programmers. Covers the mathematical foundations including function spaces,... og:url: https://daily.dev/posts/introduction-to-spherical-harmonics-for-graphics-programmers-yrg4hqncf og:image: https://api.daily.dev/og/posts/yRg4HqnCf.png og:image:alt: Introduction to Spherical Harmonics for Graphics Programmers og:image:width: 1200 og:image:height: 630 og:locale: en --- > ## Documentation Index > Fetch the complete documentation index at: https://daily.dev/llms.txt > Use this file to discover all available pages before exploring further. # Introduction to Spherical Harmonics for Graphics Programmers **[Hacker News](https://daily.dev/sources/hn)** · 38 min read · 0 upvotes · 0 comments ## Summary A thorough introduction to spherical harmonic (SH) functions aimed at graphics programmers. Covers the mathematical foundations including function spaces, orthonormal bases, associated Legendre polynomials, and the real-valued SH definition used in computer graphics. Includes JavaScript code for evaluating SH basis functions, projecting cubemaps to SH coefficients via Riemann sums with correct solid-angle weighting, and handling ringing/Gibbs artifacts through windowing. Also walks through a practical case study of projecting irradiance to SH for lightmaps, explaining the convolution property of SH and how Frostbite uses L1 SH to support normal-mapped baked lighting. ## Full article daily.dev links to this article rather than hosting it. Read it at the original source: ## Similar posts on daily.dev - [Graphics Programming weekly - Issue 436 - April 12th, 2026](https://daily.dev/posts/graphics-programming-weekly---issue-436---april-12th-2026-8ri5aijvc) · Jendrik Illner · 0 upvotes · 0 comments --- Tags: [#javascript](https://daily.dev/tags/javascript), [#graphics-programming](https://daily.dev/tags/graphics-programming) [View this post on daily.dev](https://daily.dev/posts/introduction-to-spherical-harmonics-for-graphics-programmers-yrg4hqncf) ```json {"@context":"https://schema.org","@graph":[{"@type":"Organization","@id":"https://daily.dev/#organization","name":"daily.dev","url":"https://daily.dev","logo":{"@type":"ImageObject","url":"https://daily.dev/apple-touch-icon.png","width":180,"height":180},"sameAs":["https://twitter.com/dailydotdev","https://github.com/dailydotdev","https://www.linkedin.com/company/daily-dev-ltd"]},{"@type":"WebSite","@id":"https://daily.dev/#website","url":"https://daily.dev","name":"daily.dev","publisher":{"@id":"https://daily.dev/#organization"},"potentialAction":{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https://daily.dev/search?q={search_term_string}"},"query-input":"required name=search_term_string"}}]} {"@context":"https://schema.org","@type":"TechArticle","headline":"Introduction to Spherical Harmonics for Graphics Programmers","url":"https://daily.dev/posts/introduction-to-spherical-harmonics-for-graphics-programmers-yrg4hqncf","mainEntityOfPage":{"@type":"WebPage","@id":"https://daily.dev/posts/introduction-to-spherical-harmonics-for-graphics-programmers-yrg4hqncf"},"datePublished":"2026-04-16T07:39:34.455Z","dateModified":"2026-04-16T07:40:02.067Z","description":"A thorough introduction to spherical harmonic (SH) functions aimed at graphics programmers. 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