--- title: Rendering quadratic Bézier curves with Metal | daily.dev description: A walkthrough of rendering quadratic Bézier curves on the GPU using Apple's Metal framework, based on a partial implementation of the Kokojima et al. 2006... canonical: https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v twitter:card: summary_large_image twitter:site: @dailydotdev og:type: website og:site_name: daily.dev og:title: Rendering quadratic Bézier curves with Metal | daily.dev og:description: A walkthrough of rendering quadratic Bézier curves on the GPU using Apple's Metal framework, based on a partial implementation of the Kokojima et al. 2006... og:url: https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v og:image: https://api.daily.dev/og/posts/0MmNUhK9v.png og:image:alt: Rendering quadratic Bézier curves with Metal 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. # Rendering quadratic Bézier curves with Metal **[Nil Coalescing](https://daily.dev/sources/nilcoalescing)** · 6 min read · 0 upvotes · 0 comments ## Summary A walkthrough of rendering quadratic Bézier curves on the GPU using Apple's Metal framework, based on a partial implementation of the Kokojima et al. 2006 algorithm. The approach avoids complex geometry pre-processing by using a three-step stencil buffer technique: building a triangle fan, applying a fragment shader with UV-based quadratic math to handle convex and concave curve segments, and finally shading the stenciled area. Multi-sampling via Metal's native MSAA is used for smooth edges, with a branchless UV computation trick to minimize GPU shader divergence. ## Full article daily.dev links to this article rather than hosting it. Read it at the original source: ## Similar posts on daily.dev - [GPU view-adaptive crack-free subdivision of Bézier surfaces](https://daily.dev/posts/gpu-view-adaptive-crack-free-subdivision-of-b-zier-surfaces-mexwzl84g) · AMD GPUOpen · 0 upvotes · 0 comments - [Fast calculation of the distance to cubic Bezier curves on the GPU](https://daily.dev/posts/fast-calculation-of-the-distance-to-cubic-bezier-curves-on-the-gpu-h77osvxoc) · Hacker News · 3 upvotes · 0 comments - [Graphics Programming weekly - Issue 449 - August 2nd, 2026](https://daily.dev/posts/graphics-programming-weekly---issue-449---august-2nd-2026-5w0heix75) · Jendrik Illner · 2 upvotes · 0 comments - [Drawing With Light: An Exploration of Lit GPU Tubes with TSL and WebGPU](https://daily.dev/posts/drawing-with-light-an-exploration-of-lit-gpu-tubes-with-tsl-and-webgpu-hcfish0ru) · Codrops · 0 upvotes · 0 comments --- Tags: [#swift](https://daily.dev/tags/swift) [View this post on daily.dev](https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v) ```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":"Rendering quadratic Bézier curves with Metal","url":"https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v","mainEntityOfPage":{"@type":"WebPage","@id":"https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v"},"datePublished":"2026-08-02T07:15:07.786Z","dateModified":"2026-08-02T07:34:33.916Z","description":"A walkthrough of rendering quadratic Bézier curves on the GPU using Apple's Metal framework, based on a partial implementation of the Kokojima et al. 2006...","image":"https://media.daily.dev/image/upload/f_auto,q_auto/v1/posts/015d8f20cc8690dc612e19a53a9f8295?_a=AQAEuop","thumbnailUrl":"https://media.daily.dev/image/upload/f_auto,q_auto/v1/posts/015d8f20cc8690dc612e19a53a9f8295?_a=AQAEuop","isAccessibleForFree":true,"articleSection":"Nil Coalescing","inLanguage":"en","publisher":{"@type":"Organization","name":"daily.dev","url":"https://daily.dev","logo":{"@type":"ImageObject","url":"https://daily.dev/apple-touch-icon.png","width":180,"height":180}},"author":{"@type":"Organization","name":"Nil Coalescing","logo":"https://media.daily.dev/image/upload/s--rcEu6sag--/f_auto,q_auto/v1785654899/logos/nilcoalescing?_a=BAMAMicg0","url":"https://daily.dev/sources/nilcoalescing"},"commentCount":0,"discussionUrl":"https://daily.dev/posts/rendering-quadratic-b-zier-curves-with-metal-0mmnuhk9v","interactionStatistic":[{"@type":"InteractionCounter","interactionType":{"@type":"LikeAction"},"userInteractionCount":0},{"@type":"InteractionCounter","interactionType":{"@type":"CommentAction"},"userInteractionCount":0}],"keywords":"swift","timeRequired":"PT6M"} {"@context":"https://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https://daily.dev"},{"@type":"ListItem","position":2,"name":"Nil Coalescing","item":"https://daily.dev/sources/nilcoalescing"},{"@type":"ListItem","position":3,"name":"Rendering quadratic Bézier curves with Metal"}]} ```