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Fast calculation of the distance to cubic Bezier curves on the GPU

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Fast calculation of the distance to cubic Bezier curves on the GPU is an October 2025 technical article by ubitux on blog.pkh.me about cubic Bezier distances inside GLSL fragment shaders for text and 2D shapes.

It writes a cubic as a polynomial, minimizes distance squared via a degree-5 derivative, covers quadratic and higher root finders, and compares derivative-driven bisection and ITP-style methods with Cem Yuksel style approaches. WebGL demos show control points and distance fields, and GLSL templates for bezier_distance appear in the post. A closing section looks ahead to chaining curves into glyph SDFs.

It is for advanced graphics programmers comfortable with polynomials and shader numerics. Quadratic Bezier or SDF experience helps.

The piece is a free HTML article with interactive demos and copyable GLSL.

It is useful when you need a practical GPU recipe for cubic Bezier distance fields beyond quadratic curves.