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The mathematical beauty of hyperbezier curves

Raph Levien proposes hyperbezier curves as a potential replacement for cubic Béziers in 2D vector graphic design, defined by a novel Cesàro equation that balances smooth curvature variation with high-tension regions. The curve closely approximates cubic Béziers at low deflection angles while offering more monotonic curvature behavior overall.

Background

Cubic Béziers have been the standard curve primitive in 2D vector graphics for decades, used in formats like SVG and PostScript. This proposal comes from Raph Levien, a well-known figure in the vector graphics community and developer of tools like Inkscape and the Linebender project.

Source
Lobsters
Published
Aug 11, 2026 at 02:31 AM
Score
6.0 / 10