How to Convert Cubic Bézier Curves into Euler Spirals for GPU Optimization

This article introduces a GPU-friendly method for converting cubic Bézier curves into Euler spirals, enabling more accurate and efficient parallel curve computations. It replaces recursive curve subdivision with an iterative, closed-form error prediction model, ensuring numerical stability while preserving inflection points and minimizing curvature variation. The result: faster, more reliable stroke expansion and cusp handling—ideal for high-performance rendering and geometric design systems.