A Simpler Formula for Curve Approximation Using Arc Segments

This article introduces a practical error metric for approximating Euler spirals and parallel curves using arc segments. Unlike earlier methods requiring complex continuity constraints or high computational costs, this approach achieves near-optimal accuracy with much simpler formulas and constant subdivision density. By empirically refining curvature-based error estimates, it produces visually smooth, watertight renders with fewer segments—making it ideal for efficient digital stroking and curve rendering applications.