Mathematical Analysis of Hyperbezier Curves for 2D Vector Graphics

The article introduces hyperbezier curves, a mathematical curve family defined by a Cesàro equation for curvature as a function of arc length, offering smoother curvature variation and improved approximation of complex shapes compared to traditional cubic Béziers. It highlights applications in 2D vector graphics, including exact representations of Euler spirals, hyperbolas, and elastica, with potential for interactive design workflows.

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