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Bézier curves, designed in the 1960s, remain the standard tool in computer graphics and design software despite their limitations, because they are simple and well-established. A software engineer proposes that bézier curves can be improved through mathematical refinement without breaking existing technology built on them. The article explains how bézier curves work through linear interpolation of control points and discusses how cubic bézier splines are constructed by joining multiple segments with aligned tangents.
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