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Define spline curve

Short answer

A spline curve is a smooth piecewise polynomial curve (usually cubic) built by joining sections end-to-end with specified continuity (e.g., C²). It is defined by control points for interpolation or approximation, originating from a flexible drafting strip.

Define spline curve.

A spline curve is a smooth curve made of piecewise polynomial sections (usually cubic) joined end to end, with a specified continuity at each joint (such as C² continuity). The curve is shaped by a set of control points: it either passes through them (interpolation spline) or only follows their general shape (approximation spline). The term comes from the flexible strip used by draftsmen to draw smooth curves.

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