Approximation Theory
A b-spline is a piecewise-defined polynomial function that provides a flexible way to create smooth curves and surfaces in computational graphics and geometric modeling. It is defined by a set of control points, which influence the shape of the curve, and a knot vector that determines where and how the control points affect the curve. This makes b-splines particularly useful in applications like cubic splines and spline interpolation, where smoothness and precision are key.
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