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SPLINE CURVE

The name comes from the splines used in the industry to fit certain shapes.
See this book page 66. Link: www.wam.umd.edu/~petersd/interp.html |

The spline curves are the continuous piecewise polynomial curves generalising the Bézier curves, which are polynomial.

Like the Bézier curves, they are defined by control points *A** _{k }* and a parametrization of the type: .

where the functions that appear are called "B-spline functions" (B for basic) generalising the Bernstein polynomials of the Bézier curves.

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© Robert FERRÉOL 2017