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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.

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 Ak 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