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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 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