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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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.
| next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |
© Robert FERRÉOL 2017