Splines

Like B-splines, they are defined by their order, and a knot vector, and a set of control points, but unlike simple B-splines, the control points each have a weight.

A fundamental theorem states that every spline function of a given degree, smoothness, and domain partition, can be uniquely represented as a linear combination of B-splines of that same degree and smoothness, and over that same partition.

As a way of avoiding thermal stress, cracking and warping, the disc is sometimes mounted in a half loose way to the hub with coarse splines.

B-splines can be used for curve-fitting and numerical differentiation of experimental data.

Cardinal B-splines have knots that are equidistant from each other.

Curves in Metafont are defined as cubic splines rather than quadratic, for greater versatility at the cost of more complex arithmetic. citation Metafont can render any kind of graphical output, not just glyphs.

Flexible smoothing with B-splines and penalties (with comments and rejoinder).

For instance, the use of B-splines for fitting single Lorentzian and Gaussian curves has been investigated.

Like B-splines, NURBS control points determine the shape of the curve.

Mechanically, the gears are equivalent to rotating splines with modified profiles.

Strictly speaking B-splines are usually defined as being left-continuous When all internal knots are distinct, its derivatives are also continuous up to the derivative of degree n-1.

The transmission's drive splines and pilot shaft have a complementary shape.

To prevent a recurrence of the problem, the splines can be coated with anti-seize anti-corrosion compound.

When the weight is equal to 1, a NURBS is simply a B-spline and as such NURBS generalizes both B-splines and Bézier curves and surfaces, the primary difference being the weighting of the control points which makes NURBS curves "rational".