B-Spline
A generalization of the Bézier Curve. Let a vector known as the Knot Vector bedefined
 | (1) |
is a nondecreasing Sequence with 
, and define control points 
, ...,
. Define the degree as | (2) |
, ..., 
are called Internal Knots.Define the basis functions as
 |  |  | (3) |
 | |  | |
| (4) |
Then the curve defined by
 | (5) |
knots equal 0 and last equal to 1) anduniform B-spline (Internal Knots are equally spaced). A B-Spline with no InternalKnots is a Bézier Curve.The degree of a B-spline is independent of the number of control points, so a low order can always be maintained forpurposes of numerical stability. Also, a curve is 
times differentiable at a point where 
duplicate knotvalues occur. The knot values determine the extent of the control of the control points.
- Fractional Part
- Fractran
- Framework
- Franklin Magic Square
- Fransén-Robinson Constant
- F-Ratio
- F-Ratio Distribution
- Fredholm Integral Equation of the First Kind
- Fredholm Integral Equation of the Second Kind
- Free
- Free Group
- Freemish Crate
- Free Semigroup
- Freeth's Nephroid
- Free Variable
- Freiman's Constant
- French Curve
- Frenet Formulas
- Frequency Curve
- Fresnel Integrals
- Fresnel's Elasticity Surface
- Fresnel's Wave Surface
- Frey Curve
- Frey Elliptic Curve
- Friday the Thirteenth