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.
- Bisected Perimeter Point
- Bisection Procedure
- Bisector
- Bishop's Inequality
- Bishops Problem
- Bislit Cube
- Bispherical Coordinates
- Bitangent
- Bit Complexity
- Bivariate Distribution
- Bivector
- Biweight
- Blackman Function
- Black-Scholes Theory
- Black Spleenwort Fern
- Blancmange Function
- Blaschke Conjecture
- Blaschke's Theorem
- Blecksmith-Brillhart-Gerst Theorem
- Blichfeldt's Lemma
- Blichfeldt's Theorem
- BLM/Ho Polynomial
- Bloch Constant
- Bloch-Landau Constant
- Block