bernsteinMatrix
Bernstein matrix
Syntax
Description
,
where B
= bernsteinMatrix(n
,t
)t
is a vector, returns the
length(t)
-by-(n+1)
Bernstein matrix
B
, such that B(i,k+1)=
nchoosek(n,k)*t(i)^k*(1-t(i))^(n-k)
. Here, the index
i
runs from 1 to length(t)
, and the index
k
runs from 0
to
n
.
The Bernstein matrix is also called the Bezier matrix.
Use Bernstein matrices to construct Bezier curves:
bezierCurve = bernsteinMatrix(n, t)*P
n+1
rows of the matrix P
specify the
control points of the Bezier curve. For example, to construct the second-order 3-D
Bezier curve, specify the control points
as:P = [p0x, p0y, p0z; p1x, p1y, p1z; p2x, p2y, p2z]
Examples
Input Arguments
Output Arguments
Version History
Introduced in R2013b