bernsteinMatrix

Bernstein matrix

Syntax

• B = bernsteinMatrix(n, t)

Input argument

• n - nonnegative integer: Approximation order.
• t - number or vector: Evaluation point.

Output argument

• B - Bernstein Matrix: length(t) - by - n+1 matrix.

Description

B = bernsteinMatrix(n, t) constructs a Bernstein matrix B with dimensions length(t) - by - (n+1), where t is a vector.

The Bernstein matrix is also referred to as the Bezier matrix.

This function can be utilized to calculate the points of a Bezier curve.

Example

t = 0:1/100:1;
B = bernsteinMatrix(3, t);
P = [0 0 0; 1 2 1; 1 -2 3; 5 2 4];
bezierCurve = B * P;
plot3(bezierCurve(:,1), bezierCurve(:,2), bezierCurve(:,3))

History

Author

Allan CORNET