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

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