<< base2dec

Elementary functions

bin2dec >>

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bernsteinMatrix

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Bernstein matrix

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Syntax

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B = bernsteinMatrix(n, t)

Input argument

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n

nonnegative integer: Approximation order.

t

number or vector: Evaluation point.

Output argument

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B

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

Description

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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

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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

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Version	Description
1.5.0	initial version

Author

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Allan CORNET