Fast Bezier Curves

Evaluates a Bezier curve given its control points and knot vector or resolution.

% Generate control points
x = rand(5, 2);

% Evaluate Bezier uniformly
[y, b] = bez(x, 100);           % Export binomial coefficients

% Evaluate Bezier at knots
z = bez(x, rand(5, 1), b);      % Recycle binomial calculation

% Plot results
figure
hold on
plot(y(:, 1), y(:, 2), 'LineWidth', 1.5)
plot(z(:, 1), z(:, 2), 'o', 'LineWidth', 1.2, 'MarkerFaceColor', 'w')
plot(x(:, 1), x(:, 2), '.-', 'LineWidth', 1, 'MarkerSize', 12)
fprintf('Binomial coefficient: [%d %d %d %d %d]\n', b.')