linear segment with parabolic blends in matlab

To create a linear segment with parabolic blends in MATLAB, you can use the following approach:

  1. Define the start and end points of the linear segment.
  2. Define the length of the parabolic blend (the distance over which the segment transitions from linear to parabolic).
  3. Generate the parabolic blend curve connecting the linear segment and the blend segment.

Here is an example MATLAB code snippet that demonstrates how to achieve this:

main.m
% Define the start and end points of the linear segment
start_point = [0, 0];
end_point = [5, 4];

% Define the length of the parabolic blend
blend_length = 1;

% Generate the parabolic blend curve
t = linspace(0, 1, blend_length);
x_blend = (1 - t).^2 * start_point(1) + 2 * (1 - t) * t * (start_point(1) + end_point(1)) + t.^2 * end_point(1);
y_blend = (1 - t).^2 * start_point(2) + 2 * (1 - t) * t * (start_point(2) + end_point(2)) + t.^2 * end_point(2);

% Plot the linear segment with parabolic blend
plot([start_point(1), x_blend, end_point(1)], [start_point(2), y_blend, end_point(2)], '-o');
axis equal;
grid on;
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In this code snippet, we first define the start and end points of the linear segment, the length of the parabolic blend, and then generate the parabolic blend curve. Finally, we plot the linear segment along with the parabolic blend.

You can adjust the start_point, end_point, and blend_length values to create different linear segments with parabolic blends.

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