MATLAB: How to find two points in a defined distance

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Hey Guys, I have another questions?

how can I find two points on a path with a defined distance r to a point x? I need the coordinates of these two points.

Greetings

Best Answer

Try pdist2() with this (untested) code:

% Put x and y column vectors together into a single array.
xy = [x, y];
% Find distance of every point to every other point.
d = pdist2(xy, xy); 
% Find distance closest to "r".
minDistance = min(abs(r - d));
% Find indexes of which pair is the closest.
[rows, columns] = find(d == minDistance);

Related Solutions

MATLAB: Finding Minimum Distance between two points

You don't need pdist2() because you aren't asking for the distance of every point to every other point. You're only asking for the distance from every point to the single point at (0, 0). So you can simply use sqrt()! Try this:

% Create 10 random points.
xy = rand(10, 2);
x = xy(:, 1);
y = xy(:, 2);
plot(x, y, 'bo', 'MarkerSize', 10);
grid on;
% Compute the distance of each of those points from (0, 0)
distances = sqrt(xy(: , 1) .^ 2 + xy(:, 2) .^ 2)
% Find the closest one.
[minDistance, indexOfMin] = min(distances);
closestX = x(indexOfMin);
closestY = y(indexOfMin);
% Mark it with red *
hold on; % Don't blow away existing points.
plot(closestX, closestY, 'r*', 'MarkerSize', 8, 'LineWidth', 2);
% Draw a line from the closest point to (0, 0)
line([0, closestX], [0, closestY], 'LineWidth', 2, 'Color', 'r');

MATLAB: Finding Distance Between Each Point (not the diagonal distance)

x=XY(:,1); y=XY(:,2);
result=abs(x-x.')+abs(y-y.');

Best Answer

Related Solutions

MATLAB: Finding Minimum Distance between two points

MATLAB: Finding Distance Between Each Point (not the diagonal distance)

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