Given a collection of points, return the indices of the rows that contain the two points most distant from one another. The input vector p has two columns corresponding to the x and y coordinates of each point. Return ix, the (sorted) pair of indices pointing to the remotest rows. There will always be one unique such pair of points.
So if
p = [0 0]
[1 0]
[2 2]
[0 1]Then
ix = [1 3]
That is, the two points p(1,:) and p(3,:) are farthest apart.
Solution Stats
Problem Comments
7 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers2949
Suggested Problems
-
2522 Solvers
-
3480 Solvers
-
515 Solvers
-
1210 Solvers
-
10662 Solvers
More from this Author96
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
More easy that it seems.
You need to specify "Euclidean" distance :-)
Good problem, not too hard but required thinking
Please add the next test :
p = [0,0;
2,1;
2,6;
1,6];
ix_correct = [1 3];
assert(isequal(mostDistant(p),ix_correct))
The solutions of the form:
[~,indx]=max(dist(p'));
unique(indx)
will fail, the last line will return an extra index [1,3,4] instead of just [1,3]
refer to
Convex Hull therom and the Graham's Scan method
+1
Nice one!