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Problem 44059. Convex Hull Capture

Created by Ned Gulley in Community

Imagine four points in uv that form a square.

 uv = [ ...
    0,0;
    0,2;
    2,2;
    2,0];

Now we have two more points in xy: one at [1,1] and the other at [1,3]. The first one is in the square, and the second is outside it.

 xy = [ ...
    1,1;
    3,1];

Here is the challenge. Consider the convex hull formed by the points in uv. Which points in xy lie inside this hull?

In this case, the answer would be the logical vector [1,0], since the first row of xy is in the box defined by uv, whereas the second row is not.

Example

 uv = [13,12;10,18;8,4;12,10;16,4;13,2;];
 xy = [12,15;9,7;9,13;13,8;];
 in_correct = [0;1;0;1;];

Solution Stats

51.43% Correct | 48.57% Incorrect
Last solution submitted on Apr 21, 2019

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