Identifying elements of an array in clockwise order

If I have an array A such that it contains vertex coordinates of polygons where
A=[ 1 1;
2 0;
4 0;
10 1;
0 0;
1 5;
11 2;
0 2;
2 2;
.
.
.
x y ]
and C such that it contains the collection of vertex locations in A of a polygon where C is something like:
C = {[ 2, 5, 8, 9]
.
.
.
[x,y locations in A]}
C{1} contains the coordinates (2,0), (0,0), (0,2), and (2,2) from A. I want to take say, the first elements of C{1}, and sort C such that the remaining element order in C{1} moves clockwise (or counter-clockwise) in terms of element location with respect to polygon generation. So C{1}(1)=2 (2,0), and the remaining elements would follow as such:
C{1}(2)=9 (2,2)
C{1}(3)=8 (0,2)
C{1}(4)=5 (0,0)

6 Comments

Do you have the mapping toolbox?
Is is possible to use the convexHull function with vertices of your choosing?
I was thinking at poly2cw actually. it will order the vertexes in the clock wise order, then you can reorganize it so you have first the vertex of your choice
That is clever, cheers.
For future reference, something like this
v = cell(size(C));
for j=1:length(C)
frodo = C{j};
aragorn_x = new_pts(frodo,1);
aragorn_y = new_pts(frodo,2);
DT = delaunayTriangulation(aragorn_x,aragorn_y);
[K,v{j}] = convexHull(DT);
end
turned out to be valuable (with the help of Jos (10584)).

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Asked:

on 7 Jul 2014

Commented:

on 8 Jul 2014

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