Create the smallest polygon enclosing set of points

I have a list of x and y points from which Im wanting to create a polygon that encloses. The issue falls in that many of the points will be points lying in the middle of the polygon rather than the edges. And so the following code..

P = [convVertX(:),convVertY(:)];

k = polyshape(P);

plot(k)

gives

Answer 1

[Walter Roberson]

See boundary()

[Daniel Turon]

Thanks!!