spline for corner object

I have a contour that I have extracted important points of it based on detectHarrisFeatures. Now I need to connect these points with spline using cscvn function to get the primary contour. But, points fed into cscvn function need to be in a order but the the output points of detectHarrisFeatures are not in order. sort function does not work as its the closed contour and the numbers are not in ascending/descending order. I've attached main image that I've extracted the contour and corner points.

Answer 1

[Jeffrey Clark]

@Mehri Mehrnia, use Transform Cartesian coordinates to polar or cylindrical - MATLAB cart2pol (mathworks.com) and sort by theta to get the sort index return [~,I] = sort(theta), then use I to index your cartesian data in a proper order.

[Jeffrey Clark]

@Mehri Mehrnia, thanks for accepting. @David Goodmanson's answer shows that an appropriate selection for the cartesian central point is needed for either of these to work; for your case probably just the mean x and y. But depending on the image irregularities, outline points selection, fidelity etc it may be difficult to find one central point where its rays don't intesect a concave extent (from the chosen point's perspective).

Answer 2

[David Goodmanson]

HI Mehri,

try sorting by angle around a point in the center:

x0 = 350;
y0 = 325;
theta = atan2(y-y0,x-x0);
[~,ind] = sort(theta);
xnew = x(ind);
ynew = y(ind);