Fill area between x-y data

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Aishwarya Rao
Aishwarya Rao 2023-4-11
回答： Image Analyst 2023-4-11
Hi everyone!
I have a data as shown in the figure. I want to fill/find the polygon area with maximum probability (not necessarily circular, I need to find the shape). Can anyone please help me?
Thank you!
  2 个评论
Matt J
Matt J 2023-4-11
You'll need to define "maximum probability" for us. Are you sure you don't simply want to take the convex hull?
Walter Roberson
Walter Roberson 2023-4-11
Given the coordinates of any particular polygon, how would you calculate the "probability" of it?

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回答（2 个）

Joe Vinciguerra
Joe Vinciguerra 2023-4-11
编辑：Joe Vinciguerra 2023-4-11
Ran in:
xy = randn(100, 2);
shp = alphaShape(xy, inf);
area = shp.area;
facets = shp.boundaryFacets;
plot(shp, "LineStyle","none", "Marker","none")
hold on;
scatter(xy(:,1), xy(:,2))
grid on;
For more information see: Polygons and polyhedra from points in 2-D and 3-D - MATLAB (mathworks.com)
Image Analyst
Image Analyst 2023-4-11
The polygon with the maximum density would be one that starts at one point and then snakes around until it has "grabbed" every point. The width of the snake would be infinitesimally small.

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