MATLAB: Refitting points to nearest polygon

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Hey everyone!

Let's say I have a couple of 2D polygons, and a set of coordinates.

I'm trying to count the number of points that fall in each polygon, and I'm already using inpolygon to do this.

However, I notice there are a few points that are not inside the polygons, but are near it. This is likely due to the inaccuracies that rise with observations.

I need to have these points be counted as part of their nearest polygon, but I don't know how to!

Cheers.

Best Answer

Are you representing your polygons as a polyshape array? polyshape was introduced in release R2017b. If you are, you could try using the buffer-based approach described in Loren's blog combined with the isinterior function.

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Barycentric coordinates.

Barycentric coordinate system is defined in terms of the center of mass, or barycenter, of usually unequal masses placed at its vertices. Coordinates also extend outside the simplex, where one or more coordinates become negative. For this question. it is relevant that the points on the edges would have at least one of the coordinates equal to zero. If the point lies on a vertex, the coordinate associated with that vertex equals to 1 and the others equal to zero.

Best Answer

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