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My main goal is to simplify multiple polygons, avoiding overlaps and gaps between them.

My initial approach was:

  1. Find intersections for each polygon so that I end up with an array of polygons, each having a number of intersections.

Example: [ {polygon:{feature}, intersections:[linestring,linestring]}, {polygon:{feature}, intersections:[linestring,linestring, linestring]}, {polygon:{feature}, intersections:[linestring]} ]

  1. Assuming a polygon can be represented by its intersections and external lines (e.g. lines no intersecting with any other polygon).

    • Slice a polygon into multiple linestrings.

    • Simplify each individual linestring

    • Concatenate the linestring to form a polygon

Example:

  • Polygon A = simplify(A1) + simplify(A2) + simplify(Polygon A - (A1 + A2))

  • Polygon B = simplify(B1) + simplify(Polygon B - B1)

  • Polygon C = simplify(C1) + simplify(Polygon C - C1)

where A1 = B1 and A2 = C1

My question is, is this a good way to simplify multiple neighbouring polygons, or could you recommend a library or and algorithm for this task?

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