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POLYGONALIZATION

Polygonalization

Polygon through a set of points

a polygonalization of a finite set of points in the Euclidean plane is a simple polygon with the given points as its vertices. A polygonalization may

Polygonalization

Simple polygon

Shape bounded by non-intersecting line segments

Schwarz–Christoffel mapping, used to find conformal maps involving simple polygons, polygonalization of point sets, constructive solid geometry formulas for polygons, and

Simple polygon

Simple_polygon

Travelling salesman problem

NP-hard problem in combinatorial optimization

salesman problem forms a simple polygon through all of the points, a polygonalization of the points. Any non-optimal solution with crossings can be made

Travelling salesman problem

Travelling_salesman_problem

Graham scan

Algorithm for computing convex hulls in a set of points

remaining steps of the Graham scan produces a star-shaped polygon, a polygonalization of the input. The stack technique used in Graham's scan is very similar

Graham scan

Graham_scan

Bitonic tour

Computational geometry concept

total length due to the triangle inequality. Therefore, it forms a polygonalization of the input. When compared to other tours that might not be bitonic

Bitonic tour

Bitonic_tour

Euclidean minimum spanning tree

Shortest network connecting points

Euclidean traveling salesman problem, the problem of finding the shortest polygonalization of a point set. Walking around the boundary of the minimum spanning

Euclidean minimum spanning tree