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Title

The Application of Winding Numbers to the Interior Problem of Nonconvex Polygons and Polyhedra
Author

S. Welke
Conference

1999 International Mathematica Symposium
Description

The winding number for closed curves and polygons in the Euclidean plane is generalized to polyhedra in three-space. The winding number allows to decide whether a point is in the interior or exterior of a closed polygon/polyhedron. Polygons and polyhedra need not be convex and self-intersections are allowed.
Subjects

*Mathematics > Geometry > Computational Geometry
*Mathematics > Geometry > Solid Geometry
Keywords

winding number, closed curves, polygons, Euclidian plane, non-convex polygons
URL

http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html