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Regular version of the site

Book chapter

The Shortest Path Finding between two points on a Polyhedral Surface

P. 1-11.
Popova T. P., Popov E. V., Rotkov S. I.

The paper describes the approximate method of the shortest path finding between two points on a surface. This problem occurs when generating a cutting pattern after the form of the fabric tensile surface is found. The shortest path finding is reduced to the problem of finding the geodesic line on the surface. However, the numerical problem solution of the form finding of fabric tensile structure leads to the fact that the final surface is represented by an arbitrary polyhedron. There is no analytical problem solution of finding shortest paths in this case. The described method allows finding the shortest path on a surface of any regular polyhedron form.

In book

Edited by: S. Vaclav. Plzen: University of West Bohemia, 2014.