The Shortest Path Finding between two points on a Polyhedral Surface

T. P. Popova; Popov E. V.; Rotkov S. I.

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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.

Language: English

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Keywords: Tensile fabric structures geodesic line cutting pattern shortest paths polyhedral surface

In book

WSCG 2014 Communication Papers Proceedings

Plzen: University of West Bohemia, 2014.

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The Shortest Path Finding between two points on a Polyhedral Surface

Popov E. V., Rotkov S. I., , in: WSCG 2014 Communication Papers Proceedings.: Plzen: University of West Bohemia, 2014. P. 1–11.

Added: July 23, 2014