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The problem of mesh matching is addressed in this work. For a given n-sidedplanar region bounded by one loop of n polylines we are selecting optimalquadrilateral mesh from existing catalogue of meshes. The formulation ofmatching between planar shape and quadrilateral mesh from the catalogue isbased on the problem of finding longest common subsequence (LCS). Theoreticalfoundation of mesh matching method is provided. Suggested method represents aviable technique for selecting best mesh for planar region and stepping stonefor further parametrization of the region.

Selecting the Best Quadrilateral Mesh for Given Planar Shape