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Published in:
2011 | OriginalPaper | Chapter
Computing the Fréchet Distance between Folded Polygons
Authors : Atlas F. Cook IV, Anne Driemel, Sariel Har-Peled, Jessica Sherette, Carola Wenk
Published in: Algorithms and Data Structures
Publisher: Springer Berlin Heidelberg
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Computing the Fréchet distance for surfaces is a surprisingly hard problem and the only known algorithm is limited to computing it between flat surfaces. We adapt this algorithm to create one for computing the Fréchet distance for a class of non-flat surfaces which we call folded polygons. Unfortunately, the original algorithm cannot be extended directly. We present three different methods to adapt it. The first of which is a fixed-parameter tractable algorithm. The second is a polynomial-time approximation algorithm. Finally, we present a restricted class of folded polygons for which we can compute the Fréchet distance in polynomial time.