Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, April 12, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Maike Buchin (FU Berlin)

Semi-Computability of the Fréchet Distance between Surfaces

The Fréchet distance is a distance measure for parameterized curves and surfaces. For polygonal curves it can be computed in polynomial time, for higher dimensions its computation is known to be NP-hard. We are interested in the Fréchet distance between triangulated surfaces and, using a discrete approximation, we show that it is upper semi-computable, i.e., there is a non-halting Turing machine which produces a monotone decreasing sequence of rationals converging to the result. It follows that the decision problem, whether the Fréchet distance of two given surfaces lies below some specified value, is recursively enumerable.

(Joint work with Helmut Alt)

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