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- W1502015870 abstract "We present a fast algorithm to identify the topological shape (homotopy type) of a noisy dotted image in the plane. The algorithm has $O(nlog n)$ time and $O(n)$ space in the number $n$ of points in a given image. The only input is a point cloud. The output is the number of all non-trivial loops that persist (have a long life span) when the image is analyzed at all possible scales. We give theoretical guarantees when the algorithm correctly identifies the homotopy type by using only a noisy sample of a triangulable set." @default.
- W1502015870 created "2016-06-24" @default.
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- W1502015870 date "2013-12-05" @default.
- W1502015870 modified "2023-09-27" @default.
- W1502015870 title "Persistent homotopy types of noisy images." @default.
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