Multigrid Convergence of Calculated Features in Image Analysis |
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| Authors: | Reinhard Klette Jovi?a ?uni? |
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| Affiliation: | (1) CITR, University of Auckland, Tamaki Campus, Building 731, Auckland, New Zealand;(2) Faculty of Engineering, University of Novi Sad, Trg D. Obradovi a 6, 21000 Novi Sad, Yugoslavia |
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| Abstract: | This paper informs about number-theoretical and geometrical estimates of worst-case bounds for quantization errors in calculating features such as moments, moment based features, or perimeters in image analysis, and about probability-theoretical estimates of error bounds (e.g. standard deviations) for such digital approximations. New estimates (with proofs) and a review of previously known results are provided. |
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| Keywords: | digital geometry moments length of a curve multigrid convergence |
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