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Computer Vision, Graphics, and Image Processing
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Computer Vision, Graphics, and Image Processing
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American Mathematical Monthly
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Graphical Models and Image Processing
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Graphical Models and Image Processing
An approach to discretization based on the Hausdorff metric
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
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I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
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Theoretical Computer Science
Theoretical Computer Science
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DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
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Theoretical Computer Science
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IBM Systems Journal
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DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
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DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
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DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
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In this paper we study discretizations of objects in higher dimensions. We introduce a large class of object discretizations, called k- discretizations. This class is natural and quite general, including as special cases some known discretizations, like the standard covers and the naive discretizations. Various results are obtained in the proposed general setting.