Combinatorial curve reconstruction in Hilbert spaces: A new sampling theory and an old result revisited (Q1862125)
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scientific article; zbMATH DE number 1879158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Combinatorial curve reconstruction in Hilbert spaces: A new sampling theory and an old result revisited |
scientific article; zbMATH DE number 1879158 |
Statements
Combinatorial curve reconstruction in Hilbert spaces: A new sampling theory and an old result revisited (English)
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10 March 2003
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A sampling theory for curves, based on a local feature size, is presented. The properties of the proposed feature size are analyzed and compared with the standard definitions. Moreover, an algorithm for combinatorial curve reconstruction, the nearest neighborhood crust, is revised. It is proved that the new algorithm is valid under the new sampling conditions. Aspects of complexity are also discussed.
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combinatorial curve reconstruction
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local feature size
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sampling theory
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algorithm
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complexity
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