Theory of Continuous Optimal Set Partitioning Problems as a Universal Mathematical Formalism for Constructing Voronoi Diagrams and Their Generalizations. I. Theoretical Foundations
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9725-x |2 doi |
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| 245 | 0 | 0 | |a Theory of Continuous Optimal Set Partitioning Problems as a Universal Mathematical Formalism for Constructing Voronoi Diagrams and Their Generalizations. I. Theoretical Foundations |h [Elektronische Daten] |c [E. Kiseleva, L. Koriashkina] |
| 520 | 3 | |a This article considers a method for constructing Voronoi diagrams and their generalizations on the basis of the unified approach that consists of formulating a continuous optimal set partitioning problem with a partition quality criterion that provides appropriate types of Voronoi diagrams and applying the mathematical and algorithmic apparatus to solve such problems. This approach provides the ability not only to construct well-known Voronoi diagrams but also to design new ones. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Voronoi diagram |2 nationallicence | |
| 690 | 7 | |a continuous problem of optimal partitioning of sets from E n |2 nationallicence | |
| 690 | 7 | |a Shor's r-algorithm |2 nationallicence | |
| 700 | 1 | |a Kiseleva |D E. |u Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk, Ukraine |4 aut | |
| 700 | 1 | |a Koriashkina |D L. |u Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/3(2015-05-01), 325-335 |x 1060-0396 |q 51:3<325 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9725-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9725-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kiseleva |D E. |u Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Koriashkina |D L. |u Oles Honchar Dnipropetrovsk National University, Dnipropetrovsk, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/3(2015-05-01), 325-335 |x 1060-0396 |q 51:3<325 |1 2015 |2 51 |o 10559 | ||
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