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▫$C^1$▫ Hermite interpolation with spatial Pythagorean-hodograph cubic biarcsBastl, Bohumír ...V članku je obravnavana ▫$C^1$▫ Hermiteova interpolacija s prostorskimi loki, katerih hodograf je pitagorejski. Opisan je splošen algoritem za njihovo konstrukcijo. Vsak segment loka, ki je ... sestavljen iz dveh delov, interpolira pozicijo in tangento v robni točki. Segmeta sta v sredini spojena ▫$C^1$▫ gladko. Dobljen lok je podan v zaključeni obliki s tremi prostimi parametri. Dva sta izbrana na podlagi asimptotične analize, tretjega pa izberemo tako, da minimiziramo dolžino loka ali elastično napetostno energijo. Končni rezultat je interpolacijski zlepek, ki ga je mogoče konstruirati lokalno in obstaja za poljubno konfiguracijo podatkov Hermiteovega tipa.Source: Journal of computational and applied mathematics. - ISSN 0377-0427 (Vol. 257, 2014, str. 65-78)Type of material - article, component partPublish date - 2014Language - englishCOBISS.SI-ID - 16726361
Author
Bastl, Bohumír |
Bizzarri, Michal |
Knez, Marjetka, 1978- |
Lávička, Miroslav |
Michálkova, Kristýna |
Šír, Zbiněk |
Vitrih, Vito, 1981- |
Žagar, Emil, 1969-
Topics
matematika |
parametrična krivulja |
PH krivulja |
pitagorejski hodograh |
Hermiteova interpolacija |
lok |
kubična prostorska krivulja |
mathematics |
parametric curve |
PH curve |
Pythagorean-hodograph |
Hermite interpolation |
biarc |
cubic curve
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Bastl, Bohumír | ![]() |
Bizzarri, Michal | ![]() |
Knez, Marjetka, 1978- | 23467 |
Lávička, Miroslav | ![]() |
Michálkova, Kristýna | ![]() |
Šír, Zbiněk | ![]() |
Vitrih, Vito, 1981- | 27559 |
Žagar, Emil, 1969- | 19886 |
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