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Planar projections of spatial Pythagorean-hodograph curvesFarouki, Rida A. M. T., 1957- ...Čeprav v splošnem ortogonalna projekcija prostorske krivulje s pitagorejskim hodografom (PH krivulja) na ravnino ni ravninska PH krivulja, je mogoče konstruirati prostorske PH krivulje, katerih ... ortogonalne projekcije na določene ravnine porodijo ravninske PH krivulje. Konstrukcija zahteva analizo strukture ničel komponent quaternionskih polinomov, ki generirajo prostorsko PH krivuljo. Osnova so ortogonalne projekcije na koordinatne ravnine, ki jih posplošimo na projekcije na poljubne ravnine. Slednje temeljijo na prostorskih rotacijah opisanih z enotskimi kvaternioni.Source: Computer Aided Geometric Design. - ISSN 0167-8396 (Vol. 91, Nov. 2021, art. 102049 (15 str.))Type of material - article, component part ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 85583107
Author
Farouki, Rida A. M. T., 1957- |
Knez, Marjetka, 1978- |
Vitrih, Vito, 1981- |
Žagar, Emil, 1969-
Topics
pitagorejski hodograf |
helika |
ravninske ortogonalne projekcije |
polinomska faktorizacija |
kvaternioni |
prostorske rotacije |
Pythagorean-hodograph curves |
helical curves |
planar orthogonal projections |
polynomial factorizations |
quaternions |
spatial rotations
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Database name | Field | Year |
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Farouki, Rida A. M. T., 1957- | ![]() |
Knez, Marjetka, 1978- | 23467 |
Vitrih, Vito, 1981- | 27559 |
Žagar, Emil, 1969- | 19886 |
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