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Numerična in računalniška matematika. Del 4, B-zlepki v dveh dimenzijahKozak, Jernej ; Lokar, MatijaObravnavane so osnovne lastnosti večdimenzionalnih B-zlepkov, kot so njihova definicija, rekurzivne relacije za izračun vrednosti B-zlepka, odvoda B-zlepka in skalarnega produkta B-zlepka. Opisan je ... tudi postopek konstrukcije baze B-zlepkov. Podrobneje je obravnavan tudi problem računanja vrednosti B-zlepka tako v dveh, kot tudi več dimenzijah. Izpeljan je potrebni in zadostni pogoj za konveksnost k Bezierovi ploskvi nad trikotnikom pridruženih krp. Študirana je občutljivost Bernsteinovih polinomov nad trikotnikom.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1988Language - slovenian, englishCOBISS.SI-ID - 7656281
Author
Kozak, Jernej |
Lokar, Matija
Topics
matematika |
numerična analiza |
aproksimacije |
B-zlepki |
izračun vrednosti zlepka |
simpleksni zlepek |
paralelipipedski zlepek |
posplošene odrezane potence |
distribucija |
Bezierova trikotna krpa |
pridružena krpa |
konveksnost |
občutljivost Bernsteinovih polinomov |
mathematics |
numerical analysis |
approximation |
B-splines |
evaluation of a spline |
simplex spline |
box spline |
generalized truncated powers |
distribution |
Bezier triangular patch |
adjoint patch |
convexity |
condition number of Bernstein polinomials
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Database name | Field | Year |
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Kozak, Jernej | 03425 |
Lokar, Matija | 05952 |
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