Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in computer graphics and curve and surface modelling. The method generalizes to transfinite interpolation, i.e., to any continuous data on the boundary but a mathematical proof that interpolation always holds has so far been missing. The purpose of this note is to complete this gap in the theory.
Transfinite mean value interpolation over polygons / Floater M.S.; Patrizi F.. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - ELETTRONICO. - 85:(2020), pp. 995-1003. [10.1007/s11075-019-00849-w]
Transfinite mean value interpolation over polygons
Patrizi F.
2020
Abstract
Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in computer graphics and curve and surface modelling. The method generalizes to transfinite interpolation, i.e., to any continuous data on the boundary but a mathematical proof that interpolation always holds has so far been missing. The purpose of this note is to complete this gap in the theory.
| File | Dimensione | Formato | |
|---|---|---|---|
|
article.pdf
Accesso chiuso
Descrizione: Articolo
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Open Access
Dimensione
658.22 kB
Formato
Adobe PDF
|
658.22 kB | Adobe PDF | Richiedi una copia |
|
mv interpolation over polygons.pdf
accesso aperto
Descrizione: Manoscritto
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Open Access
Dimensione
685.3 kB
Formato
Adobe PDF
|
685.3 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
