Interpolations Achi Brandt. Two Dimensional Interpolation First direction Second direction Bileanear. Bicubic … Bipolynomial.

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Presentation transcript:

Interpolations Achi Brandt

Two Dimensional Interpolation First direction Second direction Bileanear. Bicubic … Bipolynomial

Linear Interpolation 2h →h  ”second order” interpolation

P-order interpolation Linear interpolation: p = 2 Cubic interpolation: p = 4 u (x j ) u (x) X i+1 X i+2 X i+p X

Fine-to Coarse Transfer (Restriction) Injection Full Weighting

Linear interpolation: Second order transfers. General order, general dimension d:

1-D linear interpolation 2h h Adjoint h 2h transfer (anterpolation) = = = =

Coarse-Grid Aliasing