Interpolation

Interpolation von Raster- und gestreuten Daten, Datenrasterung, stückweise Polynome

Durch Interpolation lassen sich Datenpunkte innerhalb einer Reihe bekannter Datenpunkte hinzufügen. Fehlende Daten können ergänzt, vorhandene Daten geglättet, Prognosen erstellt werden und vieles mehr. Die Interpolation in MATLAB^® ist in Techniken für Rasterdaten und gestreute Datenpunkte unterteilt.

Several example plots of 1-D and 2-D interpolation

Funktionen

alle erweitern

1D- und Rasterinterpolation

`interp1`	1-D data interpolation (table lookup)
`interp2`	Interpolation for 2-D gridded data in meshgrid format
`interp3`	Interpolation for 3-D gridded data in meshgrid format
`interpn`	Interpolation for 1-D, 2-D, 3-D, and N-D gridded data in ndgrid format
`griddedInterpolant`	Gridded data interpolation
`pchip`	Piecewise Cubic Hermite Interpolating Polynomial (PCHIP)
`makima`	Modified Akima piecewise cubic Hermite interpolation
`spline`	Cubic spline data interpolation
`ppval`	Evaluate piecewise polynomial
`mkpp`	Make piecewise polynomial
`unmkpp`	Extract piecewise polynomial details
`padecoef`	Padé approximation of time delays
`interpft`	1-D interpolation (FFT method)

Rastererstellung

`ndgrid`	Rectangular grid in N-D space
`meshgrid`	Zwei- und dreidimensionale Raster

Interpolation gestreuter Punkte

`griddata`	Interpolate 2-D or 3-D scattered data
`griddatan`	Interpolate N-D scattered data
`scatteredInterpolant`	Interpolate 2-D or 3-D scattered data

Themen

Gridded and Scattered Sample Data
Introduction to interpolating gridded and scattered data sets.
Interpolating Gridded Data

Interpolation of regularly spaced, axis-aligned data sets.
- Interpolation of Multiple 1-D Value Sets
- Interpolation of 2-D Selections in 3-D Grids
Interpolating Scattered Data

Interpolating scattered data using scatteredInterpolant.
- Extrapolating Scattered Data
- Interpolation Using a Specific Delaunay Triangulation

Enthaltene Beispiele

Resample Image with Gridded Interpolation

Use griddedInterpolant to resample the pixels in an image. Resampling an image is useful for adjusting the resolution and size, and you also can use it to smooth out the pixels after zooming.

Live Script öffnen

Normalize Data with Differing Magnitudes

Use normalization to improve scattered data interpolation results with griddata. Normalization can improve the interpolation results in some cases, but in others it can compromise the accuracy of the solution. Whether to use normalization is a judgment made based on the nature of the data being interpolated.

Live Script öffnen

Unterrichtsmaterialien

Numerische Methoden mitsamt Anwendungen

Erlernen Sie Methoden zur Interpolation, numerischen Integration und Ableitung sowie Finite-Differenz-Methoden für Differenzialgleichungen.