Interpolation

Gridded and scattered data interpolation, data gridding, piecewise polynomials

Interpolation is a technique for adding new data points within a range of a set of known data points. You can use interpolation to fill-in missing data, smooth existing data, make predictions, and more. Interpolation in MATLAB^®is divided into techniques for data points on a grid and scattered data points.

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

Funzioni

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1-D and Gridded Interpolation

`interp1`	1-D data interpolation (table lookup)
`interp2`	Interpolation for 2-D gridded data in meshgrid format
`interp3`	三维网格数据插值meshgridformat
`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)

Grid Creation

`ndgrid`	Rectangular grid in N-D space
`meshgrid`	２－D and 3-D grids

Scattered Interpolation

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

Argomenti

Gridded and Scattered Sample Data
Introduction to interpolating gridded and scattered data sets.
Interpolating Gridded Data
Interpolation of regularly spaced, axis-aligned data sets.
- 多个一维值集的插值
- Interpolation of 2-D Selections in 3-D Grids
Interpolating Scattered Data
Interpolating scattered data usingscatteredInterpolant.
- Extrapolating Scattered Data
- Interpolation Using a Specific Delaunay Triangulation

Informazioni complementari

Numerical Methods with Applications (MathWorks Teaching Resources)

Esempi in primo piano

Resample Image with Gridded Interpolation

UsegriddedInterpolantto 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.

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Normalize Data with Differing Magnitudes

Use normalization to improve scattered data interpolation results withgriddata. 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.

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