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TGIS_InterpolationKriging class

DK11 for Delphi | GisInterpolation.TGIS_InterpolationKriging | Classes | Constructors | Methods | Properties

Implementation of the ordinary Kriging interpolation method.

Available also on: .NET | Java | ActiveX | Python.


// Delphi
  TGIS_InterpolationKriging = class( TGIS_VectorToGridAbstract )
// C++ Builder
class PASCALIMPLEMENTATION TGIS_InterpolationKriging : public TGIS_VectorToGridAbstract



Inherited Overrides Protected
Name Visibility Description
Create public


Inherited Overrides Protected
Name Visibility Description
Generate public Populates a pixel (grid) layer with values resulting from computations based on the set of sample points from the vector layer.
(Overrides TGIS_VectorToGridAbstract.Generate)


Inherited Protected
Name Visibility Description
Coordinate public Defines which coordinate is taken as interpolation value if the interpolation is not based on an attribute field; default is Z.
(Inherited from TGIS_VectorToGridAbstract)
DefaultValue public If UseDefaultValue is true, then this value will be set for each grid cell for which the interpolated value cannot be computed.
(Inherited from TGIS_VectorToGridAbstract)
MaxPoints public The maximum number of input data points used to interpolate at each grid cell; default is 4.
MinPoints public The minimum number of input data points used to interpolate at each grid cell; default is 4.
Radius public Defines the distance of search for input data points for a grid cell.
Semivariance public Model used for the semivariance calculation; default is power-law.
UseDefaultValue public If true, then each grid cell for which the interpolated value cannot be computed will be set to DefaultValue.
(Inherited from TGIS_VectorToGridAbstract)
Windowed public If True then the windowed version of the algorithm is used; false by default.



The Kriging interpolation method is a geostatistical technique that considers the distance and the degree of variation of the input data.


There are two different scenarios for generating a Kriging interpolated grid:

  1. based on a Z, M, or Z+M coordinate value:
    • set the Coordinate property to the desired option
    • pass an empty string as the field name to the Generate method
  2. based on an attribute field value:
    • pass the field name to the Generate method
    • with the above, the Coordinate property is neglected

The Semivariance property defines semivariance model implementation. The default semivariance model is Power Law. The complete list of implemented semivariance models:

  • Power Law as TGIS_SemivariancePowerLaw
  • Exponential as TGIS_SemivarianceExponential
  • Gaussian as TGIS_SemivarianceGaussian
  • Spherical as TGIS_SemivarianceSpherical
  • Circular as TGIS_SemivarianceCircular
  • Linear as TGIS_SemivarianceLinear

To implement an additional semivariance model, inherit from TGIS_SemivarianceAbstract, TGIS_SemivarianceWithRange or TGIS_SemivarianceWithSill (depending on the type of semivariance).

Use a windowed version of the algorithm (Windowed=True) for large datasets (thousands of points and more). For up to few hundred points, the non-windowed (full sample) algorithm is efficient enough and gives best possible results. The Radius property is the size of the window in map units. The MinPoints/MaxPoints properties define the minimum/maximum number of sample points necessary/taken to interpolate a grid value.


  • interpolated values exceed the range of minimum to maximum values of the input data
  • extreme input value changes on short distances do not cause huge errors


  • interpolated values do not match the input values (but are very close)



  src : TGIS_LayerVector ;
  dst : TGIS_LayerPixel ;
  vtg : TGIS_InterpolationKriging ;  
  ext : TGIS_Extent ; 
  // get the source layer (GIS is TGIS_ViewerWnd)
  src := TGIS_LayerVector( GIS.Get( 'points' ) ) ;
  ext := src.Extent ;
  // create the destination layer (grid, 200x200 pixels)
  dst := TGIS_LayerPixel.Create ;
  dst.Build( True, lsrc.CS, ext, 200, 200 ) ;
  dst.Name := 'Heatmap' ;
  dst.Params.Pixel.GridShadow := False ;
  // create an instance of the kriging interpolation engine
  vtg := TGIS_InterpolationKriging.Create ;
    // attach event to track the progress
    vtg.BusyEvent := doBusyEvent ;
    // set the semivariance model
    svr := TGIS_SemivarianceSpherical.Create ;
    svr.Range := 15.0 ;
    svr.Sill := 0.0 ;
    vtg.Semivariance := svr ;
    // initiate the grid generation process for the
    // POPULATION attribute field
    vtg.Import( lsrc, ext, 'POPULATION', ldst, ext ) ;
    vtg.Free ;
  end ;  
  // add the grid to the viewer
  GIS.Add( dst ) ;
  // update the viewer
  GIS.FullExtent ;
end ;


2023/02/24 20:34

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