3D Analyst Tools ArcToolbox

Global Polynomial Interpolation, IDW and Kernel Interpolation with Barriers Tools

Global Polynomial Interpolation

How to use Global Polynomial Interpolation Tool in ArcToolbox ArcMap ArcGIS??

Global Polynomial Interpolation

Path to access the tool

:

Global Polynomial Interpolation Tool, Interpolation Toolset, Geostatistical Analyst Tools Toolbox

 

Global Polynomial Interpolation

Fits a smooth surface that is defined by a mathematical function (a polynomial) to the input sample points.

1.    Input features

The input point features containing the z-values to be interpolated.

2.    Z value field

Field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input features contain z-values or m-values.

3.    Output geostatistical layer (optional)

The geostatistical layer produced. This layer is required output only if no output raster is requested.

4.    Output raster (optional)

The output raster. This raster is required output only if no output geostatistical layer is requested.

5.    Output cell size (optional)

The cell size at which the output raster will be created.

This value can be explicitly set under Raster Analysis from the Environment Settings.

If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.

6.    Order of polynomial (optional)

The order of the polynomial.

7.    Weight field (optional)

Used to emphasize an observation. The larger the weight, the more impact it has on the prediction. For coincident observations, assign the largest weight to the most reliable measurement.

IDW

How to use IDW Tool in ArcToolbox ArcMap ArcGIS??

IDW Tool

Path to access the tool

:

IDW Tool, Interpolation Toolset, Geostatistical Analyst Tools Toolbox

 

IDW

Uses the measured values surrounding the prediction location to predict a value for any unsampled location, based on the assumption that things that are close to one another are more alike than those that are farther apart.

1.    Input features

The input point features containing the z-values to be interpolated.

2.    Z value field

Field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input features contain z-values or m-values.

3.    Output geostatistical layer (optional)

The geostatistical layer produced. This layer is required output only if no output raster is requested.

4.    Output raster (optional)

The output raster. This raster is required output only if no output geostatistical layer is requested.

5.    Output cell size (optional)

The cell size at which the output raster will be created.

This value can be explicitly set under Raster Analysis from the Environment Settings.

If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.

6.    Power (optional)

The exponent of distance that controls the significance of surrounding points on the interpolated value. A higher power results in less influence from distant points.

7.    Search neighborhood (optional)

Defines which surrounding points will be used to control the output. Standard is the default.

Standard

1. Major semiaxis—The major semiaxis value of the searching neighborhood.
2. Minor semiaxis—The minor semiaxis value of the searching neighborhood.
3. Angle—The angle of rotation for the axis (circle) or semimajor axis (ellipse) of the moving window.
4. Maximum neighbors—The maximum number of neighbors that will be used to estimate the value at the unknown location.
5. Minimum neighbors—The minimum number of neighbors that will be used to estimate the value at the unknown location.
6. Sector type—The geometry of the neighborhood.

• One sector—Single ellipse.
• Four sectors—Ellipse divided into four sectors.
• Four sectors shifted—Ellipse divided into four sectors and shifted 45 degrees.
• Eight sectors—Ellipse divided into eight sectors.

Smooth

1. Major semiaxis—The major semiaxis value of the searching neighborhood.
2. Minor semiaxis—The minor semiaxis value of the searching neighborhood.
3. Angle—The angle of rotation for the axis (circle) or semimajor axis (ellipse) of the moving window.
4. Smoothing factor—The Smooth Interpolation option creates an outer ellipse and an inner ellipse at a distance equal to the Major Semiaxis multiplied by the Smoothing factor. The points that fall outside the smallest ellipse but inside the largest ellipse are weighted using a sigmoidal function with a value between zero and one.

Standard Circular

1. Radius—The length of the radius of the search circle.
2. Angle—The angle of rotation for the axis (circle) or semimajor axis (ellipse) of the moving window.
3. Maximum neighbors—The maximum number of neighbors that will be used to estimate the value at the unknown location.
4. Minimum neighbors—The minimum number of neighbors that will be used to estimate the value at the unknown location.
5. Sector type—The geometry of the neighborhood.

• One sector—Single ellipse.
• Four sectors—Ellipse divided into four sectors.
• Four sectors shifted—Ellipse divided into four sectors and shifted 45 degrees.
• Eight sectors—Ellipse divided into eight sectors.

Smooth Circular

1. Radius—The length of the radius of the search circle.
2. Smoothing factor—The Smooth Interpolation option creates an outer ellipse and an inner ellipse at a distance equal to the Major Semiaxis multiplied by the Smoothing factor. The points that fall outside the smallest ellipse but inside the largest ellipse are weighted using a sigmoidal function with a value between zero and one.

8.    Weight field (optional)

Used to emphasize an observation. The larger the weight, the more impact it has on the prediction. For coincident observations, assign the largest weight to the most reliable measurement.

Kernel Interpolation with Barriers

How to use Kernel Interpolation with Barriers Tool in ArcToolbox ArcMap ArcGIS??

Kernel Interpolation with Barriers

Path to access the tool

:

Kernel Interpolation with Barriers Tool, Interpolation Toolset, Geostatistical Analyst Tools Toolbox

 

Kernel Interpolation with Barriers

A moving window predictor that uses the shortest distance between points so that points on either side of the line barriers are connected.

1.    Input features

The input point features containing the z-values to be interpolated. 

Input features

The input point features containing the z-values to be interpolated.

Z value field

Field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input features contain z-values or m-values.

Output geostatistical layer (optional)

The geostatistical layer produced. This layer is required output only if no output raster is requested.

Output raster (optional)

The output raster. This raster is required output only if no output geostatistical layer is requested.

Output cell size (optional)

The cell size at which the output raster will be created.

This value can be explicitly set under Raster Analysis from the Environment Settings.

If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.

Input absolute barrier features (optional)

Absolute barrier features using non-Euclidean distances rather than line-of-sight distances.

Kernel function (optional)

The kernel function used in the simulation.

·      EXPONENTIAL— The function grows or decays proportionally.

·      GAUSSIAN— Bell-shaped function that falls off quickly toward plus/minus infinity.

·      QUARTIC— Fourth-order polynomial function.

·      EPANECHNIKOV— A discontinuous parabolic function.

·      POLYNOMIAL5— Fifth-order polynomial function.

·      CONSTANT—An indicator function.

Bandwidth (optional)

Used to specify the maximum distance at which data points are used for prediction. With increasing bandwidth, prediction bias increases and prediction variance decreases.

Order of polynomial (optional)

Sets the order of the polynomial.

Ridge parameter (optional)

Used for the numerical stabilization of the solution of the system of linear equations. It does not influence predictions in the case of regularly distributed data without barriers. Predictions for areas in which the data is located near the feature barrier or isolated by the barriers can be unstable and tend to require relatively large ridge parameter values.

Output surface type (optional)

Surface type to store the interpolation results.

·      PREDICTION—Prediction surfaces are produced from the interpolated values.

·      PREDICTION_STANDARD_ERROR— Standard Error surfaces are produced from the standard errors of the interpolated values.

2.    Z value field

Field that holds a height or magnitude value for each point. This can be a numeric field or the Shape field if the input features contain z-values or m-values.

3.    Output geostatistical layer (optional)

The geostatistical layer produced. This layer is required output only if no output raster is requested.

4.    Output raster (optional)

The output raster. This raster is required output only if no output geostatistical layer is requested.

5.    Output cell size (optional)

The cell size at which the output raster will be created.

This value can be explicitly set under Raster Analysis from the Environment Settings.

If not set, it is the shorter of the width or the height of the extent of the input point features, in the input spatial reference, divided by 250.

6.    Input absolute barrier features (optional)

Absolute barrier features using non-Euclidean distances rather than line-of-sight distances.

7.    Kernel function (optional)

The kernel function used in the simulation.

1. EXPONENTIAL— The function grows or decays proportionally.
2. GAUSSIAN— Bell-shaped function that falls off quickly toward plus/minus infinity.
3. QUARTIC— Fourth-order polynomial function.
4. EPANECHNIKOV— A discontinuous parabolic function.
5. POLYNOMIAL5— Fifth-order polynomial function.
6. CONSTANT—An indicator function.

8.    Bandwidth (optional)

Used to specify the maximum distance at which data points are used for prediction. With increasing bandwidth, prediction bias increases and prediction variance decreases.

9.    Order of polynomial (optional)

Sets the order of the polynomial.

10. Ridge parameter (optional)

Used for the numerical stabilization of the solution of the system of linear equations. It does not influence predictions in the case of regularly distributed data without barriers. Predictions for areas in which the data is located near the feature barrier or isolated by the barriers can be unstable and tend to require relatively large ridge parameter values.

11. Output surface type (optional)

Surface type to store the interpolation results.

• PREDICTION—Prediction surfaces are produced from the interpolated values.
• PREDICTION_STANDARD_ERROR— Standard Error surfaces are produced from the standard errors of the interpolated values.