RBF Scalar Field

Dependencies

This node optionally uses SciPy library to work.

Functionality

This node generates a Scalar Field for given set of points in 3D space and corresponding scalar field values, by use of RBF method. Depending on node parameters, the field can be interpolating, i.e. have exactly the provided values in the provided points, or only approximating.

Inputs

This node has the following inputs:

• Vertices. The set of points where the values of scalar fields are known. This input is mandatory.

• Values. Values of the scalar field in the specified points. This input is mandatory.

• Epsilon. Epsilon parameter of used RBF function; it affects the shape of generated field. The default value is 1.0.

• Smooth. Smoothness parameter of used RBF function. If this is zero, then the field will have exactly the specified values in all provided points; otherwise, it will be only an approximating field. The default value is 0.0.

Parameters

This node has the following parameter:

• Function. The specific function used by the node. The available values are:

  • Multi Quadric

  • Inverse

  • Gaussian

  • Cubic

  • Quintic

  • Thin Plate

    

  The default function is Multi Quadric.

Outputs

This node has the following output:

• Field. The generated scalar field.

Example of usage

The field is generated by following data:

• In the origin, it has value of 0;

• In eight vertices of 2x2x2 cube, it has the value of 2;

• In the vertices of 4x4x4 cube, it has the value of 4.

• Generator-> Box

• Fields-> Scalar Field Graph

• Number-> List Input

• Vector-> Vector In

• List->List Main-> List Join

• Viz-> Viewer Draw

---

Let’s move the smaller cube slightly and generate an iso-surface instead of iso-curves:

• Generator-> Box

• Surfaces-> Marching Cubes

• Number-> List Input

• Vector-> Vector In

• Matrix-> Matrix In

• List->List Main-> List Join

• Viz-> Viewer Draw

---

• Generator-> Segment

• Generator-> Plane

• Generator-> Box

• Generator->Generators Extended Torus Knot

• Generator->Generatots Extended-> Spiral

• Surfaces-> Marching Cubes

• Transform-> Noise Displace

• Number-> A Number

• Matrix-> Matrix In

• List->List Main-> List Length

• List->List Struct-> List Repeater

• List->List Struct-> List Item Insert

• Viz-> Viewer Draw

• Text-> Stethoscope