Curve Curvature

Functionality

This node calculates curve’s curvature at certain value of the curve’s T parameter. It can also calculate curve’s curvature radius and the center of osculating circle.

• Generator-> Segment

• Curves-> Evaluate Curve

• Number-> Number Range

• List->List Struct-> List Levels

• Viz-> Viewer Draw

• Scene-> Bezier Input

Inputs

This node has the following inputs:

• Curve. The curve to measure curvature for. This input is mandatory.

• T. The value of curve’s T parameter to measure curvature at. The default value is 0.5.

Parameters

This node does not have parameters.

Outputs

This node has the following outputs:

• Curvature. Curvature value.

• Radius. Curvature radius value.

• Center. This contains the center of osculating circle as well as circle’s orientation.

Example of usage

Calculate and display curvature at several points of some random curve:

• Generator-> Random Vector

• Curves-> Cubic Spline

• Curves-> Curve Domain

• Curves-> Evaluate Curve

• Number-> Number Range

• Viz-> Viewer Index+

• Viz-> Viewer Draw