Sphere Fit

Functionality

This node tries to approximate the provided set of vertices by a sphere (in other words, fit a sphere through given set of vertices). It searches for such a sphere, that all provided vertices have the minimum distance to it.

The sphere is represented by it’s center point and radius.

For this node to work correctly, it needs at least 4 vertices on the input.

Inputs

This node has the following input:

• Vertices - the vertices to be approximated with a sphere.

Outputs

This node has the following outputs:

• Center - the center of the sphere.

• Radius - the radius of the sphere.

• Projections - projections of the input vertices to the sphere surface.

• Diffs - difference vectors, i.e. vectors pointing from original vertices to their projections to the sphere.

• Distances - distances from the original vertices to the sphere surface.

Examples of usage

Fit a sphere for vertices from arbitrary mesh:

• Generator-> Sphere

• Scene-> Objects In Lite

• Transform-> Move

• Viz-> Viewer Draw

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Fit a sphere for vertices from random vectors:

• Generator-> Random Vector

• Generator-> Segment

• Generator-> Sphere

• Transform-> Noise Displace

• Matrix-> Matrix In

• Viz-> Viewer Draw