Scalar fields

What is a scalar field

  • A mapping from every point in 3D to a scalar value
  • Example: temperature in each point in a room
  • Hard to visualize in 3D as points will cover each others
  • Can be partly visualized by slicing

How to map a scalar field to a 3D body

  • Define the 3D body as all points in 3D with a scalar value larger or less than a fixed limit

CAD design in 4D by scalar fields

An alternative design method based on working with 4-dimensional bodies that are finally transforming down to 3D


  • Fully organic design that is difficult (impossible?) to achieve by working directly in 3D
  • More experience is needed to tell ...
3:22 - IN5590