3D Free-form Deformation

By Chase Khamashta

Background

• In computer graphics, free-form deformation (FFD) is a geometric technique used to model simple deformations of rigid objects. It is based on the idea of enclosing an object within a cube or another hull object, and transforming the object within the hull as the hull is deformed.

Concepts in FFD

• Local Coordinates

• Bezier Curves• Control Points

The Bezier Curve

• Bezier curve equation

• Geometric Representation

The Curve in FFD

• The local coordinates remain the same• Spatial coordinates change according to vertex

location in the local space.

The Curve in FFD (cont.)

• Calculating the new vertex location