Degrees of Freedom for Features in QuickAlign

The Auto-align algorithms are based on GD&T datum precedence principles and the native degrees of freedom (DOF) of each feature type.

DOF of Supported Features

The supported features are grouped into the following six DOF-based cases, detailed in this table:

DOF Case Feature Types DOF Constraints

Planar

Planes, 3D Widths

R1 R2 T3

Axial

Cylinder, 3D lines, Cones*

R1 R2 T1 T2

2D Line

Lines (on a surface), 2D Widths

R1 T2

1D Point

Vector Points, Round Slots*, Square Slots*

T1

2D Points

Circles, Ellipses*, Edge Points, Angle Points

T1 T2

3D Points

Spheres, Corner Points

T1, T2, T3

* These features are treated differently in the QuickAlign algorithm:

Table Key:

R1 - Rotation DOF about the first coordinate axis

R2 - Rotation DOF about the second coordinate axis

T1 - Translation DOF in first coordinate axis direction

T2 - Translation DOF in the second coordinate axis direction

T3 - Translation DOF in the third coordinate axis direction