Face Pinching control allows you to remove small features to improve the mesh quality.
Face Pinching Details view has the following options:
General
Control Type: Displays the selected control type.
Scope
Define By: Allows you to define the input to the selected control. The available options are Value and Outcome.
Value: Allows you to manually set the value of the Scoping Method and Scoping Pattern.
Outcome: Allows you to select the existing scoped outcomes from the previous steps as input.
Scoping Method: Allows you to select the entities for the selected control. The available options are:
Part: Allows you to select parts for defining the scope of the control.
Label: Allows you to select labels for defining the scope of the control.
Zone: Allows you to select zones for defining the scope of the control.
Scoping Pattern: Allows you to specify the name pattern to get the selected Scoping Method. Scoping Pattern supports Regular Expression. You can click
  on the right corner of the option and the
                        following options are available:Publish: Publishes Scoping Pattern to the Property Worksheet.
Scope All: Inserts '.*' regular expression to scope all entities.
Definition
Pinch Tolerance: Allows you to pinch the faces below the specified tolerance. The default value of Pinch Tolerance is 0.0. You can click
  on the right corner of the
                        option and click Publish to publish Pinch
                        Tolerance to the Property Worksheet. You can
                        parametrize Pinch Tolerance.Feature Angle: Specifies the minimum dihedral angle at which the geometry features are repaired. The default value is 30 degrees. You can provide any value between 0 to 180 degrees.
You can click
  on the right
                        corner of the option and click Publish to publish
                        Feature Angle to the Property
                        Worksheet. You can parametrize Feature
                        Angle. Feature Angle is the dihedral angle
                        measured as follows:
When θ = 0, two surfaces are perfectly tangential, and the edges are not protected. Hence, the two surfaces can be merged, or edges can be suppressed, pinched or more.
When 30 ≤ θ ≤ 90 degrees, the edges between the two surfaces are protected and cannot perform merging or pinching at the location.

θ = 90
When θ > 90 degrees, the surfaces are not protected and prevent topology operations like merge or pinch on faces or edges.