The versatile Bezier controllers interpolate between keys using an adjustable spline curve.

Use Bezier controllers whenever you want fully adjustable interpolation between keys. Bezier is the only controller that supports the following:
To set the tangent type for a transform key:
Select an object that has some transform-animation keys.
Motion panel and at the bottom of the PRS Parameters rollout, click the button for the type of transform key to change, such as Position.To normalize time for a key:
Select an object, and then choose a key to normalize.
You can use the arrows in the Key Info (Basic) rollout to step through keyframes.
On the
Motion panel > Key Info (Advanced) rollout, click Normalize Time.
The key is moved in time to average the velocity through the key.
You can open a dialog with the same parameters by right-clicking a key in Track View, or by right-clicking a key on the track bar and then choosing the key to edit.

The current key number. To go to an adjacent key, click the left or right arrow button.
When in the animation the key occurs.
Controls dragging the key horizontally in Track View edit modes. When on, you can drag the key vertically only.
Adjusts the value of the key; that is, the vertical position in the Curve Editor.
Causes the X value to affect all three axes of scale. The Y and Z values are ignored and their function curves are not displayed.

When X is locked, the Y and Z values are not affected by changes in the X value. If you lock X when all three axes are at identical values, alter the X value, and then unlock X, the Y and Z values remain where they were while X retains its new value.
The two flyouts set the interpolation properties of the In and Out tangents of the key.
See Tangent Types.
Copies the tangent type between the tangents of the current key or between the tangents of the previous and next key. Use the arrow buttons on either side of the Key Tangent flyouts as follows:

Controls in the rollout affect velocity in three ways:
The In field displays the rate of change as the parameter approaches the key. The Out field displays the rate of change as the parameter leaves the key.
These fields are active only for keys that use the Spline tangent type.
The number in the field is the rate of change expressed as parameter units per Tick. By changing the two values for X, Y, and Z you are changing the length and angle of the tangent handle.
When on, changing one Spline tangent changes the other by equal but opposite amount. For example, if the Lock button is on and the In value is 0.85, then the Out value is -0.85.
Averages the position of the keys in time and is applicable to any consecutive blocks of selected keys. Useful if you want to smooth out the motion and have an object that speeds up, slows down, speeds up, and slows down.
Interpolates values between a key and the next one in a way that makes the object move at a constant velocity across that curve segment.
Used for automatically updating the length of the tangent handle. When this is turned off, the length of the tangent is at a fixed percentage from its neighboring key. As you move a key, the handles adjust to stay the same percentage away from the neighboring keys. When this is turned on, the handle lengths are based on time lengths.
Sets both the incoming handle of the current key and the outgoing handle of the previous key to Linear interpolation. This prevents overshoot from the Spline interpolation.
To use these two features, first create a keyboard shortcut in Customize > Customize User Interface. Look for Create Position Lock Key and Create Rotation Lock Key in the Action list and assign hotkeys. Or you can add these commands to a toolbar or a quad menu (Quads panel).