user: Explain Shape Key Drivers in complete detail according to the official Blender documentation.

assistant: ### Improved Mesh Deformation

Fix intersection problems that happen when using armatures and weight painting, especially at joints.
Shape keys can also be used to tweak and refine a rig, for example to suggest muscle formations.
In this example, a shape key is used to improve the deformation at the elbow of a rudimentary arm.

[image reference removed]

Left: Skeletal mesh deformation without correction.
Right: Corrective shape key applied

Setup
:   1. Add a mesh (in this example, a cylinder with loop cuts).
    2. Add an armature with a chain of bones.
    3. Skin the mesh to the armature using weight painting.

    (Note: to parent the mesh to the armature: select the mesh first,
    then the armature and use `Ctrl`-`P` to parent with auto weights.)

Experiment with posing the armature and observe the deformation at the joint.
To fix intersection problems or angles that look unsatisfactory,
you can associate a [Shape Key](../shape_keys/index.html) with a pose.

Shape Key
:   1. Pose the armature such that the problems are visible.
       Be sure to cover the extreme poses that you want to support for the rig.
    2. With the mesh selected, add a new *Shape Key* in addition to the *Basis* key.
       Properties ‣ Mesh tab ‣ Shape Keys
    3. In order to author the shape key on top of the armature deformation,
       enable both *Edit Mode Display* and *Cage Editing* in the Armature modifier.
       Properties ‣ Modifiers tab ‣ Armature Modifier ‣ Header
    4. Enter Edit Mode and select the new shape key in the properties panel.
       Adjust the vertices as desired.
       Select the *Basis* key to toggle between the original mesh and your edits.
       (Note: be careful to apply edits only to your shape and not to
       the original mesh or other existing keys.)

Once you are satisfied with how the deformation looks for the problematic pose,
you’ll need to configure a driver to activate the shape smoothly when entering that position.

Driver
:   1. Add a driver to the *Value* of the shape key you’ve created.
    2. Open the Drivers Editor and select the driver.

    Method 1 – Direct mapping to a bone rotation value
    :   A simple way to configure the driver is with a direct correspondence of
        the value of a bone’s rotation channel to the shape key activation *Value*.
        This method has the disadvantage of relying on a single channel of a bone’s
        rotation which might be insufficient to precisely express the condition
        under which the shape key should be activated.

        1. In the Drivers tab, select the *Averaged Value* of the rotation of
           the bone you are posing.

           Understand the rotation axis that you are interested in by enabling axes display
           in the armature or by observing the bone’s transform values in the Properties.

           Select the rotation channel and set it to local, meaning, the bone’s
           rotation value relative to its parent bone.

           [image reference removed]
        2. Manually set points in the driver curve by selecting a handle and
           dragging it or inserting values in the *F-Curve* tab.
           The Y axis represents the shape key *Value*, which should go from 0.0 to 1.0.
           The X axis is usually the frame, but for this driver it represents the rotation value in radians.
           You can have more than two points in the curve and tweak the transitions
           with the handles in the curve view (`G` to move).
        3. To verify that the driver behaves correctly, deselect the option to
           only show drivers for selected objects. This way, you can pose the armature
           and keep an eye on the driver.

    Method 2 – Rotational difference to a target bone
    :   This method requires an additional *target* or *corrective* bone, but it
        better expresses the spatial condition in 3D space of the bone that is
        causing the problem.

        1. In armature Edit Mode, add a new bone extruded from Bone 1,
           in the position at which Bone 2 should have the shape key active.
           This type of bones usually follow a naming convention such as
           “TAR-” (target) or “COR-” (corrective).
        2. In the Drivers tab, select the *Averaged Value* of the rotational difference
           between the bone you are rotating and the target bone.
           A rotational difference is the minimum angle between two objects in World Space.
           It is therefore important that the bones have the same root,
           so that the only thing affecting the angle between the bones is the rotation of one of them.
           When the deformation bone (Bone 2) reaches the target rotation (TAR-Bone 2)
           the rotational difference will be 0°.

           [image reference removed]
        3. Manually adjust the driver curve handles so that the shape key *Value*
           (Y axis) is 1.0 when the rotational difference (X axis) is 0°.
           The *Value* should be 0.0 when the arm is extended, at which point
           the rotational difference should be around 90° or more (in radians).
        4. See the steps in Method 1 on how to adjust the curve handles and
           confirm that the functionality is working. Pose the armature to
           verify that the ranges are correct.

### Chained Relative Shape Keys

Activate different shape keys in succession.
In this example, moving a single bone will activate first *Key 1* and then *Key 2*.
See also [relative shape keys mix additively](../shape_keys/introduction.html#animation-shapekeys-relative-vs-absolute).

Shape Keys
:   Add two shape keys to a mesh, besides the *Basis*.

|  |  |  |
| --- | --- | --- |
| <../../_images/animation_drivers_workflow-examples_chained-shape-keys-basis.png>   Basis. | <../../_images/animation_drivers_workflow-examples_chained-shape-keys-key1.png>   Key 1: top faces moved up by 1 m. | <../../_images/animation_drivers_workflow-examples_chained-shape-keys-key2.png>   Key 2: inner top moved up by 1 m. |

Drivers
:   Add an armature with a single bone to control the shape keys.
    The goal is to activate the keys in succession as this bone moves up.

    [image reference removed]

    As shown in the picture above, when the bone is halfway up, both *Key 1* and *Key 2* have an influence.
    It is a matter of preference if *Key 1* should be at its maximum *Value* before *Key 2* starts to become active,
    or how much they should overlap. This example shows a seamless blend.

    For a seamless blend where there is overlap, *Key 1* should have a *Value* of 0.0 when the bone
    is at the bottom and increase linearly to 1.0 until the bone is past the midpoint height.
    *Key 2* should have a value of 0.0 before the midpoint height and then increase at the same
    rate than *Key 1* until reaching *Value* 1.0 when the bone is at maximum height.

    1. Add a driver to the *Value* of *Key 1* and *Key 2*.
       In the *Drivers* tab, configure both drivers to be the *Averaged Value* of
       a variable with the bone’s Z location.
    2. Determine the range of the bone’s motion in the World Z axis by moving it up so that it is
       aligned with the top of the mesh when both keys are active. Here we will use [0.0, 2.5].
    3. Configure the driver functions so that the *Value* of the shape keys (Y axis) is as
       desired for the bone’s height (X axis).

       The driver functions should be linear, therefore, they can be defined analytically
       with a function of type \(y = a + bx\),
       where \(a\) is an offset in \(y\) and \(b\) is the slope.

       1. In the *Modifiers* tab, add a *Generator* of type *Extended Polynomial* for both drivers.
       2. Play with the values of \(a\) and \(b\) so that the curves go from [0.0, 1.0]
          in the Y axis and from [0.0, 2.5] in the X axis.
          The curves should overlap in the mid area of the X axis and they should have the same slope (\(b\)).

          Possible values are *Key 1*: \(y = 0.0 + 0.6x\) and *Key 2*: \(y = -0.5 + 0.6x\).

          [image reference removed]

          Note that the functions go outside the range [0.0, 1.0] for the shape keys’ *Value*,
          but that has no effect because *Value* is clamped in a *Range* in the *Shape Keys* panel.