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Working with Inverse
                                     Kinematics








                                          inematics is a branch of mechanics that deals with the motions of a sys-  CHAPTER
                                          tem of objects, so inverse kinematics would be its evil twin brother that   IN THIS CHAPTER
                                     Kdeals with the nonmotion of a system of objects. Well, not exactly.
                                                                                                    Understanding forward and
                                     In Max, a system of objects is a bunch of objects that are linked together. After a   inverse kinematics
                                     system is built and the parameters of the links are defined, the motions of all the
                                     pieces below the parent object can be determined as the parent moves, using   Using interactive and applied
                                     kinematics formulas.                                             IK methods
                                     Inverse kinematics (IK) is similar, except that it determines all the motions of   Setting thresholds in the
                                     objects in a system when the last object in the hierarchy chain is moved. The   Inverse Kinematics panel of
                                     position of the last object, such as a finger or a foot, is typically the one you’re   the Preference Settings
                                     concerned with. Using IK, you can then use these solutions to animate the sys-  dialog box
                                     tem of objects by moving the last object in the system.
                                                                                                    Learning to work with the HI,
                                                                                                      HD, and IK Limb solvers
                                     Forward Kinematics versus Inverse
                                     Kinematics

                                     Before you can understand IK, you need to realize that another type of kinemat-
                                     ics exists—forward kinematics. Kinematics solutions work only on a kinematics
                                     chain, which you can create by linking children objects to their parents.
                                     Cross-Ref
                                     Chapter 9, “Grouping, Linking, and Parenting Objects,” covers linking objects
                                     and creating kinematics chains. n
                                     Forward kinematics causes objects at the bottom of a linked structure to move
                                     along with their parents. For example, consider the linked structure of an arm,
                                     where the upper arm is connected to a forearm, which is connected to a hand,
                                     and finally to some fingers. Using forward kinematics, the lower arm, hand, and
                                     fingers all move when the upper arm is moved.



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