1. A computer animation method for creating animated characters which include body members coupled at joints and which perform movement gesture actions, the computer animation method comprising the steps of: selecting a first gesture action and a second different gesture actions from a library of stochastically defined movement gesture actions, each of the first and second gesture actions being defined by values over time for a set of parameters which govern a movement at the joints of the animated characters; rendering the animated characters as a function of the first gesture action; further rendering the animated characters by transitioning between the first gesture action and the second gesture action by diminishing during a predetermined time interval a weight of the values of the parameters of the first gesture action and simultaneously increasing during the predetermined time interval a weight of the values of the parameters of the second gesture action to provide a smooth transition between the first and second gesture actions; wherein the library of stochastically defined movement gesture actions includes at least one composite gesture action controlling a plurality of movements at a plurality of joints of the animated character.