title: Using chaos to generate variations on movement sequences.
abstract: We describe a method for introducing variations into predefined motion sequences using a chaotic symbol-sequence reordering technique. A progression of symbols representing the body positions in a dance piece, martial arts form, or other motion sequence is mapped onto a chaotic trajectory, establishing a symbolic dynamics that links the movement sequence and the attractor structure. A variation on the original piece is created by generating a trajectory with slightly different initial conditions, inverting the mapping, and using special corpus-based graph-theoretic interpolation schemes to smooth any abrupt transitions. Sensitive dependence guarantees that the variation is different from the original; the attractor structure and the symbolic dynamics guarantee that the two resemble one another in both aesthetic and mathematical senses. (c) 1998 American Institute of Physics.
authors.affiliation: Department of Computer Science, University of Colorado, Boulder, Colorado 80309-0430.
authors.forename: Elizabeth
authors.initials: E
authors.lastname: Bradley
authors.forename: Joshua
authors.initials: J
authors.lastname: Stuart