I am looking for people (bibliography or formalized data structures) working on the study of geometry as it relates to interactivity, transition (entry point: insertion or deletion in a neighborhood or feature space). This approach reflects greatly upon real-time updates and modification of the point-set representation in a dynamic behavior. (Consider the rotary sprinkler.)
While classical geometry omits the time domain, Interactive behavior makes this classical view of geometry a partial view. How mobile geometry can be?
This regard for geometry in a temporal context applies to a variety of cases:
1. particle systems 2. dynamic (non-linear) behavior (optical, acoustical, or sensorimotor). 3. scientific visualization