A Topology-based Animation Model for the Description of 2D Models with a Dynamic Structure

This paper presents a model that describes the temporal evolution of 2D-topological structures to represent and control dynamic natural phenomena. As input, the user provides the system with a list of actions that gives a high-level description of the evolution in terms of application-specific operations. As output, a complete representation of the evolution is computed. Our model is composed of three parts: A structural model allowing the temporal representation of both topology and geometry; an event model that aims at detecting topological modifications and ensures consistency between topology and geometry; and a semantic model that simultaneously describes the evolution as a sequence of elementary modifications and manages the history of the various entities of the model. We show the efficiency of the model in the geology field, by studying two well-known phenomena, namely sedimentation and erosion.