2D Physics-Based Deformable Shape Models: Explicit Governing Equations

This paper presents an accurate, very fast approach for the deformations of 2D physically based shape models representing open and closed curves. The introduced models overcome the main shortcoming of other deformable models, i.e. computation time. The approach relies on the determination of explicit deformation governing equations, that involve neither eigenvalue decomposition nor any other computationally intensive numerical operation. The approach was evaluated and compared with another fast and accurate physics-based deformable shape model, both in terms of deformation accuracy and computation time. The conclusion is that the introduced model is completely accurate and is deformed very fast on current personal computers.