I will present an approach to define shape deformations by
constructing and interactively modifying C1 continuous time-dependent
divergence-free vector fields. The deformation is obtained by a path
line integration of the mesh vertices. This way, the deformation is
volume-preserving, free of (local and global) self-intersections,
feature preserving, smoothness preserving, and local. Different modeling
metaphors support the approach which is able to modify the vector field
on-the-fly according to the user input. The approach works at
interactive frame rates for moderate mesh sizes, and the numerical
integration preserves the volume with a high accuracy.