In this paper we present a new approach to the editing of polygons, images and triangulated surface meshes featuring the exact specification of the area that is being edited, the area that remains unchanged and an area that is transformed rigidly. This allows intuitive editing of arbitrary triangle meshes as well as 2D-images. Furthermore, the shape of the deformed area can be modified interactively by manipulating a simple parametric curve. The key contributions of this paper are that we include not only translations and rotations in our editing paradigm but the whole spectrum of affine transformations. We include a refinement approach to allow for sharp feature edits even in sparsely sampled areas. In spite of these features the algorithm is very fast and simple and can easily be generalized to the case of tetrahedrized volumes.