The present disclosure relates to systems, methods, and non-transitory computer-readable media that utilize simultaneous, multi-mesh deformation to implement edge aware transformations of digital images. In particular, in one or more embodiments, the disclosed systems generates a transformation handle that targets an edge portrayed in a digital image. In some cases, the disclosed systems provide the transformation handle for display over the digital image. Additionally, in one or more embodiments, the disclosed systems generate vectors splines and meshes for the edge and one or more influenced regions adjacent to the edge. In response to detecting a user interaction with the transformation handle, the disclosed systems can modify the edge and the at least one influenced region by modifying the corresponding vector splines and meshes.