The present disclosure includes methods and systems for manipulating digital models based on user input. In particular, disclosed systems and methods can generate modified meshes in real time based on a plurality of input meshes and user manipulation of one or more control points. For example, one or more embodiments of the disclosed systems and methods generate modified meshes from a plurality of input meshes based on a combined shape-space, deformation interpolation measure. Moreover, in one or more embodiments, the disclosed systems and methods utilize an as-rigid-as-possible-deformation measure to combine input meshes into a modified mesh. Further, the disclosed systems and methods can variably combine input shapes over different portions of a modified mesh, providing increased expressiveness while reducing artifacts and increasing computing efficiency.