1. A method for providing a mesh for automatically animating artwork based on handle movement on the artwork, the method comprising: generating, by a processor of a computing device, the mesh based on the artwork, wherein the mesh comprises vertices forming triangles on the artwork, wherein handles are located at some of the vertices; calculating, by the processor of the computing device, bounded biharmonic weights for the handles, the bounded biharmonic weights representing significance of individual handles to individual vertices of the mesh; determining, by the processor of the computing device, to add resolution to a portion of the mesh based on the bounded biharmonic weights of vertices of a triangle in the portion of the mesh; refining, by the processor of the computing device, the mesh by increasing triangles and vertices in the portion of the mesh to add resolution to the portion of the mesh; and using, by the processor of the computing device, the mesh to automatically animate artwork based on handle movement, wherein determining to add resolution to the portion of the mesh comprises determining that a maximum difference between bounded biharmonic weights of any two of the vertices of the triangle exceeds a threshold.