On Bending in the As‐Rigid‐As‐Possible Deformation Energy

Abstract

The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty. We discretize an intuitive variant of the energy and demonstrate that it is independent of mesh resolution and produces comparable results to those of competing methods that include an explicit bending penalty term. We validate our method and demonstrate that, despite its computational overhead, it converges among the fastest of all ARAP variants.