Area - preserving skeleton - driven deformation Students :

We present a variation of the planar As-Rigid-As-Possible deformation designed to preserve try and preserve the area of the deforming shape. We focus on bending deformations of a planar triangle mesh. The mesh is subdivided by introducing vertices where its edges are intercepted by a circular arc spine. The spine may be moved, rotted and bent (by changing its radius) but preserves its length. The mesh deforms as if it were attached to the spine at these introduced vertices, while attempting to preserve the shape and area of its triangles. We compare our approach to alternatives, including pure bending and bending corrected for area preservation, for which we have closed-form solutions.