Mesh editing methods based on differential surface representations are known for their efficiency and ease of implementation. For reconstruction from such representations, local frames have to be determined which is a nonlinear problem. In linear approximations frames can either degenerate or become inconsistent with the geometry. Both results in contra-intuitive deformations. Existing non-linear approaches, however, are comparatively slow and considerably more complex. In this paper we present a differential representation that implicitly enforces orthogonal and geometry consistent frames while allowing a simple and efficient implementation. In particular, it enforces conformal surface deformations preserving local texture features.
Citation:
Nikolas Paries, Patrick Degener, Reinhard Klein, "Simple and Efficient Mesh Editing with Consistent Local Frames," pg, pp.461-464, 15th Pacific Conference on Computer Graphics and Applications (PG'07), 2007