Multi-Scale Surface Representations and Modeling

Mario Botsch, Robert Sumner, Mark Pauly, Markus Gross

Linear surface deformation techniques have the advantage that they can be computed more robust and much faster than non-linear techniques. Their drawback is that they do not correctly preserve or deform small scale geometric details, unless they are complemented by a multi-scale hierarchy. Then a global deformation changes the low frequencies of the shape (B to B'), and adding the high frequencies back yields the desired multiresolution edit (S').

Typically the geometric details, i.e., the high frequencies, are represented as displacements in normal direction, but this can lead to shape distortions up to self-intersections. In this project we represent the deformation from B to B' by deformation gradients and use the deformation transfer framework to compute the deformation S to S'. The resulting deformation better avoid local self-intersections and yield more natural results. The image shows the original model, a deformation without multi-scale hierarchy, normal displacements, and our new technique.

• M. Botsch, R. Sumner, M. Pauly, M. Gross, Deformation Transfer for Detail-Preserving Surface Editing, Proceedings of Vision, Modeling, and Visualization (VMV) (Aachen, Germany, November 22-24, 2006), pp. 357-364
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