Layer-Based Surface Editing

By decomposing a surface into a sequence of levels with different frequency bands, users can manipulate and modify specified levels without affecting others. This idea has been extensively explored with various multi-resolution techniques [KVS99, GSS99]. However, encoding details as local frame displacements, as widely done in multi-resolution techniques, causes two major problems. First, the individually recorded local frame displacements may cause the reconstruction from a base surface that has been performed a large-scale deformation unstable. Inserting intermediate levels only alleviates this problem. Second, since local frame displacements are recorded under a given surface scale, they do not adapt to arbitrary surface scaling. Recent differential domain methods [YZX∗04, SLCO∗04] achieve detailpreserving editing results by optimizing properly-adjusted differential properties. The least-squares minimization reconstruction scheme distributes errors across the whole domain and favors appealing results. However, incorporating differential properties into a hierarchical structure has not been explored.