Higher Order Continuity for Smooth As-Rigid-As-Possible Shape Modeling
For interactive shape modeling applications, this work addresses a practical limitation of ARAP deformations by ensuring smooth deformations without requiring explicit rotation specifications.
The paper proposes a modification to the As-Rigid-As-Possible (ARAP) mesh deformation energy to achieve higher order smoothness, eliminating spikes and lack of continuity at manipulation handles even with single-point constraints. The method maintains real-time performance and ease of implementation.
We propose a modification of the As-Rigid-As-Possible (ARAP) mesh deformation energy with higher order smoothness, which overcomes a prominent limitation of the original ARAP formulation: spikes and lack of continuity at the manipulation handles. Our method avoids spikes even when using single-point positional constraints. Since no explicit rotations have to be specified, the user interaction can be realized through a simple click-and-drag interface, where points on the mesh can be selected and moved around while the rest of the mesh surface automatically deforms accordingly. Our method preserves the benefits of ARAP deformations: it is easy to implement and thus useful for practical applications, while its efficiency makes it usable in real-time, interactive scenarios on detailed models.