Smooth Rotation Enhanced As-Rigid-As-Possible Mesh Animation

Area of Science:

• Computer Graphics
• Geometric Modeling
• Animation

Background:

• As-Rigid-As-Possible (ARAP) methods are popular for shape deformation and interpolation.
• Existing ARAP techniques have limitations in surface discretization and interpolation quality.

Purpose of the Study:

• To improve As-Rigid-As-Possible (ARAP) animation techniques.
• To introduce a novel ARAP-type energy for consistent surface deformation.
• To develop a superior ARAP shape interpolation method.

Main Methods:

• Introduced a new ARAP-type energy, Surface-to-Reversible As-Rigid-As-Possible (SR-ARAP), with consistent discretization for triangle meshes.
• Developed a new ARAP shape interpolation method compatible with both SR-ARAP and volumetric ARAP energies.

Main Results:

• The SR-ARAP surface deformation scheme achieves quality comparable to volumetric ARAP deformation.
• The proposed ARAP shape interpolation method outperforms existing techniques.

Conclusions:

• The SR-ARAP energy offers a robust and high-quality surface deformation solution.
• The new shape interpolation method enhances ARAP-based animation capabilities.