Research and Application of the Interpolatory Volumetric Subdivision Scheme over Hexahedral Lattice

Volumetric subdivision modeling and its application is currently one of the active research topics in the domain of computer graphics and animation A new interpolatory volumetric subdivision scheme over the regular hexahedral lattice is proposed and its convergence is proved using the multivariate generating function associated with the volumetric subdivision The volumetric mass spring is also introduced based on the regular hexahedral lattice, and controlled by the discrete Lagrangian equation to realize dynamic deformation of the subdivision volume Meanwhile, this scheme is applied to the functional garment CAD to dynamically calculate the elastic human body’s deformation under constraint of tight cloth and hierarchically visualize the human body after volumetric subdivision