由于传统曲面造型方法缺乏直观调控及难于交互的局限性，强调了基于力学平衡和力密度方法的物理造型策略，通过建立外载荷变化和节点位移等物理意义的最小化线性方程从而实现B样条曲面的自适应性变形调整。系统地给出了基于各种几何约束下通用的几何求解方法，并进一步提出了交互式目标曲线与区域曲线自由绘制的曲面整体和局部变形技术。实验结果验证了此方法的高效性。

Aiming at improving the limitation of adjustment and interaction by using the traditional geometric modeling methods, this paper addressed the physically-based method and FDM（force density method) for surface modeling. By building the linear constrained functions of minimal external forces and the changes of free nodes, our system thus adaptively drove B-spline surface deformation. We proposed the genetic solution to kinds of geometric constraints. Moreover, we put forward the intuitive approach to local and global deformation by interactively sketching targets and limiting curves. A series of experiments finally proved the efficiency of this method.