关键词: 形状特征, 网格变形, 刚性约束, 柔性约束, 拉普拉斯算子, 拉格朗日乘子

Abstract: The traditional mesh deformation only approximates the form features. To overcome this shortcoming, one precise feature controlled method was proposed to preserve the form features in mesh deformation processing. Position information was firstly extracted to act as hard constraints for deformation. Based on refined discrete Laplace operator method, the soft constraints was established to mean mesh differential coefficient features. Introducing Lagrange multiplier to hard constraints, the linear equation was set up by combing with soft constraints. The optimal solution was obtained using least-squares method. The mesh was deformed preserving form features. Finally, the feasibility and effectiveness demonstrated by a practical engineering.

Key words: form feature, mesh deformation, hard constraint, soft constraint, Laplace operator, Lagrange multipiers