关键词: 骨架线;扩散效应;硬约束与软约束;拉普拉斯变换

Abstract: To solve the surface deformation driven by skeleton curves for complex product shape design, the design methods by controlling the target surface deformation based on variation principle and diffusion effect are presented. The skeleton curves (e.g. ridge and valley lines) determining the surface geometric features of the product shape are extracted, the geometric shape of the skeleton curves are manipulated to deform under the given constraint conditions, and then the deformed skeleton curves are considered as the constraint conditions to control the variation trend of surface feature shape, therefore, the whole surface feature shape design is to be implemented effectively. Moreover, our methods helps to extract the original surface details represented by Laplace differential coordinate, then the surface geometric details can be essentially unchanged during the surface deformation process. The product surface deformation examples are presented to verify the effectives of our approach.

Key words: skeleton curves;diffusion effect;hard constraint and soft constraint;Laplace transformation