Papers by Keyword: Combined Subdivision

Abstract: A simple and effective combined subdivision surface’s modification method is proposed, which is realized by editing its curve network locally. After discussing the overlapping principles of Catmull-Clark subdivision and combined subdivision, a quick update method of the modified surface is given by building the difference curve network from the original curve network and the edited curve network and overlapping the mesh from the difference curve network to the mesh from the original curve network. This method is closely related with the features of combined subdivision, so it is simple and high efficiency. It is useful in the concept design of complex product.

Abstract: Compound curve network is built to defined asymmetric sharp features in combined subdivision surface. The basic idea is to make the construction of sharp features separate from the definition of global surface and build compound curve networks consisting of base curve network and feature curve network. The curve’s subdivision rules and correct operator applying on common vertexes directly connected with curve vertexes are redefined to generate asymmetric sharp feature, and subdivision times is selected as sharp feature factor to control the sharp degree of features. When different sharp feature factors are defined at the two sides of interpolated curves, asymmetric features are generated on them. Curves of base curve network and curves of feature curve network take part in the subdivision of the interpolated surface in turn. Examples show that our method is effective and can get high quality interpolated surface.

Abstract: An optimization method based on genetic algorithm and energy method is presented to construct a fairing curve network from unconnected sectional curves. The curve’s quality is evaluated by its energy. The parameters of the intersecting points on existing curves are adopted as variable and genetic algorithm is used to optimize the energy of curve based on multi-parent crossover operator. The examples show that the interpolated surface of optimized curve network has good quality than other methods, which proves our method actually improves curve networks’ quality.