An improved algorithm based on √3 subdivision for micro surface modeling

Micro surface modeling has been widely applied in micro scale systems, and the advanced modeling of micro surface is crucial to the development of micro scale systems. In this study, based on √3 subdivision schemes, an improved uniform micro subdivision algorithm is proposed for micro surface modeling. The original √3 subdivision scheme could not accommodate the sharp features on the micro surface in determining the micro local property of the surface. However, the proposed improved subdivision algorithm can overcome this difficulty without changing the topology of the subdivision surface. The proposed algorithm uses an interpolation subdivision method and obtains excellent results by preserving the dart, crease, corner, and cone. The micro subdivision surface can reach everywhere smoothly except for some infinite sharp features. The proposed algorithm can also deal with nano models, such as micro robots, nano artificial modeling, and micro 3D characters. The experimental results demonstrate the effectiveness of the proposed model.