A Direct Approach for Loop Subdivision Surface Offset Approximation

A novel and direct approach for Loop subdivision surface offset approximation is proposed. Instead of solving a linear equation system previously, the main idea is to convert the Loop subdivision surface offset approximation into updating the vertices of original triangular mesh iteratively by using progressive interpolation (PI) method. Generated smooth subdivision surfaces interpolate the original mesh control points and preserve the sharp features. Then triangular mesh offset method can be utilized to obtain Loop subdivision surface offset approximation. The proposed method has the advantages of both local and global methods. The meshes considered here can be either closed or open. Some typical examples are illustrated to demonstrate the efficiency of the proposed approach in the end.

NC Machining Simulation of Loop Subdivision Surface Algorithm with Sharp Feature Keeping

Subdivision technology provides a convenient way to represent smooth surfaces of arbitrary topological structures. The technology is now widely applied in character animation and computer graphics. However, it meets challenges if to be employed in machining. This paper focuses on the problems of surface subdivision in machining applications and the solutions for these problems. The work includes two parts. First, an algorithm of Loop subdivision that can keep sharp surface features is presented. And second, a cross-section method is employed to obtain the NC tool path of the divided surface. The NC tool path of the refined model is verified with the MasterCAM software. The research is valuable for the improvement of the subdivision scheme commonly used in CAD/CAM system.