Subdivision-based Digital Geometry Processing As A Fundamental Building Block Of Digital Manufacturing

摘要

Digital manufacturing relies on geometric modelling techniques, virtual environments, and a solid common platform that can support multiple disciplines and applications. Subdivision methods offer powerful computational representations and algorithms for digital geometry processing (DGP) and can create a common model and unified representation for geometric design, numerical analysis, and numerical control (NC) machining. Subdivision-based digital geometry processing can be a fundamental building block of digital manufacturing. In this paper, models for geometric design, finite/boundary element analysis (FEA/BEA), and NC machining are created using subdivision surfaces. Automatic mesh generation for the FEA of sheet metal structures and for the BEA of general three-dimensional structures is fulfilled through subdivision-based digital geometry processing. Models with progressive refinement for progressive transmission are created. Subdivision-based digital geometry processing for NC machining is discussed.