Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG)

Computer-extended Descriptive Geometry (CeDG) is a new approach to solving and building computer models of three-dimensional (3D) geometrical systems through descriptive geometry procedures (thus inheriting invariant-symmetry properties from projective geometry) that have demonstrated reliability accuracy. CeDG may calculate parametric implicit functional form for the spatial curves generated in intersection two surfaces, as well flattened pattern any developable surface involved those encounters. This study first presents theoretical foundations methodology curves. Secondly, compound hopper defined modeled (implemented GeoGebra) CAD (Solid Edge© 2023) approaches evaluate advantages against CAD. The results demonstrate robustness accuracy technique he flattening surfaces Solid Edge 2023 case study.