Prado-Velasco, M.; García-Ruesgas, L. Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG). Symmetry2023, 15, 984.
Prado-Velasco, M.; García-Ruesgas, L. Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG). Symmetry 2023, 15, 984.
Prado-Velasco, M.; García-Ruesgas, L. Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG). Symmetry2023, 15, 984.
Prado-Velasco, M.; García-Ruesgas, L. Intersection and Flattening of Surfaces in 3D Models through Computer-Extended Descriptive Geometry (CeDG). Symmetry 2023, 15, 984.
Abstract
Computer extended Descriptive Geometry (CeDG) is a new approach to solve and build computer models of three dimensional (3D) geometrical systems through descriptive geometry procedures that have demonstrated reliability and accuracy. CeDG may calculate a parametric algebraic exact form for the spatial curves generated in the intersection of two surfaces, as well as of the flattened pattern of any developable surface involved in those encounters. This study presents first the theoretical foundations and methodology to calculate those parametric algebraic curves. Secondly, a compound hopper is defined and modelled through CeDG (implemented in GeoGebra) and CAD (Solid Edge 2023) approaches to evaluate the advantages of CeDG against CAD. The results demonstrate the robustness and accuracy of the CeDG technique for surfaces intersection and flattening and the advantages of CeDG against Solid Edge 2023 in solving the hopper case study.
Computer Science and Mathematics, Computer Science
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
