2025-01-222025-01-222023-02-14Prado-Velasco, M. y García Ruesgas, L. (2023). Intersection Between Surfaces Using Computer Extended Descriptive Geometry (CeDG): Application to the Focal Illumination of a Sphere. En Advances in Design Engineering III. INGEGRAF 2022 (711-728), Málaga: Springer Nature.978-303120324-42195-4356https://hdl.handle.net/11441/167260Computer Extended Descriptive Geometry (CeDG) is a new approach to computer modelling of 3D geometric systems that tries to overcome several limitations of current CAD systems. A preliminary version of CeDG for GeoGebra has demonstrated advantages in sheet metal and mechanisms field. This paper develops the theoretical basis of the Locus-based Surfaces’ Intersection Method (LSIM) of CeDG and compares it against the standard Descriptive Geometry technique, through the calculation of the illumination of a sphere by a focal light beam. Results showed that, in opposition to standard Descriptive Geometry technique, the LSIM CeDG model combines less complexity (geometric procedure requires only one iteration) with the capability to be extended to other parameters’ values and projections, keeping the compliance with geometrical requirements. Accuracy metrics have demonstrated that LSIM can generate the exact (true) surface intersection curve through its projections, thanks to the geometric integrity of the underlying dynamic geometry software (GeoGebra).application/pdf18engDescriptive geometryCADComputer parametric graphic modellingDynamic geometry softwareCeDGinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess10.1007/978-3-031-20325-1_55