Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD
The Computer extended Descriptive Geometry (CeDG) is as a novel approach based on Descriptive Geometry to build 3D models within the framework provided by Dynamic Geometry Software tools. Parametric CeDG models can be interactively explored when continuous parameters change, but this is not the case...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Graphical Models |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1524070324000419 |
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| _version_ | 1841556919913807872 |
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| author | Manuel Prado-Velasco Laura García-Ruesgas |
| author_facet | Manuel Prado-Velasco Laura García-Ruesgas |
| author_sort | Manuel Prado-Velasco |
| collection | DOAJ |
| description | The Computer extended Descriptive Geometry (CeDG) is as a novel approach based on Descriptive Geometry to build 3D models within the framework provided by Dynamic Geometry Software tools. Parametric CeDG models can be interactively explored when continuous parameters change, but this is not the case for discrete parameters. This study demonstrates the capability of the GeoGebra - CeDG approach to incorporate algorithms that build discrete variable 3D models with dynamic parameterization. Several 3D models and their flattened patterns (neutral fiber), based on a new developed CeDG algorithm, were compared to their LogiTRACE v.14 and Solid Edge 2024 (CAD) counterparts. The accuracy of the CeDG models surpassed that of CAD models for nearly all dimensions defined as metrics. In addition, the CeDG approach was the unique that provided an automatic solution for any value of the number of ferrules. |
| format | Article |
| id | doaj-art-27157ea273b642febde0f0b0d63f101b |
| institution | Kabale University |
| issn | 1524-0703 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Graphical Models |
| spelling | doaj-art-27157ea273b642febde0f0b0d63f101b2025-01-07T04:17:13ZengElsevierGraphical Models1524-07032025-02-01137101253Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CADManuel Prado-Velasco0Laura García-Ruesgas1Corresponding author at: Department of Engineering Graphics, Engineering Faculty, University of Seville, ETSI, camino de los descubrimientos s/n, Seville, 41020, Spain.; Department of Engineering Graphics, Engineering Faculty, University of Seville, ETSI, camino de los descubrimientos s/n, Seville, 41020, Spain; Multilevel Modelling and Emerging Technologies in Bioengineering, University of Seville, SpainDepartment of Engineering Graphics, Engineering Faculty, University of Seville, ETSI, camino de los descubrimientos s/n, Seville, 41020, Spain; Multilevel Modelling and Emerging Technologies in Bioengineering, University of Seville, SpainThe Computer extended Descriptive Geometry (CeDG) is as a novel approach based on Descriptive Geometry to build 3D models within the framework provided by Dynamic Geometry Software tools. Parametric CeDG models can be interactively explored when continuous parameters change, but this is not the case for discrete parameters. This study demonstrates the capability of the GeoGebra - CeDG approach to incorporate algorithms that build discrete variable 3D models with dynamic parameterization. Several 3D models and their flattened patterns (neutral fiber), based on a new developed CeDG algorithm, were compared to their LogiTRACE v.14 and Solid Edge 2024 (CAD) counterparts. The accuracy of the CeDG models surpassed that of CAD models for nearly all dimensions defined as metrics. In addition, the CeDG approach was the unique that provided an automatic solution for any value of the number of ferrules.http://www.sciencedirect.com/science/article/pii/S1524070324000419Computer extended Descriptive GeometryComputer aided design3D discrete modelingSheet metalPolygonal elbowsDynamic geometry software |
| spellingShingle | Manuel Prado-Velasco Laura García-Ruesgas Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD Graphical Models Computer extended Descriptive Geometry Computer aided design 3D discrete modeling Sheet metal Polygonal elbows Dynamic geometry software |
| title | Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD |
| title_full | Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD |
| title_fullStr | Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD |
| title_full_unstemmed | Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD |
| title_short | Discrete variable 3D models in Computer extended Descriptive Geometry (CeDG): Building of polygonal sheet-metal elbows and comparison against CAD |
| title_sort | discrete variable 3d models in computer extended descriptive geometry cedg building of polygonal sheet metal elbows and comparison against cad |
| topic | Computer extended Descriptive Geometry Computer aided design 3D discrete modeling Sheet metal Polygonal elbows Dynamic geometry software |
| url | http://www.sciencedirect.com/science/article/pii/S1524070324000419 |
| work_keys_str_mv | AT manuelpradovelasco discretevariable3dmodelsincomputerextendeddescriptivegeometrycedgbuildingofpolygonalsheetmetalelbowsandcomparisonagainstcad AT lauragarciaruesgas discretevariable3dmodelsincomputerextendeddescriptivegeometrycedgbuildingofpolygonalsheetmetalelbowsandcomparisonagainstcad |