Geometric operations for visual reasoning of a solid from orthographic projections |
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| Affiliation: | 1. Instituto de Energías Renovables, Universidad Nacional Autónoma de México, Privada Xochicalco S/N, Col. Centro, Temixco, 62580 Morelos, Mexico;2. Departamento de Ingeniería de Procesos e Hidráulica, Universidad Autónoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco No. 186, 09340 México D.F., Mexico;1. Dept. Molecular Medicine and Medical Biotechnologies, University of Naples Federico II, Naples, Italy;2. Dept. Experimental Medicine, University of Campania Luigi Vanvitelli, Naples, Italy;3. Dept. of Public Health and Infectious Diseases, Sapienza University of Rome, Rome, Italy;4. Dept. Molecular Medicine, Sapienza University of Rome, Rome, Italy;5. Dept. of Public Health and Infectious Diseases, Sapienza University of Rome, Infectious Disease Unit, SM Goretti Hospital, Latina, Italy;6. Infectious Disease Unit, SM Goretti Hospital, Latina, Italy |
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| Abstract: | The ability of an engineer to visualize and reason about geometric aspects of physical objects and processes is crucial to the success of engineering activities. The article describes the development of geometric operations for a visual reasoning instructional software system using so-called missing view problem. The missing view problem requires construction of a valid solid given two orthographic projections. Sweeping operations, which are the reverse procedure of orthographic projection, are used to solve missing view problems by forming the boundary faces of a solid from the loops of orthographic views. Specifically, this geometric operation which forms a primary user interface of the system is described in detail in the article. |
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