Have a personal or library account? Click to login
An Innovative Method of Representing the Double Orthogonal Projection of a Line Cover

An Innovative Method of Representing the Double Orthogonal Projection of a Line

Open Access
|Sep 2025

References

  1. Akbulut M.T., Daggulu İ.B., An approach to teach the descriptive geometry course with digital tools in architectural education, In INTED2017 Proceedings, IATED, pp. 6800-6808 (2017).
  2. Arustamov A.E., Problems in Descriptive Geometry, Mir Publishers, Moscow, 1972, ISBN: 978-5030019501.
  3. Borgo R., Kehrer J., Chung D.H., Maguire E., Laramee R.S., Hauser H., Chen M., Glyph-based visualization: Foundations, design guidelines, techniques and applications, Eurographics (State of the Art Reports), May 2013, pp. 39-63.
  4. Creality, How to use a 3D printer, 2024, https://www.creality.com/blog/how-to-use-a-3d-printer.
  5. Daminabo S.C., Goel S., Grammatikos S.A., Nezhad H.Y., Thakur V.K., Fused deposition modeling-based additive manufacturing (3D printing): techniques for polymer material systems, Materials Today Chemistry, 16, 100248 (2020).
  6. Ermolai V., Rîpanu M.I., Merticaru Jr.V., Irimia A.I., Mihalache M.A., Sover A., Mititelu N.R., Pișta I.M., XYZ calibration cube-A misleading tool for achieving print accuracy, Materials Research Proceedings, 46, pp. 23-34 (2024).
  7. Gentry J., Visualization of orthographic projections, Sacramento City College, 2019, https://workforce.libretexts.org/Courses/Sacramento_City_College/Blueprint_Reading_and_Technical_Sketching_(Gentry)/06%3A_Orthographic_Projection/6.01%3A_Visualization_of_Orthographics_Projections.
  8. Gibson I., Rosen D.W., Stucker B., Additive Manufacturing Technologies: 3D Printing, Rapid Prototyping, and Direct Digital Manufacturing (2nd ed.), Springer, New York, 2015, ISBN: 978-1-4939-2112-6.
  9. Goh G.D., Yap Y.L., Tan H.K.J., Sing S.L., Goh G.L., Yeong W.Y., Process– structure–properties in polymer additive manufacturing via material extrusion: A review, Critical Reviews in Solid State and Materials Sciences, 45(2), 113-133 (2019), https://doi.org/10.1080/10408436.2018.1549977.
  10. Gutiérrez de Ravé E., Jiménez-Hornero F.J., A 3D descriptive geometry problem-solving methodology using CAD and orthographic projection, Symmetry, 16(4), 476 (2024).
  11. Herman I., The use of projective geometry in computer graphics, Springer-Verlag, Berlin Heidelberg, 1992, ISBN: 978-3-540-55075-4.
  12. Irimia A.I., Ermolai V., Nagîț G., Mihalache M.A., Rîpanu M.I., Stavarache R.C., Addressing surface quality via seam alignment parametrization, Materials Research Proceedings, 46 (2024).
  13. Ko K., Sakkalis T., Orthogonal projection of points in CAD/CAM applications: an overview, Journal of Computational Design and Engineering, 1(2), 116-127 (2014).
  14. Kreutzinger M., Modification of Creality FDM printers for improved quality and non-planar printing methods, Lapland University of Applied Sciences, 2023, https://www.theseus.fi/handle/10024/800031.
  15. Kukulin V.I., Pomerantsev V.N., The orthogonal projection method in scattering theory, Annals of Physics, 111(2), 330-363 (1978a), https://doi.org/10.1016/0003-4916(78)90069-6.
  16. Kukulin V.I., Pomerantsev V.N., The orthogonal projection method in scattering theory, Annals of Physics, 111(2), 330-363 (1978b).
  17. Lawrence S., History of descriptive geometry in England, In Proceedings of the First International Congress on Construction History, Madrid, 20th–24th January, 2003, pp. 1269-1281.
  18. Méxas J.G.F., Guedes K.B., Tavares R.D.S., Stereo orthogonal axonometric perspective for the teaching of descriptive geometry, Interactive Technology and Smart Education, 12(3), 222-240 (2015).
  19. Mutny M., Kirschner J., Krause A., Experimental design for optimization of orthogonal projection pursuit models, Proceedings of the AAAI Conference on Artificial Intelligence, 34(06), 10235-10242 (2020), https://doi.org/10.1609/aaai.v34i06.6585.
  20. Nechita M., The importance of study geometry descriptive methods in learning graphics disciplines, Journal of Industrial Design and Engineering Graphics, 16(2), 35-38 (2021).
  21. Sharipov E.O., Radjabov M.R., Rustamov M., Murodullaev J., Role of process of interdisciplinary integration in courses to students of technical higher education institutions, E3S Web of Conferences, Vol. 401, p. 04035 (2023), EDP Sciences.
  22. Smith J., Brown A., Effects of 3D-printing processing parameters on FFF parts’ porosity, Materials and Manufacturing Processes, 39(5), 678-689 (2024), https://doi.org/10.1080/10426914.2024.2304843.
  23. Teixeira F.G., Silva R.P., Silva T.L., Hoffmann A.T., The descriptive geometry education through the design-based learning, In ICGG2006–12th International Conference on Geometry and Graphics. Proceedings, Salvador, 2006.
  24. Turner B.N., Gold S.A., A review on 3D printing with fused deposition modeling (FDM), Rapid Prototyping Journal, 21(3), 250-261 (2015), https://doi.org/10.1108/RPJ-01-2013-0017.
  25. Weyl H., The method of orthogonal projection in potential theory, Duke Mathematical Journal, 7(1), 411-444 (1940), https://doi.org/10.1215/S0012-7094-40-00725-6.
  26. Zamboj M., Double orthogonal projection of four-dimensional objects onto two perpendicular three-dimensional spaces, Nexus Netw J, 20, 267-281 (2018), https://doi.org/10.1007/s00004-017-0368-2.
  27. Zamboj M., Synthetic construction of the Hopf fibration in a double orthogonal projection of 4-space, Journal of Computational Design and Engineering, 8(3), 836-854 (2021).
DOI: https://doi.org/10.2478/bipcm-2025-0022 | Journal eISSN: 2537-4869 | Journal ISSN: 1011-2855
Language: English
Page range: 19 - 28
Submitted on: Jun 26, 2025
Accepted on: Jul 3, 2025
Published on: Sep 15, 2025
Published by: Gheorghe Asachi Technical University of Iasi
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Alexandru-Ionuţ Irimia, Cristiana Grigoruţă, Gheorghe Nagîţ, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.