Pedro Morouço and Nuno Alves attended and contributed to the 5th General Assembly Meeting of the EU HydroZONES project

Pedro Morouço and Nuno Alves attended and contributed to the 5th General Assembly Meeting of the EU HydroZONES project Pedro Morouço and Nuno Alves attended and contributed to the 5th General Assembly Meeting of the EU HydroZONES project

International Conference on Direct Digital Manufacturing and Polymers | ICDDMAP 2017

International Conference on Direct Digital Manufacturing and Polymers | ICDDMAP 2017 International Conference on Direct Digital Manufacturing and Polymers | ICDDMAP 2017

ICT4AM

ICT4AM ICT4AM

Seminários 2016

Seminários 2016 Seminários 2016

GTLAB – Geometry and Topology Laboratory

GTLab – The Geometry and Topology Laboratory at CDRSP

This laboratory has a multidisciplinary team composed by mathematicians, physicists and engineers and is dedicated to the development and implementation of topological and geometrical methods. These methods are to be used in the solution of concrete problems, mainly in the context of advanced additive manufacturing, with applications in different areas such as biomedical, aerospace or car industry, among others. The core methods which are used seek for generic and abstract models that can be, on the one hand, checked, tested and validated in theoretical terms while, on the other hand, providing solutions which can be used in solving real and practical problems. Thus responding to physical needs and contributing to the well being of the local and global communities around it. In doing so, we expect to be contributing to a better understanding of how does mathematics and its abstract structures in general are related to the physical and real world.

The main inspiration for the work developed at this laboratory comes from the opus of Ian R. Porteus, called Topological Geometry [1], from 1981. In particular we are taking advantage of his work on the algebra of quaternions and we are even using the Cayley geometric algebra of octonions (with eight dimensions) to model several aspects of the processes and specifications that are expected to be used in the future trends of advanced additive manufacturing, namely functionally graded materials.

In the same way as complex numbers are now part or the daily life of any engineer, it is expected that, in a near future, also the quaternions and octonions will play such a role.

 

[1] Porteous, Ian R. (1981), Topological Geometry (2nd ed.), Cambridge University Press, p. 486, ISBN 0-521-23160-4.

 

Resources


 

This laboratory manages the access to a four-node High-Performance Computing cluster. For scheduling access to this computational resources please fill in a request on the form at following address:
http://doodle.com/cd5wh2bguppf7v58

 

GTLab Technical Reports


 

  1. N. Martins-Ferreira and M. Gaspar, Relatório final Electrofer III (com anexos), CDRSP-IPL Technical Report, E-GTLab1 (2010) 1–52.
  2. N. Martins-Ferreira and M. Belbut, Biofab Toolbox: Software tools for biofabrication – Long term report, CDRSP-IPL Technical Report, B-GTLab2 (2012) 1–53.
  3. N. Martins-Ferreira, M. Gaspar and A. Tojeira, WAXS/SAXS Cristalinity Calculator, CDRSP-IPL Technical Report, C-GTLab3 (2012) 1–3.
  4. N. Martins-Ferreira, N. Alves and M. Gaspar, Snail Training Classifier Test, CDRSP-IPL Technical Report, B-GTLab4 (2012) 1–6.
  5. N. Martins-Ferreira, P. Bártolo, N. Alves, A. Mateus and M. Gaspar, Maximizing the Placement of Congruent Polyhedra in a Parallelepiped Container (expanded, unpublished), CDRSP-IPL Technical Report, E-GTLab5 (2012) 1–12.
  6. N. Martins-Ferreira, A. Mateus e M. Gaspar, Automotive Wheels TCGC, CDRSP-IPL Technical Report, C-GTLab6 (2013) 1–21.
  7. N. Martins-Ferreira and M. Belbut, Biocaracol Snail Training Classifier, CDRSP-IPL Technical Report, B-GTLab7 (2013) 1–4.
  8. N. Martins Ferreira, N. Alves, A. Mateus and M. Gaspar, BoxPrint: 3D-Printing Software, CDRSP-IPL Technical Report, B-GTLab8 (2013) 1–44.
  9. N. Martins-Ferreira and M. Belbut, CurveInterp: a Matlab Function to Re-parametrize a Curve in the Complex Plane, CDRSP-IPL Technical Report, B-GTLab9 (2013) 1–13.
  10. N. Martins-Ferreira and J. Fatelo, GeoPath: Geodesic paths on Riemannian surfaces, CDRSP-IPL Technical Report, G-GTLab10 (2013) 1–29.
  11. N. Martins-Ferreira and M. Gaspar, Morphology Operations of Dilation and Erosion for Arbitrary Regions on the Plane, CDRSP-IPL Technical Report, B-GTLab11 (2013) 1–10.
  12. N. Martins-Ferreira, A. Mateus and M. Gaspar, High Relief Photo Fabrication NP Z-level, CDRSP-IPL Technical Report, P-GTLab12 (2013) 1–58.
  13. N. Martins-Ferreira and M. Gaspar, Picasso Snakes, CDRSP-IPL Technical Report, P-GTLab13 (2013) 1–5.
  14. N. Martins-Ferreira and M. Gaspar, CAMOS – Computer Aided Manufacturing of Scaffolds, CDRSP-IPL Technical Report, B-GTLab14 (2013) 1–4.
  15. N. Martins-Ferreira, A. Mateus and M. Gaspar, Some Theoretical Aspects of the Slicing Algorithm, CDRSP-IPL Technical Report, B-GTLab15 (2013) 1–11.
  16. N. Martins-Ferreira, A. Mateus and M. Gaspar, Computer Tomography CT2STL, CDRSP-IPL Technical Report, B-GTLab16 (2013) 1–12.
  17. N. Martins Ferreira, N. Alves and M. Gaspar, Turbo Agile Cad System, CDRSP-IPL Technical Report, A-GTLab17 (2013) 1–3.
  18. N. Martins-Ferreira, N. Alves, A. Mateus and M. Gaspar, BIOMAS II, CDRSP-IPL Technical Report, B-GTLab18 (2014) 1–32.
  19. N. Martins-Ferreira and M. Belbut, The GTLab Tools: Costureiro Functionality, CDRSP-IPL Technical Report, B-GTLab19 (2014) 1–22.
  20. N. Martins-Ferreira, A. Mateus and M. Gaspar, Costureiro Case Studies, CDRSP-IPL Technical Report, B-GTLab20 (2014) 1–19.
  21. N. Martins-Ferreira and M. Belbut, Biofab Toolbox: Software tools for biofabrication – Long term report (extended, unpublished), CDRSP-IPL Technical Report, B-GTLab21 (2014) 1–55.
  22. N. Martins-Ferreira and M. Belbut, On Curves and Permutations I, CDRSP-IPL Technical Report, B-GTLab22 (2014) 1–20.
  23. N. Martins-Ferreira and M. Belbut, On the GTLab Curvesection Functionality, CDRSP-IPL Technical Report, B-GTLab23 (2014) 1–12.
  24. N. Martins-Ferreira, P. Morouço and M. Gaspar, Data Swimming Stroke Analysis, CDRSP-IPL Technical Report, S-GTLab24 (2014) 1–21.
  25. N. Martins-Ferreira, N. Alves and M. Gaspar, Fructus2STL, CDRSP-IPL Technical Report, F-GTLab25 (2014) 1–17.
  26. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces, CDRSP-IPL Technical Report, V-GTLab26 (2014) 1–11.
  27. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix A, CDRSP-IPL Technical Report, V-GTLab27 (2014) 1–10.
  28. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix B, CDRSP-IPL Technical Report, V-GTLab28 (2014) 1–10.
  29. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix C, CDRSP-IPL Technical Report, V-GTLab29 (2014) 1–10.
  30. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix D, CDRSP-IPL Technical Report, V-GTLab30 (2014) 1–10.
  31. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix E, CDRSP-IPL Technical Report, V-GTLab31 (2014) 1–10.
  32. N. Martins-Ferreira, A. Mateus and M. Gaspar, Voxelized Schwartz Surfaces – Appendix F, CDRSP-IPL Technical Report, V-GTLab32 (2014) 1–10.
  33. N. Martins-Ferreira, N. Alves, M. Gaspar, S. Biscaia and T. Viana, Hydrozones Software Specifications and Procedures, CDRSP-IPL Technical Report, H-GTLab33 (2014) 1–19.
  34. N. Martins-Ferreira, A. Mateus, J. Fatelo and M. Gaspar, Toolpath trajectories in Riemannian surfaces via geodesics, CDRSP-IPL Technical Report, I-GTLab34 (2014) 1–19.
  35. N. Martins-Ferreira and M. Gaspar, On the Iso-surface Slicing Functionality, CDRSP-IPL Technical Report, B-GTLab35 (2014) 1–23.
  36. Nelson Martins Ferreira, Miguel Belbut Gaspar, Isoslice II: Separating the Topological and Geometrical Parts, CDRSP-IPL Technical Report, B-GTLab36 (2014) 1–22.
  37. N. Martins-Ferreira and M. Gaspar, An Integration of Matlab and Excel, CDRSP-IPL Technical Report, E-GTLab37 (2014) 1–20.
  38. N. Martins-Ferreira, A. Mateus, M. Gaspar and C. Malça, Topological Porosity Objects from STL Files, CDRSP-IPL Technical Report, T-GTLab38 (2014) 1–23.
  39. N. Martins-Ferreira, A. Mateus and M. Gaspar, World Atlas with Population Density, CDRSP-IPL Technical Report, T-GTLab39 (2014) 1–23.
  40. N. Martins-Ferreira, M. Gaspar, C. Santos and P. Carreira, ToolingEdge: Toolpath Generation on Cylindrical Coordinates, CDRSP-IPL Technical Report, T-GTLab40 (2015) 1–11.
  41. N. Martins-Ferreira and M. Gaspar, Isoslice III: the Case of Cylindrical Coordinates, CDRSP-IPL Technical Report, B-GTLab41 (2015) 1–19.
  42. N. Martins Ferreira and M. Gaspar, Segment interpolation in polar coordinates, CDRSP-IPL Technical Report, T-GTLab42 (2015) 1–9.