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Algorithms for Jewelry Industry 4.0

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Numerical Computations: Theory and Algorithms (NUMTA 2019)

Abstract

The industrial and technological revolution and the use of innovative software allowed to build a virtual world from which we can control the physical one. In particular, this development provided relevant benefits in the field of jewelry manufacturing industry using parametric modeling systems. This paper proposes a parametric design method to improve smart manufacturing in 4.0 jewelry industry. By using constrained collection of schemata, the so called Direct Acyclic Graphs (DAGs) and additive manufacturing technologies, we created a process by which customers are able to modify 3D virtual models and to visualize them, according to their preferences. In fact, by using the software packages Mathematica and Grasshopper, we exploited both the huge quantity of mathematical patterns (such as curves and knots), and the parametric space of these structures. A generic DAG, grouped into a unit called User Object, is a design tools shifting the focus from final shape to digital process. For this reason, it is capable to returns a huge number of unique combinations of the starting configurations, according to the customers preferences. The configurations chosen by the designer or by the customers, are 3D printed in wax-based resins and, later, ready to be merged, according to artisan jewelry handcraft. Two cases studio are proposed to show empirical evidences of the designed process to transform abstract mathematical equations into real physical forms.

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References

  1. Aish, R., Woodbury, R.: Multi-level interaction in parametric design. In: Butz, A., Fisher, B., Krüger, A., Olivier, P. (eds.) SG 2005. LNCS, vol. 3638, pp. 151–162. Springer, Heidelberg (2005). https://doi.org/10.1007/11536482_13

    Chapter  Google Scholar 

  2. Kielarova, S.W., et al.: An approach of generative design system: jewelry design application. In: 2013 IEEE International Conference on Industrial Engineering and Engineering Management, Piscataway, New Jersey, USA, pp. 1329–1333 (2013)

    Google Scholar 

  3. Harding, J.E., Shepherd, P.: Meta-parametric design. Des. Stud. 52, 73–95 (2017)

    Article  Google Scholar 

  4. Oxman, R.: Theory and design in the first digital age. Des. Stud. 27, 229–265 (2006)

    Article  Google Scholar 

  5. Oxman, R.: Thinking difference: theories and models of parametric design thinking. Des. Stud. 52, 4–39 (2017)

    Article  Google Scholar 

  6. Woodbury, R.G., Peters, B., Sheikholesami, M.: Element of Parametric Design, 1st edn. Taylor & Francis, Abingdon (2010)

    Google Scholar 

  7. Oxman, R.: Parametric design thinking. Des. Stud. 52, 1–3 (2017)

    Article  Google Scholar 

  8. Singh, V., Gu, N.: Towards an integrated generative design framework. Des. Stud. 33(2), 185–207 (2012)

    Article  Google Scholar 

  9. Bentley, P., Kumar, S.: Three ways to grow designs: a comparison of embryogenies for an evolutionary design problem. In: Proceedings of the 1st Annual Conference on Genetic and Evolutionary Computation, pp. 35–43. Morgan Kaufmann Publishers (1999)

    Google Scholar 

  10. Bilotta, E., Pantano, P., Stranges, F.: Computer graphics meets chaos and hyperchaos: some key problems. Comput. Graph. 30(3), 359–367 (2006)

    Article  Google Scholar 

  11. Gabriele, L., Tavernise, A., Bertacchini, F.: Active learning in a robotics laboratory with university students. In: Increasing Student Engagement and Retention Using Immersive Interfaces: Virtual Worlds, Gaming, and Simulation, pp. 315–339. Emerald Group Publishing Limited (2012)

    Google Scholar 

  12. Adamo, A., Bertacchini, P.A., Bilotta, E., Pantano, P., Tavernise, A.: Connecting art and science for education: learning through an advanced virtual theater with “talking heads". Leonardo 43(5), 442–448 (2010)

    Article  Google Scholar 

  13. Bertacchini, F., Bilotta, E., Pantano, P.: Shopping with a robotic companion. Comput. Hum. Behav. 77, 382–395 (2017)

    Article  Google Scholar 

  14. Bertacchini, F., Bilotta, E., Caldarola, F., Pantano, P., Bustamante, L.R.: Emergence of linguistic-like structures in one-dimensional cellular automata. In: AIP Conference Proceedings, vol. 1776, p. 090044. AIP Publishing (2016)

    Google Scholar 

  15. Bertacchini, F., Bilotta, E., Carini, M., Gabriele, L., Pantano, P., Tavernise, A.: Learning in the smart city: a virtual and augmented museum devoted to Chaos theory. In: Chiu, D.K.W., Wang, M., Popescu, E., Li, Q., Lau, R. (eds.) ICWL 2012. LNCS, vol. 7697, pp. 261–270. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-662-43454-3_27

    Chapter  Google Scholar 

  16. Bertacchini, F., Tavernise, A.: Knowledge sharing for cultural heritage 2.0: prosumers in a digital agora. Int. J. Virtual Communities Soc. Network. (IJVCSN) 6(2), 24–36 (2014)

    Article  Google Scholar 

  17. Bertacchini, F., Bilotta, E., Gabriele, L., Pantano, P., Tavernise, A.: Toward the use of Chua’s circuit in education, art and interdisciplinary research: some implementation and opportunities. Leonardo 46(5), 456–463 (2013)

    Article  Google Scholar 

  18. Bilotta, E., Bossio, E., Pantano, P.: Chaos at School: Chua’s circuit for students in junior and senior High School. Int. J. Bifurcat. Chaos 20(1), 1–28 (2010)

    Article  Google Scholar 

  19. Bilotta, E., et al.: ImaginationTOOLS (TM)-A 3D environment for learning and playing music. In: Eurographics Italian Chapter Conference Proceedings, pp. 139–144, (2007)

    Google Scholar 

  20. Bilotta, E., Di Blasi, G., Stranges, F., Pantano, P.: A gallery of Chua attractors part VI. Int. J. Bifurcat. Chaos 17(6), 1801–1910 (2007)

    Article  Google Scholar 

  21. Bilotta, E., Stranges, F., Pantano, P.: A gallery of Chua attractors: part III. Int. J. Bifurcat. Chaos 17(3), 657–734 (2007)

    Article  Google Scholar 

  22. Bilotta, E., Di Blasi, G., Stranges, F., Pantano, P.: A gallery of Chua attractors: part IV. Int. J. Bifurcat. Chaos 17(4), 1017–1077 (2007)

    Article  Google Scholar 

  23. Bilotta, E., Pantano, P., Vena, S.: Artificial micro-worlds part I: a new approach for studying life-like phenomena. Int. J. Bifurcat. Chaos 21(2), 373–398 (2011)

    Article  MathSciNet  Google Scholar 

  24. Bilotta, E., Pantano, P.: Artificial micro-worlds part II: cellular automata growth dynamics. Int. J. Bifurcat. Chaos 21(3), 619–645 (2011)

    Article  MathSciNet  Google Scholar 

  25. Lombardo, M.C., Barresi, R., Bilotta, E., Gargano, F., Pantano, P., Sammartino, M.: Demyelination patterns in a mathematical model of multiple sclerosis. J. Math. Biol. 75(2), 373–417 (2017)

    Article  MathSciNet  Google Scholar 

  26. Abdechiri, M., Faez, K., Amindavar, H., Bilotta, E.: The chaotic dynamics of high-dimensional systems. Nonlinear Dyn. 87(4), 2597–2610 (2017)

    Article  MathSciNet  Google Scholar 

  27. Bertacchini, F., et al.: An emotional learning environment for subjects with Autism Spectrum Disorder. In: 2013 International Conference on Interactive Collaborative Learning (ICL), pp. 653–659. IEEE, September 2013

    Google Scholar 

  28. Vaca-Cárdenas, L.A., et al.: Coding with Scratch: the design of an educational setting for Elementary pre-service teachers. In: 2015 International Conference on Interactive Collaborative Learning (ICL), pp. 1171–1177. IEEE, September 2015

    Google Scholar 

  29. Bertacchini, F., Bilotta, E., Gabriele, L., Pantano, P., Servidio, R.: Using Lego MindStorms in higher education: cognitive strategies in programming a quadruped robot. In: Workshop Proceedings of the 18th International Conference on Computers in Education, ICCE, pp. 366–371 (2010)

    Google Scholar 

  30. Sansri, S., Kielarova, S.W.: Multi-objective shape optimization in generative design: art deco double clip brooch jewelry design. In: Kim, K.J., Kim, H., Baek, N. (eds.) ICITS 2017. LNEE, vol. 449, pp. 248–255. Springer, Singapore (2018). https://doi.org/10.1007/978-981-10-6451-7_30

    Chapter  Google Scholar 

  31. Aish, R., Hanna, S.: Comparative evaluation of parametric design systems for teaching design computation. Des. Stud. 52, 144–172 (2017)

    Article  Google Scholar 

  32. Hudson, R., Shepherd, P., Hines, D.: Aviva Stadium: a case study in integrated parametric design. Int. J. Architect. Comput. 9(2), 187–203 (2011)

    Article  Google Scholar 

  33. Oxman, R., Gu, N.: Theories and models of parametric design thinking. In: Proceedings of the 33rd eCAADe Conference, pp. 477–482 (2015)

    Google Scholar 

  34. Ashton, K., et al.: That ‘internet of things’ thing. RFID J. 22(7), 97–114 (2009)

    Google Scholar 

  35. Sundmaeker, H., et al.: Vision and challenges for realising the Internet of Things. In: Cluster of European Research Projects on the Internet of Things, vol. 3, no. 3, pp. 34–36. European Commission (2010)

    Google Scholar 

  36. Prats, M., et al.: Transforming shape in design: observations from studies of sketching. Des. Stud. 20(5), 503–520 (2009)

    Article  Google Scholar 

  37. Derix, C.: Mediating spatial phenomena through computational heuristics. In: Proceedings of the 30th Annual Conference of the Association for Computer Aided Design in Architecture, pp. 61–66 (2010)

    Google Scholar 

  38. Gero, J.S., Kumar, B.: Expanding design spaces through new design variables. Des. Stud. 14(2), 210–221 (1993)

    Article  Google Scholar 

  39. Harding, J., Joyce, S., Shepherd, P., Williams, C.: Thinking Topologically at Early Stage Parametric Design. na. (2012)

    Google Scholar 

  40. French, M.J., Gravdahl, J.T., French, M.J.: Conceptual Design for Engineers. Springer, Heidelberg (1985). https://doi.org/10.1007/978-3-662-11364-6

    Book  Google Scholar 

  41. Cho, S.B.: Towards creative evolutionary systems with interactive genetic algorithm. Appl. Intell. 16(2), 129–138 (2002)

    Article  Google Scholar 

  42. Gibson, I., Rosen, D.W., Stucker, B.: Additive Manufacturing Technologies, 2nd edn. Springer, New York (2014). https://doi.org/10.1007/978-1-4939-2113-3

    Book  Google Scholar 

  43. Kruth, J.P., Leu, M.C., Nakagawa, T.: Progress in additive manufacturing and rapid prototyping. CIRP Ann. 47(2), 525–540 (1998)

    Article  Google Scholar 

  44. Huang, S.H., Liu, P., Mokasdar, A., Hou, L.: Additive manufacturing and its societal impact: a literature review. Int. J. Adv. Manuf. Technol. 47(2), 1191–1203 (2013)

    Article  Google Scholar 

  45. Lee, J., Bagheri, B., Kao, H.A.: A cyber-physical systems architecture for industry 4.0-based manufacturing systems. Manuf. Lett. 3, 18–23 (2015)

    Article  Google Scholar 

  46. Rüßmann, M., et al.: Industry 4.0: the future of productivity and growth in manufacturing industries. Boston Consult. Group 9(1), 54–89 (2015)

    Google Scholar 

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Correspondence to Francesco Demarco .

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Demarco, F., Bertacchini, F., Scuro, C., Bilotta, E., Pantano, P. (2020). Algorithms for Jewelry Industry 4.0. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11973. Springer, Cham. https://doi.org/10.1007/978-3-030-39081-5_37

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  • DOI: https://doi.org/10.1007/978-3-030-39081-5_37

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