5. Conclusion

The design of curves and surfaces for industry, the medical world, fashion and video games has led to significant advances in the creation of reproducible shapes and their exchange via computer systems. The need for 3D representation has grown in recent years, as it enables us to use the virtual to save on the production of real parts. This is the case, for example, in the design of new aircraft, where teams find themselves validating their work on a virtual model, or testing the assembly of virtual parts in an augmented environment. The world of cinema also makes extensive use of these technologies, using adapted software tools. As computing resources and economic needs have evolved, so have the tools. There is a very active mathematical scientific community in the world, helping to advance the frontiers of knowledge in this field.