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Innovations in Geometric Modelling and CAD: Exploring Boundaries and Beyond

This special issue belongs to the section “Geometry and Topology“.

Special Issue Information

Dear Colleagues,

In recent decades, geometric modelling has become an interesting and powerful branch of modern science and engineering, driven by innovations and breakthroughs in computer-aided design (CAD) and visualisation technologies. Its theories are mainly rooted in mathematics and computer science, enabling applications in diverse fields such as industrial design, computer graphics, visualisation and animation, CAD/CAM, virtual reality (VR), architecture, biomedical engineering and others. However, we believe that the field of geometric modelling needs continuous exploration and innovation to reach new frontiers and to penetrate into areas where it is less used than in other fields, such as biology, space science, nanoengineering, chemical engineering, quality engineering, environmental engineering, robotics, solar engineering, etc.  In this context, we aim to focus this Special Issue on the intersection and synthesis of geometric modelling, CAD and innovative technologies. We are looking for groundbreaking research on curve and surface modelling, visual perception, geometric aesthetics, and the integration of novel mathematical methods and innovative technologies such as artificial intelligence and virtual, augmented and mixed reality into future CAD systems. In addition, we are particularly interested in innovative technologies for CAD and the integration of fundamentally new mathematical approaches and paradigms, as well as in AI-based tools that have the potential to revolutionise CAD and geometric modelling. The scope of this Special Issue includes original research in the field of geometric modelling and CAD and its applications in various domains, including innovations, engineering, art, physics, medical engineering, computer graphics and architecture. We also encourage submissions that explore theoretical mathematics and geometry that can be applied to address challenges and create innovative approaches to geometric modelling and CAD. We hope that this Special Issue will serve as a platform for researchers and practitioners to share their knowledge and insights, paving the way for exciting advances and innovative approaches in geometric modelling and CAD. We look forward to receiving your contributions and together driving innovation in the field forward.

Prof. Dr. Rushan Ziatdinov
Prof. Dr. Kenjiro T. Miura
Guest Editors

Manuscript Submission Information

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Keywords

  • applied, discrete and computational geometry and topology
  • computer-aided design (CAD)
  • digital twins
  • curve, surface and solid modelling
  • geometric modelling in arts
  • high-quality shapes
  • industrial and scientific applications
  • isogeometric analysis
  • mathematical design
  • mesh generation
  • non-polynomial curves and surfaces (spirals, log-aesthetic curves, GLACS, superspirals, quaternion curves, etc.)
  • optical illusions
  • special functions in geometric modelling

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Axioms - ISSN 2075-1680