Modern Geometric Modeling II

Dear Colleagues,

In recent decades, geometric modeling has evolved into an interesting and powerful branch of modern science and engineering. Its theories are mostly related to mathematics and computer science, and applications are commonly found in industrial design, computer graphics and animation, CAD/CAM, architecture, and other areas. Most of the popular approaches in geometric modeling include parametric spline curves and surfaces (NURBS, B-splines, T-splines, etc.) which are simple and intuitive for use by industrial and graphic designers. On the other hand, high-quality shapes often require non-traditional approaches such as the use of special functions.

We believe that the field of geometric modeling needs breakthrough research which will result in a higher level of understanding of shape modeling and visual perception, geometric aesthetics, the need of artificial intelligence and the multi-criteria assessment of shape quality in the CAD systems of the future, as well as the necessity of fundamentally new mathematical tools and paradigms which will revolutionize geometric modeling.

The scope of the Special Issue includes but is not limited to original research works within the subject of geometric modeling and its applications in engineering, arts, physics, biology, medicine, computer graphics, architecture, etc., as well as theoretical mathematics and geometry which can be applied to problems of geometric modeling. For this Special Issue, we plan to accept the following types of manuscripts:

• Overviews;

• Research manuscripts;

• Short manuscripts which discuss open problems in geometric modeling.

In view of the above, we invite you to submit your latest work to this Special Issue entitled “Modern Geometric Modeling: Theory and Applications II”. If you are interested in the contents of our previous Special Issue, you can access it online at https://www.mdpi.com/journal/mathematics/special_issues/Modern_Geometric_Modeling_Theory_Applications

Prof. Dr. Kenjiro T. Miura

Prof. Dr. Rushan Ziatdinov

Guest Editors

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