Notice Board (게시판)

1. Innovations in Geometric Modelling and CAD: Exploring Boundaries and Beyond, Axioms, ISSN 2075-1680, 2024 (together with Prof. Kenjiro Miura, Japan).

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

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 31 May 2020.

Special Issue Editors

Prof. Rushan Ziatdinov E-Mail Website1 Website2

Guest Editor

Department of Industrial Engineering, Keimyung University, Daegu, Republic of Korea

Interests: geometric modeling; computer-aided geometric design; computer-aided design; scientific visualization; computing

Prof. Kenjiro T. Miura E-Mail Website1 Website2

Guest Editor

Department of Mechanical Engineering, Shizuoka University, Hamamatsu, Japan

Interests: geometric modeling; aesthetic curves and surfaces; image processing; intelligent optical measurement; computing

Special Issue Information

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, graphics and animation, CAD/CAM, architecture, and other areas. Most of the popular approaches in geometric modeling include parametric spline curve and surfaces, and they are simple and intuitive for use for industrial designers. On the other hand, as is well known among researchers who study high-quality shapes, polynomial splines are not adequate for reaching highly-aesthetic requirements in industrial products. We believe that the field of geometric modeling needs breakthrough research which will result in a higher level of understanding of shape modeling and perception, the need of artificial intelligence in the CAD systems of the future, as well as the necessity of fundamentally new mathematical tools and paradigms which will revolutionize geometric modeling.

In view of the above, we invite you to submit your latest research in the area of geometric modeling to the Special Issue entitled “Modern Geometric Modeling: Theory and Applications”. The five most outstanding manuscripts will be accepted free of charge.

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, physics, biology, medicine, computer graphics, architecture, etc., and also the theory of computational mathematics and geometry, which can be applied to problems of geometric modeling.

Prof. Rushan Ziatdinov

Prof. Kenjiro T. MIURA

Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

• Curve, surface, and solid modeling

• Mathematical design

• Applied geometry

• Computational geometry and topology

• Isogeometric analysis

• High-quality curves and surfaces

• Non-polynomial curves and surfaces (log-aesthetic curves, superspirals, quaternion curves, etc.)

• Mesh generation

• Industrial and scientific applications