Computational Geometry and Computer-Aided Geometric Design
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".
Deadline for manuscript submissions: 31 January 2026 | Viewed by 80
Special Issue Editor
Interests: mathematical modelling; algebraic geometry; applied geometry; applied topology; computational geometry; photogrammetry; geodesyGIS and RS; medical imaging; neural networks; non-parametric statistics; topological data structures; algebraic topology
Special Issue Information
Dear Colleagues,
Computational geometry and Computer-Aided Geometric Design (CAGD) have long played essential roles in applied mathematics, computer science, and engineering. In recent years, their significance has grown due to emerging applications in autonomous systems and other advanced Artificial Intelligence technologies. This Special Issue aims to bring together original contributions to the mathematical foundations and practical applications of these fields, demonstrating their increasing relevance in modern technologies.
The motivation for this Special Issue stems from the expanding role of geometric computation in real-world and real-time applications. Autonomous delivery devices rely on precise geometric algorithms for optimal navigation and obstacle avoidance. Next-generation driver-assist technologies, such as those found in the Volvo EX90, integrate real-time 4D geometric computing to enhance safety, detect driver attention, and respond to emergencies in real-time, if needed. Additionally, drones and robotic systems leverage computational geometry for optimal path planning, object recognition, and environmental mapping. These advancements underscore the importance of continued research in these domains.
This Special Issue includes articles spanning both pure and applied mathematics, reflecting the breadth of computational geometry and CAGD. The key themes covered in this collection include the following:
- Geometric modelling: Advancements in shape representation, surface reconstruction, and digital fabrication,
- Computer-Aided Geometric Design: Techniques for curve and surface modelling, CAD applications, and interactive geometric tools,
- AI applications: Machine learning approaches that incorporate geometric reasoning, such as neural implicit representations and generative geometric models,
- Optimization applications: Applications of computational geometry to optimization.
By bringing together researchers from academia and industry, this Special Issue aims to foster collaboration and inspire new developments in computational geometry and geometric design. We hope that the contributions presented here will serve as a valuable resource for those working at the intersection between mathematics, AI, and engineering.
Prof. Dr. Francois Anton
Guest Editor
Manuscript Submission Information
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Keywords
- geometric computing
- computer-aided geometric design
- AI applications
- optimization applications
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