Geometric modeling is a branch of computer science and mathematics that deals with representing and manipulating geometric shapes and objects in a digital environment. This area of research includes techniques for creating, analyzing, and editing geometric shapes and surfaces in computer-aided design (CAD) software, computer graphics, and virtual reality applications. Geometric modeling also plays a crucial role in fields such as engineering, architecture, and manufacturing, where precise and detailed representations of physical objects are needed for visualization, analysis, and simulation purposes. Researchers in this field work on developing algorithms and methods for generating and editing geometric models, as well as studying the theoretical foundations of geometric representation and computation. Overall, geometric modeling is a fundamental area of study in computer graphics and related disciplines that has numerous practical applications in various industries.