Geometric modeling is a mathematical technique used to create representations of objects in three-dimensional space. It involves defining shapes and surfaces using various methods, such as polygonal modeling, NURBS, or parametric modeling. These models are essential in fields like computer graphics, engineering, and architecture, allowing designers to visualize and manipulate objects digitally. In geometric modeling, the focus is on accurately representing the geometry of an object, which can be used for simulations, animations, or manufacturing. By using software tools, designers can create complex shapes and structures, making it easier to analyze and refine their designs before production.