👉 Configuration math, also known as configuration space (C-space) or configuration geometry, is a mathematical framework used to describe the possible positions and orientations of objects within a given environment. It extends classical geometry by considering not just the spatial coordinates but also the configuration, or specific arrangement, of objects. For instance, in robotics, a robot's configuration might include its joint angles and positions, while in computer vision, it could involve the orientation and position of objects in a scene. The configuration space is typically represented as a mathematical manifold, which allows for the application of differential geometry and topology to analyze properties like continuity, smoothness, and connectivity. This framework is crucial for solving problems related to motion planning, collision avoidance, and configuration optimization in various fields, including robotics, computer graphics, and engineering.
