Description: The tangent space is a crucial coordinate space in the realm of computer graphics and 3D rendering. It is defined by three vectors: the normal vector, which indicates the direction perpendicular to the surface; the tangent vector, which represents the direction along the surface; and the bitangent vector, which is orthogonal to both the normal and tangent vectors. This coordinate system allows for the correct mapping of textures onto complex surfaces, facilitating the creation of realistic visual effects. In the context of graphics engines and rendering frameworks, tangent space is fundamental for implementing advanced lighting and shading techniques, such as normal mapping. By utilizing this space, developers can simulate surface details that are not present in the model’s geometry, thereby enhancing the visual quality of 3D graphics. Understanding and applying tangent space is essential for any artist or programmer working in game development or 3D visualization applications, as it allows for precise control over how textures are applied and how they interact with lights in the virtual environment.