Topological differentiation of normal textures

Topological Properties: the manifold maps to the plane, that is, the topology (texture, UV) ing, model pixels <-> texture (Space) pixels <-> the normal of the tangent space (other attributes defined on the texture, such as the height ).

The degree of local curvature on the manifold is the tangent space of each point, model pixel <-> tangent space.

Topology differentiation can be combined. First, the manifold is mapped to the plane, and each point has its own tangent space.

When calculating the illumination, although the cut confluence above the flow pattern (each point can correspond to the tangent space on the texture) Normal, only the pre-calculation or dynamic calculation of the tangent space is required, converts the light or normal to the world space.

From the difficulty of solving the problem, the topology is bigger, and there is a fixed method for the differentiation. However, there will also be difficult problems. The ideal topology also requires the support of the differentiation,

Therefore, the importance of differential ry is reflected. After the topology is still guaranteed, very perfect is critical for dynamic texture addressing.

This requires that the tangent space have a certain relationship before and after the topology. For details, refer to the first basic form of corner preserving duration determination conditions.

 

Topological differentiation of normal textures