Texture Mapping is the  process of relating texture to geometry

Approaches:

  1. Create an intermediate Mapping

– Map the texture onto a simple intermediate surface

  1. – Map the intermediate surface to the final object

Intermediate objects

    • Plane        (Planar UV MApping)
    • Sphere        (Spherical UV Mapping)
    • Cylinder        (Cylindrical UV Mapping)
    • Cube        (Box UV Mapping)


Planar UV Mapping


Project to an axial plane, e.g. drop z coord (u,v) = (x, y)


Result:

Spherical UV Mapping

Given a point (x,y,z), convert it to spherical coordinate coordinates (theta,phi)

Result:

Cylindrical UV Mapping

Given a point (x,y,z), convert it to cylindrical coordinates (r, theta, z) and use (theta,z) as the 2D texture coordinates.

Result: