The term texture is a somewhat confusing term in computer graphics and generally does not mean controlling the small-scale geometry of the surface of a computer graphics object, which is the normal meaning of the word. A better term is colour map.
Texture is mapped onto an already available surface.
A surface texture is created by the regular repetition of an element or pattern, called surface texel, on a surface. Deterministic texture is created by repetition of a fixed geometric shape such as a circle or square. Examples of deterministic textures are patterned wallpaper and bricks. Texels are represented naturally by the shape parameters of the specific shape. Statistical textures are created by changing patterns with fixed statistical properties.