Texture mapping is a common method to add surface detail by mapping texture patterns onto object surfaces. The texture can be defined as a rectangular array or a procedure modifying surface intensity values. This approach, called texture mapping or pattern mapping, was illustrated by mapping a unit square pattern to a cylindrical surface through a series of linear transformations. Pixel positions were mapped to texture space and averaged to obtain each pixel intensity from the texture pattern.

1. Tayyaba Jabeen
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MS2Cs

2. What is Texture Mapping
A common method for adding surface detail is to map
texture patterns onto the surfaces of objects.
The texture pattern may either be defined in
rectangular array or as a procedure that modifies
surface intensity values. This approach is referred to as
texture mapping or pattern mapping.

3. Example of Texture Mapping
To illustrate the steps in texture mapping, we consider the transfer
of the pattern shown in Fig. 14-97 to a cylindrical surface. The
surface parameters are
Mapping a texture pattern defined on a unit
square (a) to a cylindrical surface (b).

4. We can map the array pattern to the surface with the following linear
transformation, which maps the pattern origin to the lower left corner of the
surface.
Next, we select a viewing position and perform the inverse viewing
transformation from pixel coordinates to the Cartesian reference for the
cylindrical surface. Cartesian coordinates are then mapped to the surface
parameters with the trans- formation
And the parametric representation for the surface in the Cartesian
reference frame is

5. • and projected pixel positions are mapped to
texture space with the inverse transformation
• Intensity values in the pattern array covered by
each projected pixel area are then averaged to
obtain the pixel intensity.