Polygon Surfaces - Curves and Surfaces

By Figure 1 and Figure 2 it is clear that it is possible to store description of objects as a set of surface polygons and similar is actually made by many graphic systems, in reality this way of object description fastens the rendering and display of object surfaces.

The approach is helpful because each surface can now be explained with linear equations and thus polygonal explanation of the surfaces is termed as "standard graphic objects". Mostly it is the polygonal representation that is available to explain the object but there is another scheme like spline surfaces that are converted to polygonal representation for processing. 

See the figure 3 where the cylindrical surface is represented like a mesh of polygons. The representation is termed as wire frame representation that can quickly explain the surface structure. Upon the basis of the structure a realistic rendering can be performed through interpolating the shading patterns across the polygon surfaces. Hence polygon mesh representation of the curved surface is in reality dividing a curved surface in polygon facets. This enhances and simplifies the process of rendering that is transforming a 3-D scene to 2-D scene with least loss of information as height and depth. Here the objects are composed of standard graphic objects as polygon surfaces. All graphic objects need some technique for its explanation which could be a polygon equation or table and so on. So, here study the procedures to show a polygon surface.