POLYGON SURFACES
The most commonly used boundary =presentation for a three-dimensional graphics object may be a set of surface polygons that enclose the item interior. Many graphics systems store all object descriptions as sets of surface polygons. This simplifies and accelerates the surface rendering and display of objects, since all surfaces are described with linear equations. For this reason, polygon descriptions are often mentioned as "standard graphics objects." In some cases, a polygonal representation is that the only 1 available, but many packages allow objects to be described with other schemes, like spline surfaces, that are then converted to polygonal representations for processing.
A polygon representation for a polyhedron precisely defines the surface features of the item. except for other objects, surfaces are tessellated (or tiled) to provide the polygon-mesh approximation. In Fig. 10-1, the surface of a cylinder is represented as a polygon mesh. Such representations are common in design and solid- modeling applications, since the wireframe outline are often displayed quickly to convey a general indication of the surface structure. Realistic renderings are produced by interpolating shading patterns across the polygon surfaces to eliminate or reduce the presence of polygon edge boundaries. and also the polygon-mesh approximation to a curved surface are often improved by dividing the surface into smaller polygon facets.
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