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Surface of Revolution - Modeling and Rendering
In the previsions sections we have learned different type of techniques of generating curves, although if we wish to generate a close geometry that is extremely symmetric in all the halves, that is: front-back, top or bottom; after that it will be quite complicated for any person by doing this separately for all half. In such a situation the idea of surface revolution is fairly useful, since it assists in producing graphic objects hence they are very symmetric in all half. Such geometries produced after Surface revolution is also termed as Sweep Representations that is one of the solid modeling construction methods provided by several graphic packages.
Sweep representations are helpful for making three-dimensional objects such possess translational, rotational or another symmetry. We can show such objects by specifying a two-dimensional shape and a sweep which moves the shape via a region of space. A set of two-dimensional primitives, as rectangles and circles, can be specified for sweep representations as menu options. Another method for obtaining two-dimensional figures includes closed spline-curve structures and cross-sectional slices of solid objects. Here we discuss this simple method of generating symmetric objects.
Projections - Viewing Transformation Specified 3-D object in a space, Projection can be explained as a mapping of 3-D object into 2-D viewing screen. Now, 2-D screen is termed
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determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.
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