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This technique reduces the number of lines needed to simulate a curved surface which is approximated by many polygons.
English (United States)
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Polyhedral Blending To Simulate Curved Surfaces
This technique reduces the number of lines needed to simulate a curved
surface which is approximated by many polygons.
Fig. 1 illustrates the intersection of two simple curved surfaces (cylinders).
The lines shown in this view are either lines of intersection or contour lines. A
contour line is one which presents a viewpoint tangent to the surface along its
length, or stated differently, it is the intersection of two planes, only one of which
faces the viewer.
Fig. 2 is a drawing of an object similar to that shown in Fig.
1 except that each of the intersecting cylinders is approximated by a
many-faceted polyhedron. These cylinders can be made to appear
smoother, as shown in Fig. 3, by the following procedure:
1. Identify each polygon with its related curved surface,
as indicated in Fig. 2.
2. Draw a line only when (a) it is a contour line or (b)
the two polygons which intersect at the line are not
constituents of the same curved surface.
The elimination of all lines which do not fall into these categories renders an
improved representation (Fig. 3) which is more readily visualized and less costly
to produce than the conventional multi-faceted representation (Fig. 2).
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