Node: Parallel Projections, Next: The Perspective Projection, Previous: Projections, Up: Projections

When a `Picture`

is projected onto the x-y plane, the
x and y-values from the `world_coordinates`

of the `Points`

belonging to the objects on the
`Picture`

are copied to
their `projective_coordinates`

, which are
used in the MetaPost code written to `out_stream`

.
If a `Picture`

`p` contains an object in the x-y plane,
or in a plane parallel to the x-y plane, then
the result of `p``.output(Projections::PARALLEL_X_Y)`

is more-or-less
equivalent to just using MetaPost without 3DLDF.

Rectangle r(origin, 3, 3, 90); Circle c(origin, 3, 90); c *= r.shift(0, 0, 5); r.draw(); c.draw(); current_picture.output(Projections::PARALLEL_X_Y);

Fig. 53.

If the objects do not lie in the x-y plane, or a plane parallel to the x-y plane, then the projection will be distorted:

current_picture.output(Projections::PARALLEL_X_Y);

Fig. 54.

`Picture::output()`

can be called with an additional `real`

argument `factor` for magnifying or shrinking the `Picture`

.

Rectangle r(origin, 4, 4, 90, 60); Circle c(origin, 4, 90, 60); c *= r.shift(0, 0, 5); r.filldraw(black, gray); c.unfilldraw(black); current_picture.output(Projections::PARALLEL_X_Y, .5); current_picture.shift(2.5); current_picture.output(Projections::PARALLEL_X_Y); current_picture.shift(1); current_picture.output(Projections::PARALLEL_X_Y, 2);

Fig. 55.

Parallel projection onto the x-z and z-y planes are completely analogous to parallel projection onto the x-y plane.