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Perspective
Perspective in the graphic arts, such as drawing,
is an approximate representation, on a flat surface (such as paper), of an
image as it is seen by the eye. The two most characteristic features of
perspective are that objects are drawn:
- Smaller as their distance from the observer increases.
- Foreshortened: the size of an object's dimensions along the line of sight are relatively shorter than dimensions across the line of sight.
Linear perspective is a system for drawing
objects that use lines and vanishing points to determine how much an object's
apparent size changes with space.
BASIC
CONCEPTS
The horizon line is a theoretical line that represents the eye level of the observer. The horizon line is the same as the horizon (the edge of the land against the sky) only on a large flat plane like the ocean. Most of the time geographic features (hills) and other objects (trees and buildings) make the horizon above the horizon line.
Indoors the
horizon is often not visible but there is still a theoretical horizon line
representing the point of view of the observer.
Vanishing points
are points (usually) on the horizon line where receding lines (planes)
converge. The vanishing point (v.p.) is on the horizon line when an objects has
horizontal planes that are parallel to the ground. When the object's planes are
inclined the vanishing points can be above or below the horizon line.
There are two
basic systems of linear perspective: one-point and two-point named after the
number of vanishing points used in each.
All parallel
lines follow the same rules. If one goes to a vanishing point then all like
lines go to the same vanishing point. In most systems vertical lines are drawn
vertical (not in three-point perspective).
The station
point represents the eye of the observer. It is the camera in a photograph.
The picture
plane is the "window" that is represented by the picture.
The ground
line is a line that is parallel to the picture plane at the base of the
object being depicted.
Types of perspective
1. One-point perspective
One vanishing
point is typically used for roads, railway tracks, hallways, or buildings
viewed so that the front is directly facing the viewer. Any objects that are
made up of lines either directly parallel with the viewer's line of sight or
directly perpendicular (the railroad slats) can be represented with one-point
perspective.
One-point
perspective exists when the painting plate (also known as the picture plane) is parallel
to two axes of a rectilinear (or Cartesian) scene — a scene which is composed
entirely of linear elements that intersect only at right angles. If one axis is
parallel with the picture plane, then all elements are either parallel to the
painting plate (either horizontally or vertically) or perpendicular to it. All
elements that are parallel to the painting plate are drawn as parallel lines.
All elements that are perpendicular to the painting plate converge at a single
point (a vanishing point) on the horizon.
2. Two-point perspective
Two-point
perspective can be used to draw the same objects as one-point perspective,
rotated: looking at the corner of a house, or looking at two forked roads
shrink into the distance, for example. One point represents one set of parallel
lines; the other point represents the other. Looking at a house from the
corner, one wall would recede towards one vanishing point; the other wall would
recede towards the opposite vanishing point.
Two-point
perspective exists when the painting plate is parallel to a Cartesian scene in
one axis (usually the z-axis) but not to the other two axes. If the scene being
viewed consists solely of a cylinder sitting on a horizontal plane, no
difference exists in the image of the cylinder between a one-point and
two-point perspective.
Two-point
perspective has one set of lines parallel to the picture plane and two sets
oblique to it. Parallel lines oblique to the picture plane converge to a
vanishing point, which means that this set-up will require two vanishing
points.
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