Perspective is a technique used to represent three-dimensional objects and depth on a two-dimensional surface. It was developed during the Renaissance period by artists like Brunelleschi who invented linear perspective. Perspective uses techniques like relative size, converging lines, and vanishing points to create the illusion of depth on a flat surface. There are different types of perspective like one-point, two-point, and three-point perspective that use varying numbers of vanishing points depending on the scene.

2. [dictionary]
The technique of representing three-dimensional objects and
depth relationships on a two-dimensional surface.
[wikipedia]
Is an approximate representation, on a flat surface (such as
paper), of an image as it is seen by the eye
Characteristic features
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

3. Perspective developed
during the renaissance
period
Albrecht Durer
He said that if two painters were to draw a
scene from two different angles, the
paintings would be different but then, what
would they have in common?
Filippo Brunelleschi
one of the foremost architects and
engineers of the Renaissance
Invented artistic linear perspective

4. Before After
Illusion of depth
Oddness and flatness
Size of elements according to distance
Shapes
Reconstruction of the Temple The school of athens
of Jerusalem
BV

5. Vanishing point
the point at which parallel lines receding from an observer seem
to converge
Picture plane or painting
plate
the appearance of things relative to one another as determined
by their distance to the viewer
Axis
a reference line from which distances or angles are measured in a

6. 1. One-point perspective
2. Two-point perspective
3. Three-point perspective
4. Four-point perspective
5.Zero-point perspective
6. Foreshortening

7. Characteristics
-one vanishing point is present
-one-point perspective is present when the scene drawn is
composed of
-line segments which intersect only at right angles
Applications
- one-point perspective can be used when subject is made up of
lines which are either parallel with the viewer’s line of sight or
perpendicular

8. Draw a horizontal line
Indicate vanishing point in the horizontal line
Draw desired shape
Draw lines from the shape’s corners to vanishing point
Draw vertical and horizontal lines to finish desired shape
http://www.slideshare.net/Lexi83/perspective-ppt

9. Characteristics
-two vanishing points are present
-one point represents a set of parallel lines
-other point represents the other set
-to make things easy, imagine you are in a junction
Applications
-scenes wherein one-point perspective is used but rotated
-corner of a building, book, box, two forked roads

10. Draw guide lines (horizontal and vertical)
Indicate left and right vanishing points
Draw desired height of object (vertical)
Draw lines from tips to vanishing points
http://www.slideshare.net/jgammill/two-point-perspective

11. Characteristics
-three vanishing points are present
-two points (from two-point perspective) one for each wall
-third vanishing point is used for how those walls vanish into the
ground
Applications
-used for buildings seen from above or below

12. Characteristics
-two vanishing points are present
-one point represents a set of parallel lines
-other point represents the other set
-to make things easy, imagine you are in a junction
Applications
-scenes wherein one-point perspective is used but rotated
-corner of a building, book, box, two forked roads

13. Characteristics
-two vanishing points are present
-one point represents a set of parallel lines
-other point represents the other set
-to make things easy, imagine you are in a junction
Applications
-scenes wherein one-point perspective is used but rotated
-corner of a building, book, box, two forked roads

14. Characteristics
-two vanishing points are present
-one point represents a set of parallel lines
-other point represents the other set
-to make things easy, imagine you are in a junction
Applications
-scenes wherein one-point perspective is used but rotated
-corner of a building, book, box, two forked roads

16. - Projections wherein parallel lines
remain parallel.
-Ratios of distances between two
different points (in a line) are
preserved.
- Three types: elevation, oblique
projections, and isometric projections.

17. - Only two
coordinates
are
considered

18. Drawn from an angle, causing the front
sides to look distorted.

19. The floor is drawn without distortions. The
The walls emerge at an angle.

20. The perpendicular corners form 120
degree angles.

21. DO WE REALLY SEE THESE FIGURES
WHEN WE LOOK AT A NORMAL HOUSE?
WHY OR WHY NOT?
This is where perspective comes in…

23. What’s the difference?

24. The cone of vision is only thirty
degrees about the axis so the
vanishing points of a cube at both
sides can’t be seen at the same
time.

25. - Since two parallel lines never intersect, these
‘vanishing points’ do not really exist in three-
space, so where are they located?
-A solution to this problem was introduced by
Desargues.
- He introduced the idea that “points at
infinity” exist.

26. - It is also called the ideal point.
- The union of the number line and its point at
infinity will yield a closed curve. (the real projective line)
- All lines now intersect, including parallel lines.

27. - New arithmetic operations were defined in this
kind of system.