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[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
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
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
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
1. One-point perspective
2. Two-point perspective
3. Three-point perspective
4. Four-point perspective
5.Zero-point perspective
6. Foreshortening
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
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
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
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
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
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
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
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
- 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.
- Only two
coordinates
   are
considered
Drawn from an angle, causing the front
sides to look distorted.
The floor is drawn without distortions. The
The walls emerge at an angle.
The perpendicular corners form 120
degree angles.
DO WE REALLY SEE THESE FIGURES
WHEN WE LOOK AT A NORMAL HOUSE?
   WHY OR WHY NOT?
   This is where perspective comes in…
What’s the difference?
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.
- 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.
- 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.
- New arithmetic operations were defined in this
kind of system.
Perspective
Perspective

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Perspective

  • 1.
  • 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
  • 15.
  • 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…
  • 22.
  • 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.