Last update: Feb. 18, 2008
BACK 
  
    
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        ``The first object of the painter  
is to make a flat plane appear  
as a body in relief and  
projecting from that plane.'' 
Leonardo da Vinci (b. 1452,  
Vinci, Republic of Florence  
[now in Italy] 
-d. May 2, 1519, Cloux, Fr.) | 
      
      
          
      
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        Annunciation - 1472-75 circa - Uffizi Gallery 
      
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Publications on (technical) Drawing in Perspective :
BibTeX references.
Some web links of interest:
The Art Studio Chalkboard - Drawing 
  -  Focuses on the technical fundamentals of (linear) perspective.
http://www2.evansville.edu/studiochalkboard/draw.html  
The Art of Renaissance Science: Galileo and Perspective
  -  ToC:   www.mcm.edu/academic/galileo/ars/arshtml/arstoc.html
    
   
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    Theory, History and Practice of Perspective directed by Tomás
García-Salgado
    
    
    
    
 
    
    
    
    
    
    by Willy A. Bärtschi
1981.
    
    
    
    
    
    
    
    Francis D.K. Ching
1990
    
    
    
    
    
    
    
    
    
    
    
    Anthony W. Griffin & Victor Alvarez-Brunicardi
Prentice Hall, 1998. 326 pages.
    
    
    Notes
    
    Ch.6 Two-Point Perspectives
    
    
    
    
    
    
    
    
    
    
    
Picture Plane (image plane)
    
      -  Imaginary transparent plane onto which the object is being
projected. 
 
      -  Any part of an object that "touches" the picture plane will
be to scale; hence:
        
          -  It is always to one's advantage to locate the picture
plane such that is passes through a corner of the object being drawn. 
 
          -  Gives you a true height-line, from which all vertical
heights can be measured. 
 
        
       
    
    
    
    
Direct Line of Vision (principal line)
    
      -  Imaginary line from the Station Point to the Picture plane
(perpendicularly). 
 
      -  It should be located so as to intersect with some point of
interest on the building. 
 
    
    
    
    
Station Point (Camera Station)
    
      -  If the station point is too close to the picture plane, the
perspective view becomes overly "distorted"; to prevent this, use the
"cone of vision". 
 
    
    
    
    
Cone of Vision
    
      -  Station Point as vertex. Opening angle usually varies
between 30 and 60 degrees. 
 
      -  Most of the object of interest should be within the cone to
avoid distortions. 
 
      -  3D cone: not only width and depth, but also height of the
object of interest should fall within this cone. 
 
    
    
    
    
Sight Rays
    
      -  Used to project points from the plan to the picture plane
and then down to the perspective. 
 
      -  They must always originate from the Station Point. 
 
    
    
    
    
Plan View (Floor Plane)
    
      -  This is a floor plane drawn to scale, viewed from above
(aerial viewpoint), upon which are plotted points. 
 
      -  It can be plotted above or below the actual perspective
view. 
 
    
    
    
    
Plan Angle (azimuth)
    
      -  Angle between the floor plan and picture plan. 
 
      -  This angle determines the emphasis put on each primary sides
of the object. 
 
    
    
    
    
Ground Line
    
      -  Intersection of the Ground Plane and the Picture Plane. 
 
      -  All vertical measurements are taken from the Ground Line. 
 
    
    
Horizon Line
    
      -  Line formed by the intersection of the Horizon Plane and the
Picture Plane. 
 
      -  The height of the horizon line corresponds to the eye-level
height of the observer. 
 
      -  The location of the horizon line determines whether you will
be looking down or up to the object being drawn. 
 
    
    
    
    
True-Height Line
    
      -  Occurs whenever a part of the object touches the picture
plane. 
 
      -  True-Height Lines can be located at any point in the
perspective view simply by projecting a point from the plan to the
picture plane (central projection w/r to the Station Point). A
perpendicular is then projected from the picture plane down to the
Ground Line. 
 
    
    
    
    
    
    
    
    
    
    
    
    
    
    
Ch.7 One-Point Perspectives
    
      -  Plan Angle is always parallel to the picture plane. 
 
      -  Objects that touches and are parallel to the picture plane
are drawn in a simple orthographic view. 
 
    
    
    
    
Ch.8 Alternate Perspective-Plotting Methods
    
Perspective Charts
    
      -  Use a pre-defined perspective grid and a vertical unit scale
(that scale can always be re-adjusted through multiples). 
 
      -  Each chart is identified with an angle value representing
the plan position of the object in relation to the picture plane. 
 
      -  Most commercially available charts come in:
        
          -  3 plan angle configurations: 30°/60°, 45°
& 0° (the latter corresponds to a 1PtP). 
 
          -  3 view types:
            
              -  normal (distance of 5 to 6 feet between the Horizon
and Ground Lines) 
 
              -  intermediate (taken from a height of 10 to 15 feet
for producing 2nd-floor views). 
 
              -  bird's eye view (large height) 
 
            
           
        
       
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
Photographic Perspective
    
      -  Uses photos or videos of existing buildings. 
 
      -  Additions and/or renovations can be drawn using VPs within
the photograph. 
 
      -  Use a measuring device (tape, rope, ...) to provide accurate
scale info. in the photo. 
 
    
    
    
    
    
    
    Page created & maintained by Frederic Leymarie, 1998-2008