Visual Imaging in the Electronic Age. Drawing Perspective Images
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1 Visual Imaging in the Electronic Age Lecture # 2 Drawing Perspective Images Brunelleschi s Experiment August 24, 2017 Prof. Donald P. Greenberg
2 User Name: art2907 Password: student17
3 O che dolce cosa e' questa prospettiva! - Paolo Uccello
4 The Miracle of the Profaned Host, Paolo Uccello. Tempera on wood. 33 x 55 cm. Urbino, Galleria Nazionale delle Marche.
5 The Flagellation of Christ, c Piero della Francesca. Tempera. 59 x 81.5 cm. Urbino, Galleria Nazionale delle Marche.
6 Albrecht Durer, Untitled (Two draughtsmen plotting points for the drawing of a lute in foreshortening) From Underweysung der Messung mit dem Zirkel und Riichtscheyt, 1 st Ed., Woodcut print.
7 Light as Rays
8 Light as Waves
9 Light as Photons
10 Planar Geometric Projections Planar Geometric Projections Parallel Perspective Orthographic Oblique One-point Two-point Three-point Multiview Orthographic Axonometric Cavalier Cabinet Isometric Dimetric Trimetric
11 Planar Geometric Projections Planar Geometric Projections Parallel Perspective Orthographic Oblique One-point Two-point Three-point Multiview Orthographic Axonometric Cavalier Cabinet Isometric Dimetric Trimetric
12 Orthographic Projections Projectors are perpendicular to the image plane Object faces are parallel to the image plane Diagram from Axonometric and Oblique Drawing: A 3-D Construction, Rendering, and Design Guide by M. Saleh Uddin. New York: McGraw-Hill P. 9.
13 Architecture Plan and Elevations
14 Planar Geometric Projections Planar Geometric Projections Parallel Perspective Orthographic Oblique One-point Two-point Three-point Multiview Orthographic Axonometric Cavalier Cabinet Isometric Dimetric Trimetric
15 Axonometric Projections Projectors are perpendicular to the image plane Object faces are not parallel to the image plane Diagram from
16 Comparison of Axonometric & Perspective Drawings What are the advantages of an axonometric drawing? Can measure distances on axonometric. Can t measure distances on perspective.
17 Planar Geometric Projections Planar Geometric Projections Parallel Perspective Orthographic Oblique One-point Two-point Three-point Multiview Orthographic Axonometric Cavalier Cabinet Isometric Dimetric Trimetric
18 Oblique Projections Projectors are parallel but not perpendicular to the image plane Object faces are parallel to the image plane Diagram from Axonometric and Oblique Drawing: A 3-D Construction, Rendering, and Design Guide by M. Saleh Uddin. New York: McGraw-Hill P. 9.
19 Planar Geometric Projections Planar Geometric Projections Parallel Perspective Orthographic Oblique One-point Two-point Three-point Multiview Orthographic Axonometric Cavalier Cabinet Isometric Dimetric Trimetric
20 Perspective Projection Projectors are not parallel but converge on a single focal point (eye, camera) Diagram from Axonometric and Oblique Drawing: A 3-D Construction, Rendering, and Design Guide by M. Saleh Uddin. New York: McGraw-Hill P. 9.
21 Picture Plane Looking Through a Window Note: all rays converge on our one cyclopean eye
22 One Point Perspective
23 Perspective Projection (2-point) Rays of light travel from the object, through the picture plane, and to the viewer's eye. This is the basis for graphical perspective.
24 Computer Graphics Perspective Image Generation
25 Model Standard Computer Graphics Pipeline Camera Perspective Transform Raster Operations Image Storage Display
26 Camera Definition Camera View direction Model The camera location, view direction, and frustum must be defined relative to the object.
27 Model Coordinate System Z The model is described in a right handed coordinate system. X Y
28 Eye Coordinate System Z Y e The model is described in a right handed coordinate system. Z e X e The eye coordinate system is a left handed coordinate system. X Y
29 Eye Coordinate System Y e Picture Plane Note the eye coordinate system is a left-handed coordinate system
30 Left Handed and Right Handed Coordinate Systems z Left Handed z Right Handed x y z y x z y x x y
31 DPG- Note that the picture plane is a left handed coordinate system, similar to the eye coordinate system. X is to the right, y is vertical and z increases with depth.
32 Simple Perspective Transformation Y e Picture Plane P (x s, y s ) Point On Object P(x e, y e, z e ) X e S Z e S Z e = 0 Z e = D
33 Simple Perspective Transformation Y e P(x e, y e, z e ) P (x s, y s ) O D Q S Q Z e z e = 0 display screen Elevation drawn in the Y e, Z e plane.
34 Simple Perspective Transformation xs D x = = x z e e Dx e s y s ze,, ys D = = y z e e Dy z To convert to a dimensionless fraction, can divide by the window size S. e e Dx y e x s =, s = Sze Dy Sz e e
35 Perspective Projection Picture Plane Object Eye coordinate system Plan or elevation view
36 Pinhole Camera Note that the entire image through the pinhole is totally in focus on a single image plane.
37 Ibn al-haitham (Al-Hazen) Credited with the having built the first camera obscura in the 10 th Century.
38 Camera Obscura
39 Solar Eclipse 8/21/17
40 Brunelleschi s Perspective Experiment How do you draw a perspective image? How do you know it is correct? Martin Kemp. THE SCIENCE OF ART, Chapter 1 (Linear perspective from Brunelleschi to Leonardo), pp AVAILABLE ON COURSE WEBSITE
41 Brunelleschi s Perspective Experiment
42 Brunelleschi
43 Brunelleschi
44 Ghiberti s Doors
45
46 Brunelleschi
47 Brunelleschi
48 Brunelleschi
49 Brunelleschi s Experiment
50 Brunelleschi s Experiment
51 Brunelleschi Video (render01_wmv)
52 Brunelleschi s Experiment
53 Brunelleschi s Experiment
54 Brunelleschi s Experiment
55 Assignment #1
56 Plan View (Not to scale)
57 Elevation View (Not to scale)
58 End...
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