Perspective Theory

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    Prof.TimPurdy

    2011Perspective Drawing

    Rectilinear forms have three sets of parallel lines that showheight, width and depth. This cube is color coded to show each

    set of parallel lines. There are many ways to draw 3D forms in

    2D. This cube is shown in isometric projection. That mean that

    there is no dimensional distortion; there are no converging lines.

    This kind of drawing is often used for technical drawings.

    The key to good perspective drawing

    in Illustrator is to properly set up your

    construction lines. In order to do this

    effectively, you will need to understand

    how each element relates to the others.

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    Prof.TimPurdy

    2011Perspective Drawing

    In order for a drawing to convey a sense of depth, we need to

    use perspective. This is how the human eye perceives objects.

    Lines in a perspective drawing converge towards a common

    point. This Escher print uses three point perspective.

    This is an example of one point perspective. Notice

    how two sets of lines are still parallel, but the set

    showing depth is converging towards a point on the

    Horizon line. These lines are built along guide lines

    that run from the foreground to the Vanishing Point.

    Vanishing Point

    Horizon

    Line

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    Prof.TimPurdy

    2011Perspective Drawing

    In two point perspective, two sets of parallel lines run

    towards two separate Vanishing Points on the Horizon.

    Only one set of parallel lines remains. Notice that

    the vertical lines that indicate the objects height get

    shorter the further away from the viewer they are. The

    closer the Vanishing Points, the more distortation there

    will be in the image.

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    pp

    obs 1

    obs 2

    obs 3

    TopView

    vp vp hl

    gp

    vp vp

    vp vp

    Observer

    Distant

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    Observer Heightobs 1

    obs 2

    obs 3

    vp vp

    vp vp

    vp vp

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    Observer Position

    pp

    obs

    TopView

    vp vp hl

    gp

    obs

    TopView

    vp vp

    obs

    TopView

    Angles

    60/30

    Angles

    45/45

    Angles

    30/60

    vp

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    2011

    Cone of Focus

    VP VP

    CF

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    Cone of Focus

    TOP

    VIEW

    OBSERVER

    CIRCLE OF FOCUS

    PICTORIAL VIEW SIDE VIEW

    OBJ

    PP

    GP

    CF

    CS1

    CS1

    CS1

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    Cone of Focus

    OBSERVER

    OBSERVER

    PICTUREPLANE

    PICTUREPLANE

    CONE OF FOCUS

    45 60

    CONE OF FOCUS

    45 60

    1 2 2 1 2 3

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    Cone of Focus

    EL

    EYE

    50 30

    40

    CV

    LIM

    IT

    OFTHE

    EYES

    VIEW

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    2011

    Cone of Focus

    EL

    EYE

    50 30

    40

    CVLIM

    IT

    OFTHE

    EYES

    VIEW

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    Circles in Perspective

    EYE LEVEL

    EYE LEVEL

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    Circles in Perspective

    MORE

    LESS

    EQUAL

    EQUAL

    4

    1

    3

    2 DIAMETER

    AXIS

    MAJOR AXIS

    MINOR

    AXIS

    DIAMETER

    PLANE

    TOP VIEW

    MAJOR AXIS

    MAJOR AXIS

    MAJOR AXIS

    4

    1

    3

    2

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    Circles in PerspectiveCircles in Perspective

    horizontal plane vertical plane horizontal plane vertical plane

    draw any perspective square draw any perspective square draw any perspective square; divide into

    4 parts; locate mid points

    draw any perspective square; divide into

    4 parts; locate mid points

    locate center and 4 mid points locate center and 4 mid points divide into 16 parts divide into 16 parts

    perspective

    center

    estimate somewhat 2/3

    distance from 0 to cornerestimate somewhat 2/3 distance from 0 to

    corner

    locate 8 additional points using

    rectangle diagonals

    locate 8 additional points using

    rectangle diagonals

    draw ellipse

    minor axis coincides

    draw ellipse

    minor axis coincides

    8 point 12 point

    1

    1 1=2 1=2 1=2

    4 3

    2

    21 2

    1

    2

    1=2

    1

    2