Prospettiva ZeroSeiMassimo Marrazzo

Curvilinear perspective: 5 vanishing points with examples

March 2017

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5 vanishing points

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5 vanishing points

Front Side

Top

Projection of a cube on the hemispherical field of view

Front view of the lines

projected on the hemisphere

horizonta

l lines

vert

ical lines

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21

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21

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Projection of parallel lines on the hemispherical surface

In spherical perspective the horizontal lines and the vertical are curved. The view is wide up to 180° vertically and horizontally.

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45° 45°45°

Top view

Front view

0°

15°

30°

45°

60°75°

0°15°

30°

45°

60°

75°

Angles

The divisions for horizontal anglescorrespond to the vertical ones,

Drawing 45° grid

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Side Front

A horizontal line projected on

the hemispherical field of view

1/2 1/21/21/21/2 1/21/21/2

1/2 1/21/21/2

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2 K

K

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K

As an alternative to graphical construction, it is also possible to use plastic ellipse templates.

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30°

45°

60°

Objects Lateral to the hemispherical

field of view Front Side

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15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

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Objects Lateral to the hemispherical field of view

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

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Cube rotated 45°

60°

Objects Lateral to the hemispherical

field of view Front Side

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15°

30°

45°

60°

75°

0°

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30°

45°

60°

75°

45°

15°

30°

45°

60°

75°

15°

30°

45°

60°

75°

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Objects Lateral to the hemispherical field of view

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

0°

15°

30°

45°

60°

75°

15°

30°

45°

60°

75°

15°

30°

45°

60°

75°

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30°

41°

139°

41°

139°

30°

Objects Frontal to the hemispherical

field of view Front Front

Car rotated 60°

0°15°30°45°

60°

75°

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Objects Frontal to the hemispherical field of view

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0°

15°

30°

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60°

75°

0°15°

30°

45°

60°

75°

Perspective chart 0°

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45° 45°

Perspective chart 45°

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30°45°60°30°

0°15°

30°

45°

60°

75°

Perspective chart 30°/60°

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This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 2.0 Generic License.

To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/2.0/

Massimo Marrazzo - 2017http://www.biodomotica.com/

http://prospettivazerosei.blogspot.it

https://logicalcells.blogspot.it