This document provides instructions for creating curvilinear perspective drawings using vanishing points and describes examples of perspective grids, finding projection points, and projecting objects like cubes and cylinders onto a hemispherical field of view. It also includes steps for creating cubic panoramas using SketchUp and the CubicPano Out plugin to render 6 images that can then be imported into Bixorama software for different projections.

1. Prospettiva ZeroSei
Massimo Marrazzo
Curvilinear perspective: “how to draw” and examples
UPDATE: 31 JULY 2015
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5 vanishing points

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60
45
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15 30 45 60 75
Perspective grids

3. 2Prospettiva ZeroSei
Side Front
A horizontal line projected on
the hemispherical field of view
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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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horizontal grid
vertical grid
A grid of horizontal lines projected
on the hemispherical field of view
A grid of vertical lines projected
on the hemispherical field of view
Front
Top
K

5. 4Prospettiva ZeroSei
How to find any point projected on
the hemispherical field of view
A
A’
A A
A
A’
Front Side
Top
123

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3
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Heights and base point projected
on the hemispherical field of view
Front Side
Top
As an alternative to graphical construction, it is also possible to use plastic ellipse templates.

7. 6Prospettiva ZeroSei
75
60
45
30
15
15 30 45 60 75
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315°
15°
15°
Front Side
Top
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Vanishing points of angled lines, on
the horizontal line of a hemispherical
visual field.
Lines inclined at 15° projected
on a hemispherical field of view

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Front Side
Top
Lines inclined at 15° projected
on a hemispherical field of view
15°
15°
15°
The vanishing point for a frontal object
is on the circumference, not on the axis.

9. 8Prospettiva ZeroSei
Front Side
Lines inclined at 45° projected
on a hemispherical field of view
Top
45°
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45°

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Objects in Two-point perspective projected
on the hemispherical field of view
Front Side
Top
60°30° 45°45°
60°30° 45°

11. 10Prospettiva ZeroSei
Top
Objects in Three-point perspective projected
on the hemispherical field of view
Front Side
Front Side
45°
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44
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Front Side
Top
A cube and a cylinder projected
on a hemispherical field of view

13. 12Prospettiva ZeroSei
45°
45°
Front Side
Top
Two geometric solids projected
on a hemispherical field of view
The vanishing point for a frontal object
is on the circumference, not on the axis.
45°

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https://www.createspace.com/5422583
http://www.amazon.it/Prospettiva-ZeroSei-prospettiva-rettilinea-
curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434099323&sr=8-1&keywords=massimo+marrazzo
http://www.amazon.co.uk/Prospettiva-ZeroSei-prospettiva-rettilinea-
curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100506&sr=8-1&keywords=massimo+marrazzo
http://www.amazon.es/Prospettiva-ZeroSei-prospettiva-rettilinea-
curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100506&sr=8-1&keywords=massimo+marrazzo
http://www.amazon.fr/Prospettiva-ZeroSei-prospettiva-rettilinea-
curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100444&sr=8-1&keywords=massimo+marrazzo
http://www.amazon.de/Prospettiva-ZeroSei-prospettiva-rettilinea-
curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100621&sr=8-1&keywords=massimo+marrazzo
Manuale di prospettiva lineare e curvilinea
Massimo Marrazzo
2015
A complete manual of Perspective from 0 to 6 vanishing point, including the curvilinear perspective.
Drawings are step by step, without long descriptions.
Learn how draw in one, two and three-point linear perspective.
Master the curvilinear perspective with four, five and six vanishing point.
Sketch futuristic cars or the ultimate mp3 player by freehand technique.
Have fun with anamorphic projections and stereo drawings for a 3D effects.
Circles, shadows, people, reflections, and much more.
In just one book the best tricks to drawing precise and fast perspectives.
There is also a 5 languages Dictionary and Terminology page. (Italiano, English, Español, Français, Deutsch).
The book is 312 pages in 16 chapters. The book is in Italian.

15. 14Prospettiva ZeroSei
issuu.com/massimomarrazzo/docs/estratto_prospettiva_da_0_a_6_punti
In the book you can find perspective drawings with 4, 5 and 6 vanishing points.
And much more: shadows, reflections, human figure, tips,...
Learn visually
This book for the moment is in Italian but the drawings are step by step, so you don't need to read.
Anyway there is a dictionary in 5 language (Italian, English, Spanish, French, German) to translate words
in the case.
Download a free preview from here:
45°225° 135° 90°180°270° 0°/360° 315° 270°
L1
L2
165° 75°
Shadows
Three-point perspective Four-point perspective
Reflections
Freehand sketching

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http://www.sketchup.com/
http://www.smustard.com/script/CubicPanoOut
http://www.outerspace-software.com/bixorama.html
SOFTWARE
STEPS
Bixorama
also available as trial version
Perspective0-6
CREATE CUBIC PANORAMA
SketchUp
plugin: CubicPano Out
Open Sketchup
Draw or import a 3D environment cubic (4 sides + sky and ground)
The Cubic Pano Out plugin was created by John Wehby
to create cubic panoramas with a click
Install CubicPano Out for SketchUp
copy the cubicpanoout.rb file inside the folder Plugins SketchUp
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17. 16Prospettiva ZeroSei
STEPS
Perspective0-6
Set up Viewpoint at a point in the center of the cubic space that you want to show
Camera change to allign with new Viewpoint
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Perspective0-6
Choose the resolution of the 6 images for the cubic environment
select "True Create Cube Pages"
SketchUp render the 6 scenes
From the Menu Bar -> Camera -> select CubicPano Out
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STEPS
Perspective0-6
SketchUp asks to select the folder and the name of the first image to be saved
(6 images are saved automatically with consecutive numbering from 0 to 5)
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6 squared rendering from CubicPano Out

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STEPS
Perspective0-6
open Bixorama
Menu -> Import Panorama -> Single Files
select one by one the 6 scenes numbered from 0 to 5
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STEPS
Perspective0-6
Menu -> View ( you can render different projections)
Menu -> Export ( you can export different projections)
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STEPS
Perspective0-6
Latitude Longitude
Mirror Ball
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23. 22Prospettiva ZeroSei
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 2.0
Generic License. To view a copy of this license, visit
or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.
Massimo Marrazzo - 2015
http://creativecommons.org/licenses/by-nc-nd/2.0/