Types of Projections Used in Technical Drawings

Concept sheet | Science and Technology

Projection

Definition

A projection is the representation of a three-dimensional object on a two-dimensional surface.

In technical drawing, as in artistic drawing, difficulties arise when trying to correctly draw an object in three dimensions on a drafting sheet that has only two dimensions. In order to show the three dimensions of the object as well as its characteristics in detail, different types of projections are used.

Examples

Here is the same camera shown in three different projections.

Multiview projection

Multiview projection of a camera.

Multiview projection of a camera

Oblique projection

Oblique projection of a camera.

Oblique projection of a camera

Isometric projection

Isometric projection of a camera.

Isometric projection of a camera

Description of Space Occupied by an Object

In order to fully understand the differences between the various types of projections, it is essential to use the correct terms to describe the space occupied by an object. By convention, the following terminology is used in technical drawing.

Concept

Description

Example


Dimension

An object generally occupies three dimensions in space: length, height, and depth (or width).

Object

Measurement

The measurements of an object correspond to numerical values associated with a unit of measurement.

By convention, a dimension of an object is expressed in millimetres, unless otherwise indicated. Therefore, the units should not appear on the drawing.

Measurement

Face

A face is a flat surface. It has two dimensions (for example, a square).

Object

Edge

An edge is a line. It has only one dimension. It indicates the limits of a face or the common boundary between two faces.

Object

Vertex

A vertex is a point. It has no dimension. It designates the points of intersection between two or more edges.

Object

Orthogonal Projection

Definition

An orthogonal projection is a projection in which all the visual rays starting from the object’s vertices are directed perpendicularly towards an observer positioned in front of the drafting sheet.

This projection category includes multiview projection and isometric projection.

The types of projections differ from each other in two respects: the position of the object relative to the drafting sheet, and the angle between the visual rays and the sheet.

In the case of multiview projection and isometric projection, the visual rays from the vertices of an object are perpendicular to the sheet. This means that an observer can perceive the object in multiview projection (one view at a time) or in isometric projection by being positioned directly in front of the object. These projections thus belong to the category of orthogonal projections.

Examples
Visual rays in a multiview projection.

Visual rays in a multiview projection

Visual rays in an isometric projection.

Visual rays in an isometric projection

In contrast, in the oblique projection, the visual rays from the vertices are oblique to the drafting sheet. In other words, it is impossible to perceive an object in oblique projection if the observer is positioned directly in front of the object.

Example
Orientation of the visual rays in an oblique projection.

Orientation of the visual rays in an oblique projection

Perspective

Definition

Perspective projections are types of projections that give the impression of depth.

There are different ways to represent the depth of an object. The impression of depth can be created by using a vanishing point or by using parallel axis lines. These two methods are shown below.

Perspective projection with a vanishing point

Like central projections in mathematics, perspective projection with vanishing points is used to create the illusion of depth of an object. In this case, the lines reproducing the effect of depth all converge towards one or more points called vanishing points.

Example
Bus in a perspective projection with vanishing point.

Bus in a perspective projection with vanishing point

The use of a vanishing point in a perspective projection is not recommended in technical drawing as the actual proportions of the object are not preserved. In fact, as the convergence lines all converge towards the same vanishing point, the dimensions of the most distant faces are reduced. The vanishing point therefore only provides an overview of the depth. However, this method provides a representation that resembles what the eye of an observer perceives. For example, perspective projection with a vanishing point creates the same depth illusion as photography.

Perspective projection using parallel axis lines

Like parallel projections in mathematics, perspective projection using parallel axes creates the illusion of depth of a projection without the use of a vanishing point. Examples of this are isometric projection and oblique projection. Indeed, in these representations, all the lines related to the depth of an object are parallel to each other. Also, since they do not use a vanishing point, these projections are less consistent with what an observer's eye perceives.

Examples
Bus in a perspective isometric representation.

Bus in a perspective isometric representation

Bus in an oblique perspective representation.

Bus in an oblique perspective representation