Line of Sight

Line of Sight is the preferred general term for the direction along which an observer, eye, camera or perspective system looks towards a point, object or scene. In perspective, it provides a fundamental directional relationship between the viewpoint or station point and the spatial reality being observed, imaged or represented.

The term is closely related to expressions such as Direction of Vision, Optical Axis, Visual Axis, Central Axis of Vision, Central Visual Ray, Direction of Gaze, Centre Line of Vision and Viewing Angle. These expressions are often used synonymously in perspective, although their precise meaning can vary according to whether the subject is human vision, graphical perspective, photography, optical instruments or another perspective system.

The Line of Sight should also be distinguished from the Field of View. The Line of Sight identifies a direction; the Field of View identifies the angular extent of the scene surrounding that direction.


Definition of the Line of Sight

The Dictionary defines the Line of Sight as a line extending from the eye or centre of projection towards a point within the scene.

In a conventional central-perspective arrangement, a principal Line of Sight establishes the main direction in which the observer, camera or perspective system is directed. It begins at the eye-point, station point or centre of projection and extends into object space.

The Line of Sight may be horizontal or inclined. Looking straight ahead, looking upwards and looking downwards therefore represent different directional arrangements of the same basic principle.


Line of Sight as the Preferred Term

Perspective terminology contains many names for closely related central viewing directions. The Dictionary uses Line of Sight as the preferred general term and redirects numerous alternative terms to it.

Closely related names include:

  • Angle of View (1);
  • Angle of Vision (1);
  • Axis Line;
  • Axis of Cone of Vision;
  • Axis of Pyramid of Vision;
  • Axis of Vision;
  • Central Axis;
  • Central Axis of Vision;
  • Central Ray;
  • Central Visual Ray;
  • Centre Line;
  • Centre Line of Vision;
  • Direct Line of Sight;
  • Direct Line of Vision;
  • Direction of Gaze;
  • Direction of Projection;
  • Direction of Vision;
  • Line of Direction;
  • Line of Projection;
  • Line of Vision;
  • Observation Angle;
  • Optical Axis;
  • Perspective Axis;
  • Principal Angle;
  • Projection Angle;
  • Sight Line;
  • Viewing Angle;
  • Visual Axis;
  • Visual Direction; and
  • Principal Visual Ray.

These terms arise from different historical, optical, geometrical and representational traditions. They should not automatically be assumed to possess precisely the same specialist definition in every discipline, but they belong to the same broad family of directional concepts.


Direction of Vision

Direction of Vision is one of the most direct synonyms for Line of Sight.

A single-view perspective normally requires both a particular viewpoint and a particular direction of vision. Changing the position of the observer changes one variable; turning the observer while remaining in the same position changes another.

Consequently, the statement that two images have been produced from the same viewpoint does not necessarily mean that they show the same perspective view. If their Lines of Sight point in different directions, they represent different portions or aspects of spatial reality.


Viewpoint and Line of Sight

Viewpoint and Line of Sight describe different but complementary elements of a perspective view.

  • Viewpoint or Station Point: where the observer, eye or centre of projection is located.
  • Line of Sight: the direction in which that observer or system is looking or projecting.

A complete viewing arrangement therefore requires more than a location alone. The same station point can generate many different views simply by rotating the viewing direction.

Likewise, maintaining the same viewing direction while moving the station point changes the perspective relationships of the spatial scene.


Line of Sight and Field of View

The Line of Sight and Field of View must not be confused.

The Line of Sight defines a central or selected direction. Field of View describes the angular extent of spatial reality visible, captured, represented or displayed around that direction.

A camera can therefore retain exactly the same Line of Sight while changing its Field of View. Conversely, it can retain the same Field of View while being rotated towards a completely different direction.

The two variables together help define what portion of spatial reality appears within a particular image or view.


Angle of View — Two Different Meanings

The expression Angle of View is potentially confusing because it has been used with two different meanings.

  • Angle of View (1): Direction of Vision or Line of Sight.
  • Angle of View (2): Field of View — the total angular field represented or captured.

The Dictionary therefore prefers Line of Sight for the first concept and Field of View for the second.

This provides a much clearer terminology: a Line of Sight has a direction, while a Field of View possesses an angular extent around that direction.


Viewing Angle

Viewing Angle is similarly ambiguous.

In one usage it identifies the direction in which an observer or instrument looks and is therefore synonymous with Line of Sight. In other contexts it can refer to Field of View, projection angle or the range of positions from which an optical display can be viewed effectively.

For a central directional axis, Line of Sight is consequently the less ambiguous term.


Sight Line

Sight Line is another common expression associated with the Line of Sight, but it has also acquired other meanings.

In its central-axis sense, a Sight Line defines the direction of look or projection and can correspond to the optical axis of an eye, camera or telescope.

However, the Dictionary also records a more general use in which an alignment or sight line connects visible or spatially related positions. For this reason, Line of Sight remains the preferred term when the central viewing direction is intended.


Optical Axis

Optical Axis is particularly important in cameras, lenses, telescopes and other optical instruments.

In ordinary perspective analysis, the principal optical axis can correspond broadly to the central Line of Sight of the instrument. The camera is directed along this axis towards the spatial scene.

The term is especially appropriate when analysing the optical structure of an instrument rather than merely describing where a human observer is looking.

Volume 1 uses the optical axis as an important camera and visual reference, while the Dictionary groups it with the Line of Sight family for general perspective analysis.


Visual Axis

Visual Axis is another closely related term used in visual and optical contexts.

For general perspective description, it can identify the principal visual direction extending from the observer towards the selected region of attention.

However, because terms concerning axes of the biological eye can acquire more specialised meanings in physiological optics, Line of Sight provides a more useful general term across graphical, photographic, optical and visual perspective.


Central Axis of Vision

The Central Axis of Vision identifies the principal directional axis of a central view.

The Dictionary treats it as a synonym for Line of Sight and relates it to both Visual Perspective Type 2 and graphical Linear Perspective.

It provides a useful geometrical expression when analysing the central organisation of a cone, pyramid or Field of View.


Central Visual Ray

The Central Visual Ray or Central Ray is another geometrical representation of the principal Line of Sight.

In the conventional linear-perspective arrangement it extends from the eye or station point towards the central region of the picture plane and into object space.

It should be distinguished from the many other visual or projection rays that connect individual points within the spatial scene to corresponding positions in the image.

There is one principal central direction, but a complete perspective view contains many individual rays associated with the many visible object points.


Line of Sight and Visual Rays

The Line of Sight should therefore not be confused with every Visual Ray within a perspective projection.

The Dictionary distinguishes a principal Visual Ray associated with the axis of the Cone of Vision from the many rays extending between individual object points and the eye or image-forming system.

Every visible point can possess its own directional ray towards the eye or centre of projection. Collectively, such rays form the geometrical structure of the pyramid or cone of sight.

The principal Line of Sight is the central or selected directional reference within that larger bundle of spatial directions.


Cone and Pyramid of Vision

The Cone of Vision or Pyramid of Vision represents the wider set of visual directions surrounding the Line of Sight.

The observer or station point forms the apex. Rays extending towards the limits of the selected field establish the sides or boundary of the cone or pyramid.

The Line of Sight forms its principal central axis in a conventional unified forward-looking view.

Thus:

  • Line of Sight = principal viewing direction;
  • Field of View = angular extent surrounding it; and
  • Cone or Pyramid of Vision = geometrical spatial representation of that directional field.

Line of Sight and the Picture Plane

The relationship between the Line of Sight and the Picture Plane is fundamental but should not be oversimplified.

In the standard central-perspective arrangement, the principal Line of Sight is commonly perpendicular to the picture plane. Its intersection with that plane establishes the Centre of Vision or Principal Point.

However, this perpendicular relationship describes a standard configuration rather than every possible perspective arrangement. The Dictionary explicitly distinguishes the Line of Sight from picture-plane orientation and allows graphical perspective arrangements in which the relevant planes can occupy different angular relationships.

The Line of Sight therefore identifies the viewing direction; the Picture Plane identifies the surface upon which the perspective image is considered, captured or constructed.


The Directing Plane

The Dictionary defines a Directing Plane as an imaginary plane passing through the observer’s eye and orthogonal to the Line of Sight.

This relationship is definitional: the Directing Plane is always perpendicular to the Line of Sight.

Whether the Directing Plane is also parallel to the Picture Plane depends upon the particular perspective arrangement.

In an ordinary camera arrangement, the sensor or film plane is normally perpendicular to the optical axis and is therefore parallel to the corresponding directing plane. In graphical perspective, however, the relationship between the directing and picture planes can be different.


Line of Sight in the Human Eye

For human vision, the Line of Sight identifies the direction towards which the observer is looking.

Natural vision is dynamic. The eyeballs rotate, the head turns and the body moves, continually changing the direction from which visual information is received.

Volume 1 emphasises that perceived visual direction cannot be explained by retinal position alone. The visual system must also take account of eye position, head and body orientation and other mechanisms that register retinal information relative to external space.

The experienced Direction of Vision is therefore related to, but more complex than, a simple fixed geometrical line drawn through an eyeball.


Moving the Eyes Changes the Line of Sight

Rotating the eye changes the direction towards which the central visual system is directed.

The point of fixation can consequently move vertically, horizontally or obliquely within the surrounding visual environment without the observer changing physical position.

The visual field is correspondingly reorganised around the new direction.

This demonstrates another important distinction: changing the Line of Sight is not necessarily the same as changing the viewpoint.


Moving the Head and Body

Turning the head or body can also change the overall viewing direction.

Unlike an isolated eye rotation, larger bodily movements can alter several spatial relationships simultaneously, including the orientation of the eyes, head and body relative to the surrounding environment.

Volume 1 therefore treats visual direction as part of a larger problem of spatial orientation, in which the observer must continually relate internal body axes to objects, directions and reference structures in the external world.


Line of Sight and Spatial Orientation

The Line of Sight is one of the fundamental directional relationships through which an observer becomes oriented within spatial reality.

Volume 1 describes the visual system as needing to:

  • identify where a visible object lies relative to the body;
  • maintain this directional relationship despite changes in eye, head or body position; and
  • judge directions and distances consistently across the Field of View.

Direction of Vision is therefore not merely a drawing convention. It is an important component of natural visual orientation.


Line of Sight in Camera Perspective

In Camera Perspective, the principal Line of Sight corresponds broadly to the optical or central axis along which the camera is directed.

Changing the camera’s position changes the viewpoint. Rotating or tilting the camera changes its viewing direction. Changing focal length primarily changes the Field of View and image scale for a fixed camera position.

These variables should therefore be kept analytically separate:

  • camera position;
  • Line of Sight or optical direction;
  • Field of View;
  • image-plane orientation; and
  • lens and imaging characteristics.

Line of Sight and Camera Tilt

Tilting a camera upwards or downwards changes its principal Line of Sight relative to the spatial scene.

If the camera image plane tilts with it, the relationship between that plane and the principal directions of the scene also changes. Vertical parallels that were formerly parallel to the image plane can then acquire a finite vanishing point.

The resulting convergence is therefore connected with the changing projection arrangement, not merely with the fact that the camera has a wide-angle lens.


Line of Sight in Central Perspective

Volume 1 defines Central Perspective as a unidirectional perspective form in which a scene or object is viewed along a single principal optical Line of Sight.

This produces a unified cone or pyramid of vision directed towards the spatial scene.

Central Perspective can include one-point, two-point and three-point arrangements when they remain parts of one coherent forward-facing view. The existence of a single principal Line of Sight therefore does not mean that the image can possess only one vanishing point.

This is an important distinction between central viewing direction and vanishing-point structure.


Line of Sight in Linear Perspective

A linear-perspective construction normally establishes a fixed station point and a selected direction of view.

The Line of Sight helps orient the overall view and establishes the central directional relationship between the observer and the selected spatial field.

Individual families of parallel lines within the scene, however, can extend in many different spatial directions. Their vanishing points are determined by those directions, rather than every line being governed by the Line of Sight itself.

The Line of Sight is therefore a viewing direction and should not be mistaken for a universal direction shared by all receding lines in a perspective image.


Line of Sight and One-Point Perspective

One-point perspective provides a particularly simple special case.

When the observer looks directly along the direction of one principal family of spatial parallels — such as looking straight along the length of a road or corridor — that parallel system can converge towards the central vanishing point directly ahead.

In this arrangement, the relevant spatial direction is aligned with the Line of Sight.

This special coincidence is one reason the Line of Sight can easily be mistaken for the general cause of all perspective convergence. In more general one-, two-, three- and multi-point arrangements, parallel systems can have many other directions and corresponding vanishing points.


The Visual Element of a System of Parallel Lines

The Dictionary introduces the important concept of the Visual Element of a System of Parallel Lines.

When an observer looks directly along one element of a system of parallel lines, the line or corresponding imaginary parallel direction along which the observer sights can be regarded as the Visual Element of the System.

The other parallel elements of that directional system converge towards the vanishing point associated with the infinite extension of that direction.

The Visual Element is therefore associated with a particular system of parallels. The observer’s Line of Sight is instead the observer’s principal direction of look.

In a special arrangement these directions may coincide. They should nevertheless remain conceptually distinguishable because the Line of Sight belongs to the viewing system, while the Visual Element belongs to the directional organisation of a particular system of parallels.


The Visual Element Can Be Off-Centre

The Dictionary makes a particularly important point: the Visual Element of a system may be parallel to the observer’s Line of Sight while occupying another spatial position.

It can therefore lie away from the central axis of the view — for example, towards one side or corner — while retaining the same directional orientation.

This demonstrates why direction and spatial position must be distinguished. Two parallel lines can define the same direction without being the same physical or geometrical line.


Line of Sight and Vanishing Points

The Line of Sight has an important but limited relationship to vanishing points.

If a family of parallel spatial lines extends in exactly the same direction as the Line of Sight, its vanishing point lies along that viewing direction. In the familiar one-point arrangement this produces the central or principal vanishing point.

But most spatial directions need not coincide with the Line of Sight. Parallel lines extending obliquely through space possess their own directional vanishing points.

A single perspective view can therefore have one Line of Sight but potentially many vanishing points.


Central Vanishing Point

In the conventional one-point configuration, the principal family of parallel lines extends directly away from the observer along the central viewing direction and converges towards a Central or Principal Vanishing Point.

The central vanishing point can therefore coincide with the central directional structure of the view under this particular arrangement.

This relationship should not be generalised to claim that every vanishing point lies upon the Line of Sight. Other directional families possess other vanishing points.


Centre of Vision and Principal Point

Where the principal Line of Sight intersects the conventional picture plane, the resulting point is commonly called the Centre of Vision or Principal Point.

This point identifies the intersection of the viewing axis with the image plane.

It should not automatically be confused with:

  • the physical centre of the canvas or image;
  • every vanishing point;
  • the station point; or
  • the centre of every object depicted in the scene.

These may coincide in a specially arranged image but they describe different geometrical concepts.


The Line of Sight Does Not Have to Pass Through the Physical Centre of the Picture

The geometrical centre of a picture surface and the represented Centre of Vision are not necessarily the same location.

A view can be framed asymmetrically, cropped or arranged so that the principal direction lies away from the physical centre of the displayed image.

The Line of Sight should therefore be defined by the viewing and projection geometry rather than simply by drawing a line through the middle of a rectangular image.


Horizontal Line of Sight

A horizontal Line of Sight occurs when the observer or camera looks horizontally through space.

This arrangement is common in elementary perspective explanations because it produces a comparatively simple relationship between eye level, ground plane, horizon and central direction.

However, a horizontal Line of Sight is only one possible orientation and should not be mistaken for a universal condition of perspective.


Inclined and Declined Lines of Sight

The Line of Sight may be inclined upwards or declined downwards.

An upward-looking view changes the angular relationship between the observer, scene and image or projection surfaces. A downward-looking view creates a corresponding but opposite relationship.

Such changes can affect the apparent position, orientation and vanishing behaviour of spatial structures represented within the view.

The fact that the Line of Sight can be inclined is particularly important in distinguishing a general theory of perspective from the simplified level-eye arrangements often used in introductory drawing instruction.


Line of Sight and the Horizon

The relationship between Line of Sight and horizon depends upon the particular spatial and projection arrangement.

In the familiar level-view linear-perspective configuration, the observer looks horizontally and the geometrical horizon line lies at eye level.

If the viewing arrangement changes, the resulting position of the horizon within the image can also change.

The Line of Sight and Horizon Line are consequently related components of a perspective system but they are not synonymous.


Line of Sight and Foreshortening

The apparent extent of a spatial dimension depends partly upon its orientation relative to the viewing direction.

A long object viewed broadside can reveal much of its length across the visual field. As its principal axis becomes increasingly aligned with the Line of Sight, its projected length can become strongly compressed.

This forms part of Aspect Foreshortening.

The Line of Sight is therefore an important reference for analysing how object orientation influences apparent Form.


Line of Sight and Aspect of View

Aspect of View changes when the relationship between the viewing direction and the spatial Form changes.

A cube, building, face, vehicle or other object can reveal very different projected Forms when viewed from different directions even if the viewing distance remains approximately unchanged.

Rotating the Line of Sight relative to a fixed object therefore changes the apparent aspect without necessarily changing the position of the observer.


Line of Sight and Distance

A Line of Sight identifies direction but does not, by itself, specify distance.

Many different object points can lie along the same directional line at different distances from the observer.

This distinction is fundamental to visual and spatial perception. Direction tells us where to look; additional perspective and depth information is required to determine how far away an object lies.


Direct Line of Sight

Direct Line of Sight is recorded in the Dictionary as a synonym for the preferred term Line of Sight.

The expression can be useful where it is necessary to emphasise an unobstructed or principal direction between observer and object, but it does not require a separate general perspective concept.


Line of Direction

The Dictionary also records Line of Direction as another historical or technical synonym.

It is defined as a line through the eye or station point along the central axis of vision that establishes the viewing direction or viewing angle.

Again, the preferred general expression is Line of Sight.


Line of Projection

Line of Projection also appears within historical perspective terminology.

Its usage can overlap with Direction of Vision or the Line of Sight, particularly within graphical perspective construction.

However, the expression projection line can also refer more generally to individual rays or construction lines linking spatial objects to their projected image positions. The two uses should therefore be distinguished from one another.


Centre Line of Vision

The Centre Line of Vision is another name for the principal Direction of Vision in a conventional central view.

It extends from the station point towards the selected centre of attention or central region of the scene.

In elementary level one-point perspective this line is commonly represented as parallel to the horizontal ground plane, but that arrangement should not be generalised to every possible Line of Sight.


Line of Sight in Multi-View Perspective

A single unified perspective view normally employs one principal viewing direction.

A Multi-View Perspective can instead combine images or regions generated from two or more viewing directions.

Such images may therefore contain multiple Lines of Sight, separate central axes or differently organised Fields of View within one larger representation.

This distinguishes the unidirectional organisation of Central Perspective from multidirectional or multi-view forms of perspective.


Line of Sight in Panoramic and Spherical Perspective

Panoramic, cylindrical and spherical perspective complicate the idea of one permanently fixed central Line of Sight because the represented Field of View can extend across many directions around the observer.

A spherical or 360-degree representation may encompass directions in front, beside and behind the original observer.

Individual viewing directions can still be defined, but the total perspective image is no longer organised solely around one narrow forward-looking axis in the manner of ordinary Central Perspective.


Line of Sight in Computer Perspective

A virtual camera within a computer model similarly possesses a location, orientation and Field of View.

Its central viewing direction performs the same broad geometrical function as the Line of Sight or optical axis of a physical camera.

Changing virtual-camera orientation changes the represented direction without necessarily changing the position of the simulated camera.

The surrounding viewing frustum then defines the wider Field of View contained within the rendered image.


Line of Sight in Looking-At and Looking-Around Perspective

The concept becomes particularly useful when distinguishing between looking towards a selected object or scene and looking around a wider surrounding environment.

A conventional central view is predominantly a looking-at arrangement organised around one main direction.

Panoramic, cylindrical and spherical forms can instead represent progressively larger changes of viewing direction and may approach a looking-around representation of the surrounding spatial environment.

Thus the importance of one central Line of Sight depends partly upon the observation mode and perspective form being considered.


Line of Sight and the Observer’s Centre of Interest

The principal viewing direction is frequently aimed towards a selected centre of interest or point of fixation.

This can place the visually important object near the central region of the Field of View, but the centre of interest is not necessarily a permanent geometrical property of the spatial scene.

The observer can redirect the Line of Sight towards another object without changing the underlying spatial environment.


Line of Sight Is Relational

The Line of Sight is not an intrinsic property of the object being viewed.

It describes a directional relationship between an observer or imaging system and the selected spatial scene.

Moving the observer, rotating the eye or camera, turning the object or changing the direction of attention can therefore alter the relevant viewing relationship.

Like viewpoint, Field of View and projection surface, the Line of Sight must be understood as one component of the complete perspective system.


Why the Line of Sight Matters

The Line of Sight matters because every organised perspective view requires some relationship between where the observer is and the direction towards which the observer or imaging system is directed.

It helps define the central organisation of Visual Perspective, Camera Perspective, Instrument Perspective and Central or Linear Perspective. It also provides a reference for analysing Field of View, object aspect, foreshortening, picture-plane geometry, the Cone or Pyramid of Vision and the organisation of vanishing directions.

At the same time, the Line of Sight must not be made to perform functions that belong to other perspective elements. It does not by itself determine every vanishing point, does not define the complete Field of View, does not specify object distance and is not necessarily identical to the directional structure of every system of parallel lines in the scene.

Understanding the Line of Sight therefore provides a foundation for understanding Direction of Vision, Optical Axis, Visual Axis, Central Axis of Vision, Central Visual Ray, Visual Element of a System, Station Point, Centre of Projection, Picture Plane, Directing Plane, Centre of Vision, Principal Point, Field of View, Cone of Vision, Pyramid of Vision, Aspect of View, Foreshortening, Vanishing Points, Central Perspective, Linear Perspective, Camera Perspective, Multi-View Perspective and Spherical Perspective.


Common Misconceptions about the Line of Sight

  • Line of Sight is not the same as Field of View. One is a direction; the other is an angular field surrounding one or more directions.
  • Line of Sight is not the same as viewpoint. The viewpoint establishes position; the Line of Sight establishes direction.
  • Changing the Line of Sight does not necessarily require moving the observer. The eye, head or camera can rotate from the same location.
  • A single principal Line of Sight does not imply one-point perspective. Central Perspective can include one-, two- and three-point arrangements.
  • Not every vanishing point lies on the Line of Sight. Different systems of spatial parallels possess different directional vanishing points.
  • The one-point arrangement is a special case. A principal family of parallels can be aligned with the Line of Sight and therefore vanish centrally.
  • The Line of Sight is not every Visual Ray. Numerous rays connect individual scene points with the eye or projection centre.
  • The Line of Sight does not by itself specify distance. Multiple spatial points can lie in the same direction at different distances.
  • Line of Sight and Picture Plane are different elements. One specifies viewing direction; the other specifies an image or representational surface.
  • The Line of Sight need not always be horizontal. It may be level, inclined, declined or otherwise directed.
  • Optical Axis is a closely related but particularly instrument-oriented term. Line of Sight remains the preferred general perspective term.
  • Sight Line can have more than one meaning. Line of Sight is therefore preferable for the principal viewing direction.
  • The Visual Element of a System of Parallel Lines and the observer’s Line of Sight are related but not universally identical. The Visual Element belongs to a particular system of parallels and can be parallel to the Line of Sight while occupying another position.