Questions surrounding the degree of correspondence with reality, and the inherent limitation(s) in this respect of perspective views/images are much debated. In a sense, there is no single ‘optical reality’; because each perspective image involves unique visual, optical, geometrical, and (often) psychological factors such that particular solutions are required.
Linear Perspective
Perspective is complex as it reconciles 3-D physical space with 2-D visual/represented space. Achieving perfect equality is often difficult because there is no 1:1 correspondence among the dimensions involved. Patently, information may be lost in this process due to the inherent optical limitations of a single point of view, plus aspect of form changes and scale/size relations, resulting in reduced (or concealed/confused) visual information structures/details. Overcoming aspects of this geometric correspondence—or equivalence—problem is a key ‘goal’ of visual/optical/technical perspective.
The ‘correspondence or equivalence problem’ of linear perspective; refers to the fact that for a 2-D monocular image of a 3-D object projected onto an image plane (or 2-D surface), the projection does not contain adequate information to unambiguously identify the 3-D object form/position; whereby many differently shaped/located 3-D objects can potentially produce the very same image form.
To help solve this problem, we employ contextual factors, including often a metric grid or framework structure.
Solutions to Correspondence Problem
Certain kinds of perspective, for example, multi-view parallel perspective, can provide a partial solution to the correspondence problem (reconciling object/image equivalency). However, no monocular ‘convergent or parallel’ perspective can entirely sidestep the problem of scale—because any increase in projection scale/resolution reveals new structural details and thus apparent shape/ size changes in the perspective image.
Using monocular perspective to view/image an unspecified spatial reality with wholly uncertain geometry, one cannot unambiguously identify the source spatial object/scene geometry—without adequate knowledge of key perspective method facets (ref. known viewpoint, standard picture-plane geometry, recognised objects, established metric grid, manifest projection scale/resolution, etc).
In a way, a graphical perspective method such as linear perspective is a quantitative construction of space—whereby we employ pre-determined knowledge of spatial forms—or use of known, often designed, and regular scene geometry.
Explore Theory
Explore the principal theories, classifications, types, forms, geometries, spatial concepts and visual phenomena of perspective.
Theory Hubs
Foundations of Perspective Theory · Perspective Category Theory & Classification · Perspective Types and Forms · Perspective Geometry & Projection · Vanishing, Horizons & Directional Reference · Form, Space & Perspective Images · Perspective Phenomena, Vision & Problems · Advanced & Additional Perspective Concepts
Foundations & Classification
Theory of Perspective · Functions of Perspective · Perspective Process · Perspective Principle · Perspective System · Perspective Category Theory · Perspective Category · Perspective Type · Categorical Ambiguity · Combined Perspective
Perspective Types & Forms
Types of Perspective · Central Perspective · Parallel Perspective · Linear Perspective · Curvilinear Perspective · Axonometric Perspective · Camera Perspective · Digital Perspective · Artificial Perspective · 360-Degree Perspective · Panoramic Perspective
Geometry, Vanishing & Spatial Reference
Perspective Projection · Perspective Geometry · Projective Transformation · Picture Plane · Station Point · Vanishing Point · Horizon Line · Viewpoint · Vanishing Structures · Optical Versus Geometrical Vanishing
Form, Space & Perspective Images
Perspective and 3-D Space · Object Space · Image Space · Perspective Image / View · Optical Image Chain · Linear Perspective Images · Perspective Product
Vision, Phenomena & Problems
Perspective Phenomena · Foreshortening · Depth Cues · Field of View · Binocular Vision · Scale–Shape–Size Problem · Equivalence / Correspondence Problem · Perspective and Illusion · Perspective and Spatial Immersion
Further reference:
Abridged Dictionary of Perspective ·
Perspective Research Centre
Explore Applications
Main Applications routes:
Applications of Perspective ·
Spatial Themes ·
Instruments of Perspective ·
Applications by Discipline ·
Perspective Studies Today
Major discipline hubs:
Art and Perspective ·
Architecture and the Built Environment ·
Photography ·
Cinema, Television and Visual Effects ·
Computer Graphics, Games and Extended Reality ·
Cartography, GIS and Spatial Mapping ·
Science, Engineering and Technical Imaging ·
Medical Imaging ·
Perspective in Professional Practice
Explore Applications
Main Applications routes:
Applications of Perspective ·
Spatial Themes ·
Instruments of Perspective ·
Applications by Discipline ·
Perspective Studies Today
Major discipline hubs:
Art and Perspective ·
Architecture and the Built Environment ·
Photography ·
Cinema, Television and Visual Effects ·
Computer Graphics, Games and Extended Reality ·
Cartography, GIS and Spatial Mapping ·
Science, Engineering and Technical Imaging ·
Medical Imaging ·
Perspective in Professional Practice
Explore Theory
Explore the principal theories, classifications, types, forms, geometries, spatial concepts and visual phenomena of perspective.
Theory Hubs
Foundations of Perspective Theory · Perspective Category Theory & Classification · Perspective Types and Forms · Perspective Geometry & Projection · Vanishing, Horizons & Directional Reference · Form, Space & Perspective Images · Perspective Phenomena, Vision & Problems · Advanced & Additional Perspective Concepts
Foundations & Classification
Theory of Perspective · Functions of Perspective · Perspective Process · Perspective Principle · Perspective System · Perspective Category Theory · Perspective Category · Perspective Type · Categorical Ambiguity · Combined Perspective
Perspective Types & Forms
Types of Perspective · Central Perspective · Parallel Perspective · Linear Perspective · Curvilinear Perspective · Axonometric Perspective · Camera Perspective · Digital Perspective · Artificial Perspective · 360-Degree Perspective · Panoramic Perspective
Geometry, Vanishing & Spatial Reference
Perspective Projection · Perspective Geometry · Projective Transformation · Picture Plane · Station Point · Vanishing Point · Horizon Line · Viewpoint · Vanishing Structures · Optical Versus Geometrical Vanishing
Form, Space & Perspective Images
Perspective and 3-D Space · Object Space · Image Space · Perspective Image / View · Optical Image Chain · Linear Perspective Images · Perspective Product
Vision, Phenomena & Problems
Perspective Phenomena · Foreshortening · Depth Cues · Field of View · Binocular Vision · Scale–Shape–Size Problem · Equivalence / Correspondence Problem · Perspective and Illusion · Perspective and Spatial Immersion
Further reference:
Abridged Dictionary of Perspective ·
Perspective Research Centre