Perspective
Research Centre
A New Understanding of Perspective
Vision, Space, Illusion and Immersion
PRC books and exclusive manuscripts.
Perspective
Discover what perspective is—its history, principles, phenomena and applications.
Explore Perspective →
Research
Research programmes in perspective and the work of Kim H. Veltman.
Our Research →
Library & Archives
A 5,000-book specialist library, including the rare 700-volume Leonardo da Vinci Library.
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Knowledge Systems
Digital tools for research: UKS, Dictionary, Bibliography, Encyclopaedia and more.
Digital Systems →
Publications
Books and major research publications by Alan S. Radley and Kim H. Veltman.
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Learn
Tutorials, guides and learning resources for students, educators and professionals.
Start Learning →Navigation Map of Perspective
Perspective Category Theory organises the many kinds and relationships of perspective using seven analytical levels—Category, Class, Type, Form, Phenomenon, Function and Product—and classifies c. 1,200 named types and forms across art, science and technology.
Explore perspective —
click any box →
Who This Site Is For — and Why
For anyone seeking to understand, teach, research or apply perspective — from students and educators to artists, architects, designers, photographers, filmmakers and scientists, practitioners and researchers in related fields.
Perspective is fundamental to human vision and to photographic, digital and computational imaging. It is present across every class of image and view—real or represented, moving or still, 2-D or 3-D—from natural scenes and architecture to photography, cinema, computer graphics, virtual environments and AI-generated imagery. Perspective underpins art, science, technology and the modern technologies of vision.
Perspective links art, science, technology, vision and visual culture through a single field of knowledge.
— Kim H. Veltman
Perspective Category Theory provides a systematic framework for organising and comparing the many kinds and relationships of perspective across art, science and technology. PRC research identifies approximately 1,200 named types and forms across seven analytical levels: Category, Class, Type, Form, Phenomenon, Function and Product.
Who This Site Is For — and Why
For anyone seeking to understand, teach, research or apply perspective — from students and educators to artists, architects, designers, photographers, filmmakers and scientists, practitioners and researchers in related fields.
Perspective is fundamental to human vision and to photographic, digital and computational imaging. It is present across every class of image and view—real or represented, moving or still, 2-D or 3-D—from natural scenes and architecture to photography, cinema, computer graphics, virtual environments and AI-generated imagery. Perspective underpins art, science, technology and the modern technologies of vision.
Explore the map below by selecting any box →
PRC Mission Statement
Establishing perspective as a distinct field
Perspective involves viewing, representing and transforming space, from natural vision and imaging to illusion and immersive environments. Yet its principles remain technically complex and only partly understood.
PRC brings together research across art, science and technology to address three connected problems:
TERMINOLOGY PROBLEM
Different disciplines use conflicting or overlapping terms. The Dictionary of Perspective clarifies their meanings and relationships.
COMPLEXITY PROBLEM
Perspective images can combine optical, visual and spatial effects. Perspective Category Theory provides a framework for separating and relating them.
CLASSIFICATION PROBLEM
Perspective extends far beyond drawing. PRC identifies and organises approximately 1,200 named types and forms across vision, imaging and spatial representation.
PRC’S APPROACH
Through original research, specialist collections and digital knowledge systems, PRC develops a connected framework for studying perspective across art, science and technology.
Dr Alan Stuart Radley FRSA — Founder and Research Director
Learn more about PRC →
Salvator Mundi (“Savior of the World”) is a painting attributed in whole or part to Leonardo da Vinci, dated c. 1499–1510.
In the painting, perspective is combined with Leonardo’s investigations of vision, light and optics.
Professor Martin Kemp identifies the transparent orb as rock crystal, arguing that Leonardo selectively controlled refraction so it did not disrupt the devotional image — what Kemp calls “pictorial good manners.”
Leonardo da Vinci (1452–1519) extended perspective beyond drawing into the study of vision and spatial representation, connecting optics, geometry, light and visual perception.
research across more than 180
libraries and major
historical collections.
Hubs, Indexes & Catalogues
Theory Hubs
Catalogues
“Perspective serves to build bridges between geometry and nature.”
“The central goal of perspective is visual knowledge.”
What Deeper Knowledge Can Do for You
What is perspective?
Perspective is the systematic viewing, imaging, measurement, representation, construction and transformation of three-dimensional spatial reality and appearance. It includes natural and visual perspective—how the world appears to us—and artificial perspective—how spatial relationships are recorded, projected, constructed, transformed or simulated in images, structures and environments, including illusion and immersion.
Perspective is fundamental to how we see, represent and understand the spatial world. PRC has studied the field full-time for over 50 years, developing knowledge to help interpret appearances, question assumptions and explore new possibilities.
“I already understand perspective.”
Drawing, painting or photography provides a valuable starting point, but perspective extends into vision, optics, scientific imaging and virtual environments. Bringing together knowledge scattered across disciplines or overlooked in mainstream teaching can fill gaps, answer longstanding questions and help you develop new approaches in your work.
You may apply perspective in your daily work, but how deep and broad is your knowledge?
Can you explain why the world appears as it does? Can you use perspective in new and surprising ways?
“Perspective presides over all the functions and delights of the eye, with varied speculation…
Perspective, therefore, must be preferred to all the discourses and systems of human learning.
In this branch [of science] the beam of light is explained on those methods of demonstration which form the glory not so much of Mathematics as of Physics and are graced with flowers of both.”
“Perspective ‘creates’ a systematic space—it creates room for bodies to expand plastically, and to move gesturally; it enables light to spread out in space!”
10 BASIC QUESTIONS ON PERSPECTIVE
| No. | Basic perspective question | Brief answer | Optical / visual effects |
|---|---|---|---|
| 1 | Is perspective type the same as form? | No. Type identifies the method or process; form identifies the resulting appearance. | A drawing and a photograph can both exhibit a linear perspective form. |
| 2 | What are perspective’s two directions? | Viewing or imaging forms images; projecting sends light or representations into space. | A camera captures a scene; a projector casts an image onto a screen. |
| 3 | Can several processes contribute to one image? | Yes. Category chaining links image formation, processing, display and viewing. | Cinema combines camera capture, digital processing, projection and viewing; each stage can alter appearance. |
| 4 | Is zooming equivalent to moving closer? | No. Lens or digital zoom changes scale or framing; moving changes perspective geometry. | Moving changes relative object sizes and overlaps. Zooming from the same viewpoint preserves these relationships. |
| 5 | Can viewing and projecting work together? | Yes. Mixed perspective combines both directional classes: viewing or imaging, and projecting. | Cinema combines camera capture, screen projection and audience viewing. |
| 6 | Can different spatial arrangements appear unified? | Yes. Blended scene perspective unifies different spatial geometries from a suitable viewpoint. | From a fixed viewpoint, an Ames room makes distorted geometry appear normal, so equal-height people seem different in size as they move. |
| 7 | Is looking around equivalent to circling an object? | No. Sphere of Vision Perspective looks outward; Sphere of Revolution Perspective views around an object. | One reveals surrounding space; the other reveals different sides of an object. |
| 8 | Do angle and distance cause identical foreshortening? | No. Aspect foreshortening depends on viewing angle; optical foreshortening on distance, with nearer parts appearing larger. Both may occur together. | A tilted surface appears compressed; receding features become smaller with distance. |
| 9 | Is geometrical vanishing the same as disappearing? | No. Geometrical vanishing concerns projection limits; optical vanishing concerns loss of visible detail. | Forms converge toward a geometrical limit; distant details may disappear while the larger form remains visible. |
| 10 | Can observation scale change apparent shape? | Yes. Apparent shape and form can change with scale; the scale / shape / size problem links scale and resolution to visible form and measured size. | A pebble may look smooth yet reveal irregular contours under magnification; finer contours increase its measured perimeter. |
How many of these 10 basic questions can you confidently answer? Many more could be asked.
Their answers can inform your work and deepen understanding. These are only a sample of over 200 new concepts developed to classify visual, optical and geometric processes and outcomes in relation to spatial reality. Perspective Category Theory brings these concepts together into an interconnected body of knowledge that can change how we understand images and views of the spatial world.
“Why is this so complicated?”
Perspective is complex because light, geometry, viewpoint, instruments and perception operate together, producing effects that are difficult to separate. Careful explanations identify the responsible process, when a principle applies and why similar images behave differently. Progress at your own pace, from familiar experiences towards deeper theory relevant to your interests or work.
“What will I gain?”
Gain confidence in interpreting images, understanding spatial appearances and choosing methods of representation. This knowledge helps you draw and photograph deliberately, assess what images reveal or obscure, measure and model space, and create convincing illusions or immersive environments. It also helps you recognise misleading assumptions and explain puzzling visual effects.
These resources deepen your understanding of vision and spatial reality, expanding what you can observe, explain and create. Greater knowledge of perspective—its principles, types and forms, methods, systems, instruments and visual outcomes—can make the visual world more intelligible and engaging, while opening up a wider range of visual solutions to practical and everyday problems.
A FINAL NOTE
You do not need to master or remember every kind of perspective presented across this site. PRC identifies approximately 1,200 named types and forms, but simply understanding the breadth of the subject, its relationships and its unanswered questions can deepen understanding.
Our purpose is not to make perspective more complicated, but to make an already complex subject clearer. We do not claim to have all the answers, but aim to identify important questions and provide frameworks for further exploration. The PRC Dictionary and Bibliography offer structured routes into the field’s terminology, concepts and literature.
“Those who are in love with practice without knowledge are like the sailor who gets into a ship without rudder or compass and who never can be certain where he is going. Practice must be grounded in sound theory, and to this Perspective is the guide and the gateway; and without this nothing can be done well in the matter of drawing.”
“Perspective can be defined as the geometry of the ways in which light specifies the world of surfaces from which light is reflected! Linear perspective of the classical sort would only be one small part of it, for that is merely the perspective of the edges of rectangular objects!”
“Perspective is a 3-D experimental sandbox for the mind—allowing us to visualise all of the (spatial) possibilities!”
The Dictionary of Perspective: A New Theory of Visual Knowledge
share a vanishing system: Combined Perspective.
Circle of Vision Perspective
Curvilinear Perspective Panorama
Multi-View Mirror Perspective
Blended Perspective — Physical and Digital Space
Introducing the Dictionary of Perspective
The Dictionary of Perspective provides a connected reference for identifying perspective methods, understanding visual phenomena and distinguishing terms whose meanings differ across disciplines.
With more than 4,000 terms and approximately 1,200 types and forms of perspective, it helps readers identify unfamiliar concepts, distinguish related meanings and understand relationships between different perspective systems.
What it contains
- Natural and visual perception — viewpoint, depth, scale, form and appearance.
- Optics and imaging — lenses, cameras, mirrors, reflection, refraction and image formation.
- Geometry and representation — linear perspective, parallel projection and graphical construction.
- Architecture, art and design — drawing, painting, built environments and visual communication.
- Photography, cinema and visual effects — camera perspective, animation and constructed realities.
- Computer graphics and digital worlds — CGI, computer vision, AI imagery, VR, AR and immersion.
- Scientific and technical imaging — measurement, modelling, mapping, visualisation and instruments.
How readers can use it
Look up a term to clarify its meaning, distinguish it from similar concepts and understand how it is used in different contexts.
Compare types and forms of perspective to investigate the methods, spatial relationships and visual effects involved in a view, image or constructed environment.
Explore connections between familiar techniques and less familiar phenomena, using the Dictionary’s classifications to organise questions and pursue further study. For students, educators, artists and researchers, it provides a shared vocabulary for describing examples, analysing images and explaining perspective more precisely.
An essential resource for those seeking enlightenment on the vast,
intricate, and fascinating subject of perspective.
The Many Worlds of Perspective
Explore Perspective
New to Perspective?
Start with the basic definitions, history and core concepts of perspective.
Start with the Basics →Perspective Theory & Concepts Catalogue
Explore the theories, concepts, principles and classifications that structure the field of perspective.
Browse Theory & Concepts →Applications of Perspective Catalogue
See how perspective is used across art, architecture, science, technology and other fields.
Browse Applications →Common Errors & Misconceptions
Explore recurring historical and technical errors in teaching, textbooks and explanations of perspective.
Errors & Misconceptions →People in Perspective Catalogue
Discover key figures, researchers, artists and thinkers in the history and development of perspective.
Browse People →Timeline of Perspective Developments
Follow key developments, people and milestones across the history and development of perspective.
View the Timeline →Films & Lectures
Explore selected films, documentaries and recorded lectures on perspective and related subjects.
View Films & Lectures →Tutorials & Guides
Practical guides and tutorials for learning and applying perspective.
Explore Tutorials & Guides →Featured Projects & Resources
Explore All Projects & Resources →
Leonardo da Vinci Studies
Kim H. Veltman’s multi-decade research on Leonardo’s perspective, optics, vision and astronomy, including extensive unpublished and archival material.
His studies examine how Leonardo connected drawing, geometry, visual perception and light within Renaissance knowledge. PRC preserves this research through the Kim Veltman Archive and its Leonardo collections.
View Project →
Alphabets of Life
A major interdisciplinary project by Kim H. Veltman exploring alphabets, signs, symbols, knowledge systems and cultural information across periods and cultures.
It examines how notation, language, image and symbolic representation have shaped the organisation and transmission of knowledge, from historical writing systems and visual symbolism to modern digital culture.
Read Book in Digital Viewer →
Encyclopaedia of Perspective
Kim H. Veltman’s eight-volume, approximately three-million-word Encyclopaedia of Perspective brings together sources, bibliography and research across art, science and technology.
It traces perspective through optics, geometry, architecture, visual representation, instruments and imaging technologies, revealing a field extending far beyond conventional linear perspective.
Explore the Encyclopaedia →Recent Research & Updates
Tutorials, guides and learning resources for students, educators and professionals.
New archival scans clarify how Veltman’s Leonardo studies changed from one large optics project into multiple substantive volumes.
Reader interaction, Digital Library search and multi-context research continue to be integrated across PRC.
Perspective Today
A new understanding of what perspective is, how it operates,
and why it matters across the visual arts, sciences and technologies.
The Art and Science of Perspective
The Art and Science of Perspective is a multi-volume series tracing visual and optical perspective from antiquity to the digital age. It brings together historical research, technical explanations, visual phenomena and new theoretical concepts.
The series examines both natural perspective—how spatial reality appears to vision—and artificial perspective—how it is captured, projected, constructed and transformed. Its applications range from drawing and photography to scientific imaging, computer graphics and immersive environments.
The Past, Present and Future of Visual and Optical Perspective
Second Edition
A wide-ranging introduction to the history, theory, applications and future possibilities of visual and optical perspective.
Large-format 8.5 × 11-inch paperback
US$27.99
Dictionary of Perspective
Second Edition
The first comprehensive dictionary and taxonomy devoted specifically to visual and optical perspective.
Approximately 1,200 types and forms
More than 350,000 words · 590 pages
Large-format 8.5 × 11-inch paperback
US$34.99
Natural and Visual Perspective
Forthcoming First Edition
A new account of how spatial reality gives rise to natural appearance—and how natural appearance becomes human visual experience.
Large-format 8.5 × 11-inch paperback
Expected Price: US$27.99
Featured Perspective Researchers
Tomás García-Salgado
Architect · perspective researcherExplore Modular Perspective, reverse outlining and methods for reconstructing spatial relationships from perspective images.
Modular Perspective → Perspective Geometry →
Dick Termes
Artist · spherical perspectiveArtist and creator of the Termesphere, using six-point spherical perspective to represent complete surrounding environments.
Explore Termespheres →
David Chelsea
Artist · author · perspective teacherArtist, author and teacher known for practical, curvilinear and experimental approaches to perspective.
Explore David Chelsea →Conclusion: Perspective as Visual Knowledge
GEOMETRY AND PHYSICAL REALITY
Perspective connects geometry with physical reality. Kim H. Veltman described linear perspective as a meeting point between geometry and nature, linking the ideal with the actual. Its broader purpose is visual knowledge: helping us observe, measure, model and interpret the relationship between the world, its appearance and its representation.
Linear perspective allows us to organise successive planes or spatial layers within an image, conveying information from several layers at once wherever nearer elements do not obscure those behind them. It also supports model-making: reducing complex objects to essential lines and geometrical relationships. In Veltman’s account, these models connect abstract geometry with physical things, helping us describe and classify the natural world.
A CONNECTED FIELD OF KNOWLEDGE
Perspective therefore extends far beyond drawing. Across Western and non-Western traditions, it contributes to understanding how the world is seen, represented and transformed. Its development across art, optics, geometry, vision, architecture, photography, cinema, cartography, computer graphics and scientific imaging has produced many specialised methods and theories. These are often studied separately, although their principles, phenomena and applications are deeply connected.
Many of these connections remain only partly understood. What is needed is an overarching framework that relates methods across disciplines while preserving their differences. This would help us distinguish visual effects, compare explanations and understand how different forms of perspective operate together.
The Perspective Research Centre brings these strands together through Perspective Category Theory, the Dictionary of Perspective, specialist collections, original research and digital knowledge systems. It investigates complexities and unanswered questions while developing clearer explanations and a connected framework. PRC seeks to make perspective coherent, navigable and intelligible as a distinct field, establishing a case for its study and teaching in its own right.
WHY THIS RESEARCH MATTERS
This research matters because clearer understanding makes more precise analysis, comparison and communication possible. It helps readers identify the methods behind an image, relate visual appearances to spatial arrangements, and apply knowledge from one discipline to another. Connecting previously separate approaches can also reveal unanswered questions and open possibilities for teaching, research and practical innovation.
Perspective enables us both to understand reality and to construct new appearances, physical structures and spatial experiences. Its applications span observation, drawing, photography, cinema, scientific imaging, simulation, illusion, immersive environments, virtual and augmented reality, computer graphics and artificial intelligence. It helps us interpret existing visual worlds and create new ones.
Perspective remains central to modern visual technologies. Its importance grows as images, simulations, spatial data and immersive environments play larger roles in research, communication and everyday life. With a rich past and an active present, perspective continues to shape developments across art, science, engineering and technology—a foundation for visual knowledge and future innovation.
— Alan S. Radley, Director, Perspective Research Centre
Natural + Artificial Image Content
Conferences, Symposia & Workshops
ALAIPO is an international non-profit association for researchers, students, teachers and professionals in Human–Computer Interaction and qualitative communication.
ALAIPO Conferences → AINCI Conferences →“Leonardo was the first to demonstrate quantitatively the laws of linear perspective… he discovered that (linear) perspective is governed by a simple inverse size/distance law… and he demonstrated that… perspective served as a universal alphabet of idealised geometrical forms. And these abstract, idealised forms were, in turn, related back to idealised, real objects thus making the bridge between geometry and the natural world.”
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