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Integral imaging

Integral imaging is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Integral imaging rather than just read about it. In short: Integral imaging is a three-dimensional imaging technique that captures and reproduces a light field by using a two-dimensional array of microlenses (or lenslets), sometimes called a fly's-eye lens, normally without the aid of a larger overall objective or viewing lens. In capture mode, in which a film or detector is coupled to the microlens array, each microlens allows an image of the subject as seen from the viewp…

Key takeaways

  • Integral imaging belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Integral imaging to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Integral imaging from memory before moving on to harder problems.

Reference excerpt

Integral imaging is a three-dimensional imaging technique that captures and reproduces a light field by using a two-dimensional array of microlenses (or lenslets), sometimes called a fly's-eye lens, normally without the aid of a larger overall objective or viewing lens. In capture mode, in which a film or detector is coupled to the microlens array, each microlens allows an image of the subject as seen from the viewpoint of that lens's location to be acquired. In reproduction mode, in which an object or source array is coupled to the microlens array, each microlens allows each observing eye to see only the area of the associated micro-image containing the portion of the subject that would have been visible through that space from that eye's location. The optical geometry can perhaps be visualized more easily by substituting pinholes for the microlenses, as has actually been done for some demonstrations and special applications. A display using integral imaging is a type of light field display. The result is a visual reproduction complete with all significant depth cues, including parallax in all directions, perspective that changes with the position and distance of the observer, and, if the lenses are small enough and the images of sufficient quality, the cue of accommodation — the adjustments of eye focus required to clearly see objects at different distances. Unlike the voxels in a true volumetric display, the image points perceived through the microlens array are virtual and have only a subjective location in space, allowing a scene of infinite depth to be displayed without resorting to an auxiliary large magnifying lens or mirror. Integral imaging was partly inspired by barrier grid autostereograms and in turn partly inspired lenticular printing.

Etymology Inventor Gabriel Lippmann called the technique "photographie intégrale" (in French). It is usually translated literally as "integral photography", which suggests the integration of a whole image from parts of many small ones. However, a more usual meaning of the French word "intégrale" is "complete" or "unabridged", so that "complete photography" is another valid translation of Lippmann's perhaps deliberately ambiguous name for it.

History On March 2, 1908 Nobel prize winning French physicist Gabriel Lippmann presented his ideas for "Photographie intégrale", based on insect eyes. He was probably also inspired by the barrier grid autostereograms of Frederic Ives and Eugène Estanave, representing Estanave at several presentations of Estanave's works at the French Academy of Sciences. Lippmann suggested to use a screen of tiny lenses. Spherical segments should be pressed into a sort of film with photographic emulsion on the other side. The screen would be placed inside a lightproof holder and on a tripod for stability. When exposed each tiny lens would function as a camera and record the surroundings from a slightly different angle than neighboring lenses. When developed and lit from behind the lenses should project the life-size image of the recorded subject in space. He could not yet present concrete results in March 1908, but by the end of 1908 he claimed to have exposed some Integral photography plates and to have seen the "resulting single, full-sized image". However, the technique remained experimental since no material or technique seemed to deliver the optical quality desired. At the time of his death in 1921 Lippmann reportedly had a system with only twelve lenses. Eugène Estanave performed further experiments with Lippmann's technique. He exhibited an integral photograph in 1925 and published about his findings in La Nature. In 1930 he had 432 lenses in a 6.5 x 9 cm plate with viewable results, but then abandoned the lenticular screen and continued his integral photography experiments with pinholes. Louis Lumière worked on integral photography and corresponded with Lippman about the technique. Lumière patented a system a few years after Lippmann's death, but never seems to have actually manufactured lenticular screens.

Integral video 2010 Japan's NHK broadcasting company and Toshiba each showed a demo featuring a prototype display view-able with a 25 degree window. 2015 "Looking glass factory" started work on their multiscopic display, the latest is based around an 8k screen showing 45 different possible angles simultaneously

See also Autostereoscopy Lenticular printing Focus stacking Plenoptic camera 3D display Stereoscopy

References

External links The History of Integral Print Methods — Comprehensive history of integral imaging Diffraction Influence on the Field of View and Resolution of Three-Dimensional Integral Imaging

Worked examples

Example 1 — a first encounter with Integral imaging

Start with the simplest possible case. Write down what Integral imaging claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Integral imaging before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Integral imaging ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Integral imaging

In research
Integral imaging appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Integral imaging in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Integral imaging is common in secondary-school and first-year university syllabi. It links to neighbouring topics 3D imaging, French inventions, so understanding it makes those chapters shorter.
In everyday life
Look for Integral imaging outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Integral imaging in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Integral imaging means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Integral imaging out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Integral imaging in simple terms?

Integral imaging is a three-dimensional imaging technique that captures and reproduces a light field by using a two-dimensional array of microlenses (or lenslets), sometimes called a fly's-eye lens, normally without the aid of a larger overall objective or viewing lens. In capture mode, in which a…

Why does Integral imaging matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Integral imaging?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Integral imaging.

Tags

  • 3D imaging
  • French inventions

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