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HR3D
HR3D is a multiscopic 3D display technology developed at the MIT Media Lab.Douglas Lanman, Matthew Hirsch, Yunhee Kim, Ramesh Raskar. Content-adaptive parallax barriers: optimizing dual-layer 3D displays using low-rank light field factorization. Proc. of SIGGRAPH Asia 2010 (ACM Transactions on Graphics 29, 6), 2010. Technology The technology uses double-layered LCD panels. Mathematics "HR" stands for "high-rank", and refers to algebraic rank; the related paper describes how light fields The light field is a vector function that describes the amount of light flowing in every direction through every point in space. The space of all possible '' light rays'' is given by the five-dimensional plenoptic function, and the magnitude of ea ... can be represented with low rank. External links * http://web.media.mit.edu/~mhirsch/hr3d/ * https://web.archive.org/web/20110814193452/http://cameraculture.media.mit.edu/hr3d/faq.html 3D imaging ...
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Multiscopic
A 3D display is multiscopic if it projects more than two images out into the world, unlike conventional 3D stereoscopy, which simulates a 3D scene by displaying only two different views of it, each visible to only one of the viewer's eyes. Multiscopic displays can represent the subject as viewed from a series of locations, and allow each image to be visible only from a range of eye locations narrower than the average human interocular distance of 63 mm. As a result, not only does each eye see a different image, but different pairs of images are seen from different viewing locations. This allows the observer to view the 3D subject from different angles as they move their head, simulating the real-world depth cue of shifting parallax. It also reduces or eliminates the complication of pseudoscopic viewing zones typical of "no glasses" 3D displays that use only two images, making it possible for several randomly located observers to all see the subject in correct 3D at the same tim ...
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Light Fields
The light field is a vector function that describes the amount of light flowing in every direction through every point in space. The space of all possible ''light rays'' is given by the five-dimensional plenoptic function, and the magnitude of each ray is given by its radiance. Michael Faraday was the first to propose that light should be interpreted as a field, much like the magnetic fields on which he had been working. The phrase ''light field'' was coined by Andrey Gershun in a classic 1936 paper on the radiometric properties of light in three-dimensional space. Modern approaches to light field display explore co-designs of optical elements and compressive computation to achieve higher resolutions, increased contrast, wider fields of view, and other benefits. The term “radiance field” may also be used to refer to similar concepts. The term is used in modern research such as neural radiance fields. The plenoptic function For geometric optics—i.e., to incoherent light ...
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MIT Media Lab
The MIT Media Lab is a research laboratory at the Massachusetts Institute of Technology, growing out of MIT's Architecture Machine Group in the School of Architecture. Its research does not restrict to fixed academic disciplines, but draws from technology, media, science, art, and design. , Media Lab's research groups include neurobiology, biologically inspired fabrication, socially engaging robots, emotive computing, bionics, and hyperinstruments. The Media Lab was founded in 1985 by Nicholas Negroponte and former MIT President Jerome Wiesner, and is housed in the Wiesner Building (designed by I. M. Pei), also known as Building E15. The Lab has been written about in the popular press since 1988, when Stewart Brand published ''The Media Lab: Inventing the Future at M.I.T.'', and its work was a regular feature of technology journals in the 1990s. In 2009, it expanded into a second building. The Media Lab came under scrutiny in 2019 due to its acceptance of donations ...
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Rank (linear Algebra)
In linear algebra, the rank of a matrix (mathematics), matrix is the Dimension (vector space), dimension of the vector space generated (or Linear span, spanned) by its columns. p. 48, § 1.16 This corresponds to the maximal number of linearly independent columns of . This, in turn, is identical to the dimension of the vector space spanned by its rows. Rank is thus a measure of the "Degenerate form, nondegenerateness" of the system of linear equations and linear transformation encoded by . There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics. The rank is commonly denoted by or ; sometimes the parentheses are not written, as in .Alternative notation includes \rho (\Phi) from and . Main definitions In this section, we give some definitions of the rank of a matrix. Many definitions are possible; see #Alternative definitions, Alternative definitions for several of these. The column rank of is the dimension (linear alg ...
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