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  2. Duality (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Duality_(projective_geometry)

    These sets can be used to define a plane dual structure. Interchange the role of "points" and "lines" in C = (P, L, I) to obtain the dual structure. C ∗ = (L, P, I ∗), where I ∗ is the converse relation of I. C ∗ is also a projective plane, called the dual plane of C. If C and C ∗ are isomorphic, then C is called self-dual.

  3. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  4. Quaternions and spatial rotation - Wikipedia

    en.wikipedia.org/wiki/Quaternions_and_spatial...

    3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]

  5. Tableau Software - Wikipedia

    en.wikipedia.org/wiki/Tableau_Software

    Tableau Software, LLC is an American interactive data visualization software company focused on business intelligence. [ 2 ] [ 3 ] It was founded in 2003 in Mountain View, California , and is currently headquartered in Seattle, Washington . [ 4 ]

  6. Data and information visualization - Wikipedia

    en.wikipedia.org/wiki/Data_and_information...

    In data and information visualization, the goal is to graphically present and explore abstract, non-physical and non-spatial data collected from databases, information systems, file systems, documents, business data, etc. (presentational and exploratory visualization) which is different from the field of scientific visualization, where the goal ...

  7. Dual quaternion - Wikipedia

    en.wikipedia.org/wiki/Dual_quaternion

    In general, the dual quaternion associated with a spatial displacement D = ([A], d) is constructed from its screw axis S = (S, V) and the dual angle (φ, d) where φ is the rotation about and d the slide along this axis, which defines the displacement D. The associated dual quaternion is given by,

  8. Scientific visualization - Wikipedia

    en.wikipedia.org/wiki/Scientific_visualization

    A scientific visualization of a simulation of a Rayleigh–Taylor instability caused by two mixing fluids. [1] Surface rendering of Arabidopsis thaliana pollen grains with confocal microscope. Scientific visualization (also spelled scientific visualisation) is an interdisciplinary branch of science concerned with the visualization of scientific ...

  9. Two-streams hypothesis - Wikipedia

    en.wikipedia.org/wiki/Two-streams_hypothesis

    The two-streams hypothesis is a model of the neural processing of vision as well as hearing. [1] The hypothesis, given its initial characterisation in a paper by David Milner and Melvyn A. Goodale in 1992, argues that humans possess two distinct visual systems. [2]