• In real-time computer graphics, geometry instancing is the practice of rendering multiple copies of the same mesh in a scene at once. This technique is...
    4 KB (432 words) - 00:07, 13 March 2024
  • Instancing may refer to: Geometry instancing, a technique used in realtime rendering Dungeon instancing, a technique used in online games to provide individual...
    354 bytes (74 words) - 16:20, 4 May 2011
  • Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') is a branch of mathematics...
    102 KB (10,101 words) - 17:40, 10 June 2025
  • Thumbnail for Euclidean geometry
    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements...
    60 KB (7,199 words) - 23:16, 13 June 2025
  • affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines...
    23 KB (2,771 words) - 20:35, 16 February 2025
  • non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...
    45 KB (6,066 words) - 03:48, 14 May 2025
  • Thumbnail for Line (geometry)
    In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical...
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  • Thumbnail for Algebraic geometry
    Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
    62 KB (7,498 words) - 11:10, 27 May 2025
  • granular way; for example D3D11_FEATURE_D3D9_SIMPLE_INSTANCING_SUPPORT exposes partial support for instancing on feature level 9_1 and 9_2 hardware, otherwise...
    102 KB (10,167 words) - 19:56, 24 April 2025
  • Thumbnail for Hyperbolic geometry
    mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...
    56 KB (6,970 words) - 13:36, 7 May 2025
  • Thumbnail for Real-time computer graphics
    pixels or picture elements. Bounding interval hierarchy Demoscene Geometry instancing Optical feedback Quartz Composer Real time (media) Real-time raytracing...
    14 KB (1,604 words) - 08:29, 26 February 2025
  • Thumbnail for Triangle
    Triangle (redirect from Triangle (geometry))
    polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the...
    55 KB (6,518 words) - 09:58, 5 June 2025
  • Thumbnail for Similarity (geometry)
    In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely...
    28 KB (3,581 words) - 12:34, 16 May 2025
  • scenes such as the space station in Elysium, it makes heavy use of geometry instancing, which helps it render trillions of visible polygons in a reasonable...
    11 KB (877 words) - 19:05, 11 June 2025
  • Thumbnail for High-Level Shader Language
    programs come in six forms: pixel shaders (fragment in GLSL), vertex shaders, geometry shaders, compute shaders, tessellation shaders (Hull and Domain shaders)...
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  • heuristics). BVHs can also be combined with scene graph methods, and geometry instancing, to reduce memory usage, improve structure update and full rebuild...
    19 KB (2,401 words) - 20:21, 15 May 2025
  • Computational geometry is a branch of computer science devoted to the study of algorithms that can be stated in terms of geometry. Some purely geometrical...
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  • Thumbnail for Scene graph
    scene graph. For this reason, many large scene graph systems use geometry instancing to reduce memory costs and increase speed. In our example above,...
    16 KB (2,230 words) - 22:28, 10 March 2025
  • have no children. Leaf nodes specify lights, geometry, and sounds. They specify special linking and instancing abilities for sharing scene graphs and provide...
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  • Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces...
    22 KB (2,408 words) - 07:34, 9 May 2025
  • Thumbnail for Chord (geometry)
    paradox Gibson, C. G. (2003). "7.1 Midpoint Loci". Elementary Euclidean Geometry: An Introduction. Cambridge University Press. pp. 65–68. ISBN 9780521834483...
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  • Thumbnail for Ackermann steering geometry
    The Ackermann steering geometry (also called Ackermann's steering trapezium) is a geometric arrangement of linkages in the steering of a car or other vehicle...
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  • In geometry, a triangulation is a subdivision of a planar object into triangles, and by extension the subdivision of a higher-dimension geometric object...
    6 KB (826 words) - 08:31, 28 May 2024
  • own use and application of the idea, social geometry is an instance of Pure Sociology. While social geometry might entail other elements as well (or instead)...
    4 KB (552 words) - 09:52, 29 July 2021
  • In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that...
    38 KB (5,099 words) - 22:20, 24 May 2025
  • Thumbnail for Tropical geometry
    In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication...
    28 KB (3,660 words) - 08:20, 15 June 2025
  • term Hilbert geometry may refer to several things named after David Hilbert: Hilbert's axioms, a modern axiomatization of Euclidean geometry Hilbert space...
    432 bytes (89 words) - 20:33, 6 November 2019
  • Thumbnail for Finite geometry
    A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean...
    22 KB (2,841 words) - 13:36, 12 April 2024
  • study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study...
    163 KB (15,943 words) - 18:43, 9 June 2025
  • Thumbnail for Displacement (geometry)
    In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing...
    6 KB (711 words) - 18:09, 18 March 2025