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Unbiased Rendering
__NOTOC__ Within the field of computer graphics, unbiased rendering refers to any rendering (computer graphics), rendering technique that does not introduce systematic error, or bias of an estimator, bias, into the rendering equation, radiance approximation. The term refers to statistical bias, not the broader meaning of Bias, subjective bias. Because of this, an unbiased rendering technique can produce a reference image to compare against renders that use other techniques. In simple terms, unbiased rendering tries to mimic the real world as closely as possible without taking short cuts. Path tracing and its derivatives can be unbiased, whereas Ray tracing (graphics), ray tracing was originally biased. Mathematical definition Mathematically speaking, the expected value (E) of an ''unbiased'' estimator is the population mean, regardless of the number of observations. The error found in a render produced by an unbiased rendering technique is due to random variance, statistical var ...
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Consistent Estimator
In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter ''θ''0—having the property that as the number of data points used increases indefinitely, the resulting sequence of estimates converges in probability to ''θ''0. This means that the distributions of the estimates become more and more concentrated near the true value of the parameter being estimated, so that the probability of the estimator being arbitrarily close to ''θ''0 converges to one. In practice one constructs an estimator as a function of an available sample of size ''n'', and then imagines being able to keep collecting data and expanding the sample ''ad infinitum''. In this way one would obtain a sequence of estimates indexed by ''n'', and consistency is a property of what occurs as the sample size “grows to infinity”. If the sequence of estimates can be mathematically shown to converge in probability to the true value '' ...
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Maxwell Render
Maxwell Render is an unbiased 3D render engine, developed by Next Limit Technologies in Madrid, Spain. This stand-alone software is used in the film, animation, and VFX industry, as well as in architectural and product design visualization. It offers various plug-ins for 3D/CAD and post production applications. Overview Maxwell Render was released to the public as an early alpha in December 2004 (after two years of internal development) utilizing a global illumination (GI) algorithm based on a metropolis light transport variation. Next Limit Technologies released its latest version of Maxwell Render V4.2 in February 2018. The physically correct rendering engine was originally used as a tool for animation and visual effects. Maxwell Render's trademark Multilight feature, which permits the changing of light intensities and colors in real time, was used in the feature film '' The Curious Case of Benjamin Button''. General features Physically-based advantages * Accuracy * Adva ...
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Houdini (software)
Houdini is a 3D animation software application developed by Toronto-based SideFX, who adapted it from the PRISMS suite of procedural generation software tools. The procedural tools are used to produce different effects such as complex reflections, animations and particles system. Some of its procedural features have been in existence since 1987. Houdini is most commonly used for the creation of visual effects in film and television. It is used by major VFX companies such as Walt Disney Animation Studios, Pixar, DreamWorks Animation, Double Negative, ILM, MPC, Framestore, Sony Pictures Imageworks, Scanline VFX, Method Studios and The Mill. It has been used in many feature animation productions, including Disney's feature films '' Fantasia 2000'', '' Frozen'', ''Zootopia'' and '' Raya and the Last Dragon''; the Blue Sky Studios film ''Rio'', and DNA Productions' '' Ant Bully''. SideFX also publishes Houdini Apprentice, a limited version of the software that is free of ...
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LuxRender
LuxCoreRender is a free and open-source physically based rendering software. It began as ''LuxRender'' in 2008 before changing its name to LuxCoreRender in 2017 as part of a project reboot. The LuxCoreRender software runs on Linux, Mac OS X, and Windows. Overview LuxCoreRender features a 3D renderer; it relies on other programs ( 3D modeling programs) to create the scenes to render, including the models, materials, lights and cameras. This content can then be exported from the application for rendering. For Luxrender, fully functional exporters are available for Blender, Daz Studio; partially functional ones are available for Cinema 4D, Maya, SketchUp and XSI. Luxrender is also fully supported as a production renderer in 3DS Max. For LuxCoreRender, Blender is supported through the BlendLuxCore plugin. After opening the exported file, LuxCoreRender renders the scene. Various tweaks to post processing settings can be set via graphical user interface and the scene control fil ...
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Kerkythea
Kerkythea is a standalone rendering system that supports raytracing and Metropolis light transport, uses physically accurate materials and lighting, and is distributed as freeware. Currently, the program can be integrated with any software that can export files in obj and 3ds formats, including 3ds Max, Blender, LightWave 3D, SketchUp, Silo and Wings3D. History Kerkythea started development in 2004 and released its first version in April 2005. Initially it was only compatible with Microsoft Windows, but an updated release in October 2005 made it Linux compatible. As of January 2016, it is also available for Mac OS X. In May 2009 it was announced that the development team started a new commercial renderer, although Kerkythea will be updated and it will stay free and available. A new version called 'Boost' has been released in 2013. In June 2018 the main developer announced the third version of Kerkythea called "Kerkythea 2018 Boost". Exporters There are 6 official exporters ...
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Indigo Renderer
Indigo Renderer is a 3D rendering software that uses unbiased rendering technologies to create photo-realistic images. In doing so, it uses equations that simulate the behaviour of light. By simulating the interactions of light, it can produce effects such as: * Depth of field, as when a camera is focused on one object and the background is blurred * Spectral effects, as when a beam of light goes through a prism and a rainbow of colours is produced * Refraction, as when light enters a pool of water and the objects in the pool seem to be "bent" * Reflections, from subtle reflections on a polished concrete floor to the pure reflection of a silvered mirror * Caustics, as in light that has been focused through a magnifying glass and has made a pattern of brightness on a surface It uses methods such as Metropolis light transport (MLT), spectral light calculus, and virtual camera model. Scene data is stored in XML or IGS format. It features Monte-Carlo path tracing, bidire ...
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Blender (software)
Blender is a free and open-source 3D computer graphics software tool set used for creating animated films, visual effects, art, 3D-printed models, motion graphics, interactive 3D applications, virtual reality, and, formerly, video games. Blender's features include 3D modelling, UV mapping, texturing, digital drawing, raster graphics editing, rigging and skinning, fluid and smoke simulation, particle simulation, soft body simulation, sculpting, animation, match moving, rendering, motion graphics, video editing, and compositing. History The Dutch animation studio NeoGeo (not related to Neo Geo video game hardware) started to develop Blender as an in-house application, and based on the timestamps for the first source files, January 2, 1994 is considered to be Blender's birthday. Version 1.00 was released in January 1995, with the primary author being company co-owner and software developer Ton Roosendaal. The name ''Blender'' was inspired by a song by the Swiss el ...
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Arnold (software)
Arnold is a computer program for rendering three-dimensional, computer-generated scenes using unbiased, physically-based, Monte Carlo path tracing techniques. Created in Spain by Marcos Fajardo and later co-developed by his company Solid Angle SL (now owned by Autodesk) and Sony Pictures Imageworks, Arnold is one of the most widely used photorealistic rendering systems in computer graphics worldwide in 2021, specially in animation and VFX for film and TV. Notable feature films that have used Arnold include '' Monster House'', '' Cloudy with a Chance of Meatballs'', '' Alice in Wonderland'', ''Thor'', '' Captain America'', '' X-Men: First Class'', '' The Avengers'', ''Space Pirate Captain Harlock'', '' Elysium'', '' Pacific Rim'', ''Gravity'', ''Guardians of the Galaxy'', '' Star Wars: The Force Awakens'', '' Arrival'' and '' Blade Runner 2049''. Notable television series include '' Game of Thrones'', ''Westworld'', '' Trollhunters'', '' LOVE DEATH + ROBOTS'' and ''The Mandaloria ...
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Arion (software)
Arion is a physically based, unbiased render engine developed by RandomControl. Versions Arion standalone is a general purpose rendering tool with a visual UI. There are also versions that integrate into 3ds Max and Rhinoceros. See also * POV-Ray - A historical raytracer. * Indigo Renderer - A commercial unbiased renderer. * Octane Render - A commercial unbiased GPU-accelerated renderer. * Sunflow - An open source unbiased renderer. * YafaRay YafaRay (formerly YafRay) is a free and open-source ray tracing program that uses an XML scene description language. There is a YafaRay addon for Blender 2.78. The ray tracer is licensed under the GNU Lesser General Public License (LGPL). Histo ... - An open source raytrace renderer. References External links * {{Official website, http://www.randomcontrol.com/arion Rendering systems ...
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Metropolis Light Transport
Metropolis light transport (MLT) is a global illumination application of a variant of the Monte Carlo method called the Metropolis–Hastings algorithm to the rendering equation for generating images from detailed physical descriptions of three-dimensional scenes. The procedure constructs paths from the eye to a light source using bidirectional path tracing, then constructs slight modifications to the path. Some careful statistical calculation (the Metropolis algorithm) is used to compute the appropriate distribution of brightness over the image. This procedure has the advantage, relative to bidirectional path tracing, that once a path has been found from light to eye, the algorithm can then explore nearby paths; thus difficult-to-find light paths can be explored more thoroughly with the same number of simulated photons. In short, the algorithm generates a path and stores the path's 'nodes' in a list. It can then modify the path by adding extra nodes and creating a new light p ...
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Infinity
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of ...
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