Diamond-square Algorithm
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Diamond-square Algorithm
The diamond-square algorithm is a method for generating heightmaps for computer graphics. It is a slightly better algorithm than the three-dimensional implementation of the midpoint displacement algorithm, which produces two-dimensional landscapes. It is also known as the random midpoint displacement fractal, the cloud fractal or the plasma fractal, because of the plasma effect produced when applied. The idea was first introduced by Fournier, Fussell and Carpenter at SIGGRAPH in 1982. The diamond-square algorithm starts with a two-dimensional grid, then randomly generates terrain height from four seed values arranged in a grid of points so that the entire plane is covered in squares. Description The diamond-square algorithm begins with a two-dimensional square array of width and height 2n + 1. The four corner points of the array must first be set to initial values. The diamond and square steps are then performed alternately until all array values have been set. * The diam ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use Conditional (computer programming), conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning). In contrast, a Heuristic (computer science), heuristic is an approach to solving problems without well-defined correct or optimal results.David A. Grossman, Ophir Frieder, ''Information Retrieval: Algorithms and Heuristics'', 2nd edition, 2004, For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an e ...
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Fractals
In mathematics, a fractal is a Shape, geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine geometry, affine self-similar. Fractal geometry lies within the mathematical branch of measure theory. One way that fractals are different from finite geometric figures is how they Scaling (geometry), scale. Doubling the edge lengths of a filled polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the conventional dimension of the filled polygon). ...
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Robert Cecil Martin
Robert Cecil Martin (born 5 December 1952), colloquially called "Uncle Bob", is an American software engineer, instructor, and author. He is most recognized for promoting many software design principles and for being an author and signatory of the influential Agile Manifesto. Martin has authored many books and magazine articles. He was the editor-in-chief of '' C++ Report'' magazine and served as the first chairman of the Agile Alliance. Martin joined the software industry at age 17 and is self-taught. Professional work In 1991, Martin founded Object Mentor, now defunct, which provided instructor-led training on the extreme programming methodology. , he operated Uncle Bob Consulting, which provides consulting and training services. He serves as Master Craftsman / Mentor at ''Clean Coders,'' a company run by his son Micah Martin, and produces training videos. Software principles advocacy Martin is a proponent of software craftsmanship, agile software development, and test-dr ...
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Test-driven Development
Test-driven development (TDD) is a way of writing source code, code that involves writing an test automation, automated unit testing, unit-level test case that fails, then writing just enough code to make the test pass, then refactoring both the test code and the production code, then repeating with another new test case. Alternative approaches to writing automated tests is to write all of the production code before starting on the test code or to write all of the test code before starting on the production code. With TsDD, both are written together, therefore shortening debugging time necessities. TDD is related to the test-first programming concepts of extreme programming, begun in 1999, but more recently has created more general interest in its own right.Newkirk, JW and Vorontsov, AA. ''Test-Driven Development in Microsoft .NET'', Microsoft Press, 2004. Programmers also apply the concept to improving and software bug, debugging legacy code developed with older techniques.Feat ...
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Gavin S
Gavin is a Celtic male given name. It is the Scottish variation of the medieval Welsh name Gawain, meaning 'God send' or 'white hawk/falcon'. Sir Gawain is a knight of King Arthur's Round Table. ''Sir Gawain and the Green Knight'' is an epic poem in which he beheads the Green Knight, who promptly replaces his head and threatens Gawain an identical fate the same time next year. Decapitation figures elsewhere: the Italian (and originally Sardinian) name Gavino is the name of an early Christian martyr ( San Gavino, Porto Torres, Sardinia) who was beheaded in 300 AD, his head being thrown in the Mediterranean Sea, later recovered and interred with his body. People with the given names People with the surname * Agnes Gavin (1872–1947), Australian actor and screenwriter * Andy Gavin (born 1970), American programmer * Barrie Gavin (born 1935), British film director * Barry Gavin (1944–2017), Australian rules footballer * Bill Gavin (1907–1985), American radio personality a ...
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Procedural Textures
In computer graphics, a procedural texture is a texture created using a mathematical description (i.e. an algorithm) rather than directly stored data. The advantage of this approach is low storage cost, unlimited texture resolution and easy texture mapping. These kinds of textures are often used to model surface or volumetric representations of natural elements such as wood, marble, granite, metal, stone, and others. Usually, the natural look of the rendered result is achieved by the usage of fractal noise and turbulence functions. These functions are used as a numerical representation of the "randomness" found in nature. Solid texturing Solid texturing is a process where the texture generating function is evaluated over \mathbb^ at each visible surface point of the model so the resulting material properties (like color, shininess or normal) depends only on their 3D position, not their parametrized 2D surface position like in traditional 2D texture mapping. Consequently, soli ...
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Terragen
Terragen is a scenery generator program for Microsoft Windows and Mac OS X developed and published by Planetside Software. It can be used to create renderings and animations of landscapes. History Released in stages (tech preview and beta) to a participating community, Terragen 2 was released to pre-purchasers on 2 April 2009. Terragen 2 is offered in feature limited freeware and full-featured commercial licenses. Planetside Software released the first public version of Terragen 2 after more than three years of development of both the core technologies and the program itself. Since then there have been several released updates to both licenses of the software along the development cycle with a series of technology previews and a beta release. The "final" build was released on April 23, 2009, and more updates, including feature modules, are expected to be released later. Planetside released Terragen 3 in August 2013. Version 3.1 was released in February 2014. Version 4 was ...
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Fractal Landscape
A fractal landscape or fractal surface is generated using a stochastic algorithm designed to produce fractal behavior that mimics the appearance of natural terrain. In other words, the surface resulting from the procedure is not a deterministic, but rather a random surface that exhibits fractal behavior. Many natural phenomena exhibit some form of statistical self-similarity that can be modeled by fractal surfaces.''Advances in multimedia modeling: 13th International Multimedia Modeling'' by Tat-Jen Cham 2007 pag/ref> Moreover, variations in surface texture provide important visual cues to the orientation and slopes of surfaces, and the use of almost self-similar fractal patterns can help create natural looking visual effects. The modeling of the Earth's rough surfaces via fractional Brownian motion was first proposed by Benoit Mandelbrot. Because the intended result of the process is to produce a landscape, rather than a mathematical function, processes are frequently applied ...
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Diamond Square
Diamond is a Allotropes of carbon, solid form of the element carbon with its atoms arranged in a crystal structure called diamond cubic. Diamond is tasteless, odourless, strong, brittle solid, colourless in pure form, a poor conductor of electricity, and insoluble in water. Another solid form of carbon known as graphite is the Chemical stability, chemically stable form of carbon at Standard temperature and pressure, room temperature and pressure, but diamond is metastable and converts to it at a negligible rate under those conditions. Diamond has the highest Scratch hardness, hardness and thermal conductivity of any natural material, properties that are used in major industrial applications such as cutting and polishing tools. Because the arrangement of atoms in diamond is extremely rigid, few types of impurity can contaminate it (two exceptions are boron and nitrogen). Small numbers of lattice defect, defects or impurities (about one per million of lattice atoms) can color ...
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