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Hidden-line Removal
In 3D computer graphics, Solid geometry, solid objects are usually modeled by polyhedra. A face of a polyhedron is a planar polygon bounded by straight line segments, called Edge (geometry), edges. Curved surfaces are Computer representation of surfaces, usually approximated by a polygon mesh. Computer programs for Wire-frame model, line drawings of opaque objects must be able to decide which edges or which parts of the edges are hidden by an object itself or by other objects, so that those edges can be Clipping (computer graphics), clipped during Rendering (computer graphics), rendering. This problem is known as hidden-line removal. The first known solution to the hidden-line problem was devised by L. G. Roberts in 1963. However, it severely restricts the model: it requires that all objects be Convex set, convex. Ruth A. Weiss of Bell Labs documented her 1964 solution to this problem in a 1965 paper. In 1966 Ivan E. Sutherland listed 10 unsolved problems in computer graphics. P ...
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Obj Lineremoval
Obj or OBJ may refer to: *Object file, an organized machine code file created by a compiler with ''.obj'' file extension **Relocatable Object Module Format, an Object file for Intel microprocessors with ''.obj'' file extension *Wavefront .obj file, a 3D geometry definition file format with ''.obj'' file extension *OBJ (programming language), a programming language family developed in 1976, including OBJ2 and OBJ3 *, a replacement character used in computing *Odell Beckham Jr., NFL wide receiver who formerly played for the New York Giants, Cleveland Browns and the Los Angeles Rams, nicknamed OBJ *Olusegun Obasanjo, 5th and 12th President of Nigeria, nicknamed OBJ *''Ottawa Business Journal'', a weekly business publication in Ottawa, Ontario, Canada {{Disambiguation ...
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Ruth A
Ruth (or its variants) may refer to: Places France * Château de Ruthie, castle in the commune of Aussurucq in the Pyrénées-Atlantiques département of France Switzerland * Ruth, a hamlet in Cologny United States * Ruth, Alabama * Ruth, Arkansas * Ruth, California * Ruth, Louisiana * Ruth, Pulaski County, Kentucky * Ruth, Michigan * Ruth, Mississippi * Ruth, Nevada * Ruth, North Carolina * Ruth, Virginia * Ruth, Washington * Ruth, West Virginia In space * Ruth (lunar crater), crater on the Moon * Ruth (Venusian crater), crater on Venus * 798 Ruth, asteroid People * Ruth (biblical figure) * Ruth (given name) contains list of namesakes including fictional * Princess Ruth or Keʻelikōlani, (1826–1883), Hawaiian princess Surname * A. S. Ruth, American politician * Babe Ruth (1895–1948), American baseball player * Connie Ruth, American politician * Earl B. Ruth (1916–1989), American politician * Elizabeth Ruth, Canadian novelist * Kristin Ruth, American judge * ...
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Bresenham's Line Algorithm
Bresenham's line algorithm is a line drawing algorithm that determines the points of an ''n''-dimensional raster that should be selected in order to form a close approximation to a straight line between two points. It is commonly used to draw line primitives in a bitmap image (e.g. on a computer screen), as it uses only integer addition, subtraction and bit shifting, all of which are very cheap operations in commonly used computer instruction sets such as x86_64. It is an incremental error algorithm, and one of the earliest algorithms developed in the field of computer graphics. An extension to the original algorithm may be used for drawing circles. While algorithms such as Wu's algorithm are also frequently used in modern computer graphics because they can support antialiasing, Bresenham's line algorithm is still important because of its speed and simplicity. The algorithm is used in hardware such as plotters and in the graphics chips of modern graphics cards. It can also ...
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Back-face Culling
In computer graphics, back-face culling determines whether a polygon of a graphical object is drawn. It is a step in the graphical pipeline that tests whether the points in the polygon appear in clockwise or counter-clockwise order when projected onto the screen. If the user has specified that front-facing polygons have a clockwise winding, but the polygon projected on the screen has a counter-clockwise winding then it has been rotated to face away from the camera and will not be drawn. The process makes rendering objects quicker and more efficient by reducing the number of polygons for the program to draw. For example, in a city street scene, there is generally no need to draw the polygons on the sides of the buildings facing away from the camera; they are completely occluded by the sides facing the camera. In general, back-face culling can be assumed to produce no visible artifact in a rendered scene if it contains only closed and opaque geometry. In scenes containing transpa ...
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NC (complexity)
In computational complexity theory, the class NC (for "Nick's Class") is the set of decision problems decidable in polylogarithmic time on a parallel computer with a polynomial number of processors. In other words, a problem with input size ''n'' is in NC if there exist constants ''c'' and ''k'' such that it can be solved in time using parallel processors. Stephen Cook coined the name "Nick's class" after Nick Pippenger, who had done extensive research on circuits with polylogarithmic depth and polynomial size.Arora & Barak (2009) p.120 Just as the class P can be thought of as the tractable problems (Cobham's thesis), so NC can be thought of as the problems that can be efficiently solved on a parallel computer.Arora & Barak (2009) p.118 NC is a subset of P because polylogarithmic parallel computations can be simulated by polynomial-time sequential ones. It is unknown whether NC = P, but most researchers suspect this to be false, meaning that there are probably some tractable ...
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Concurrent Read, Exclusive Write
In computer science, a parallel random-access machine (parallel RAM or PRAM) is a shared-memory abstract machine. As its name indicates, the PRAM is intended as the parallel-computing analogy to the random-access machine (RAM) (not to be confused with random-access memory). In the same way that the RAM is used by sequential-algorithm designers to model algorithmic performance (such as time complexity), the PRAM is used by parallel-algorithm designers to model parallel algorithmic performance (such as time complexity, where the number of processors assumed is typically also stated). Similar to the way in which the RAM model neglects practical issues, such as access time to cache memory versus main memory, the PRAM model neglects such issues as synchronization and communication, but provides any (problem-size-dependent) number of processors. Algorithm cost, for instance, is estimated using two parameters O(time) and O(time × processor_number). Read/write conflicts Read/write confl ...
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Derick Wood
Derick Wood (1940–2010) was an English computer scientist who worked for many years as a professor of computer science in Canada and Hong Kong. He was known for his research in automata theory and formal languages, much of which he published in collaboration with Hermann Maurer and Arto Salomaa, and also for his work in computational geometry. Wood was born in 1940 in Lancashire, and educated at the University of Leeds. He earned his PhD from Leeds in 1968 under the supervision of Mike Wells. After postdoctoral studies at the Courant Institute of Mathematical Sciences of New York University, he took his first faculty position at McMaster University in Ontario, Canada. Before joining the Hong Kong University of Science and Technology (HKUST) in 1995, Wood also taught at the University of Waterloo and the University of Western Ontario The University of Western Ontario (UWO), also known as Western University or Western, is a public research university in London, Ontario, Ca ...
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Computer-aided Design
Computer-aided design (CAD) is the use of computers (or ) to aid in the creation, modification, analysis, or optimization of a design. This software is used to increase the productivity of the designer, improve the quality of design, improve communications through documentation, and to create a database for manufacturing. Designs made through CAD software are helpful in protecting products and inventions when used in patent applications. CAD output is often in the form of electronic files for print, machining, or other manufacturing operations. The terms computer-aided drafting (CAD) and computer aided design and drafting (CADD) are also used. Its use in designing electronic systems is known as '' electronic design automation'' (''EDA''). In mechanical design it is known as ''mechanical design automation'' (''MDA''), which includes the process of creating a technical drawing with the use of computer software. CAD software for mechanical design uses either vector-based graphic ...
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Computational Complexity
In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation time (generally measured by the number of needed elementary operations) and memory storage requirements. The complexity of a problem is the complexity of the best algorithms that allow solving the problem. The study of the complexity of explicitly given algorithms is called analysis of algorithms, while the study of the complexity of problems is called computational complexity theory. Both areas are highly related, as the complexity of an algorithm is always an upper bound on the complexity of the problem solved by this algorithm. Moreover, for designing efficient algorithms, it is often fundamental to compare the complexity of a specific algorithm to the complexity of the problem to be solved. Also, in most cases, the only thing that is known about the complexity of a problem is that it is lower than the ...
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Ivan E
Ivan () is a Slavic male given name, connected with the variant of the Greek name (English: John) from Hebrew meaning 'God is gracious'. It is associated worldwide with Slavic countries. The earliest person known to bear the name was Bulgarian tsar Ivan Vladislav. It is very popular in Russia, Ukraine, Croatia, Serbia, Bosnia and Herzegovina, Slovenia, Bulgaria, Belarus, North Macedonia, and Montenegro and has also become more popular in Romance-speaking countries since the 20th century. Etymology Ivan is the common Slavic Latin spelling, while Cyrillic spelling is two-fold: in Bulgarian, Russian, Macedonian, Serbian and Montenegrin it is Иван, while in Belarusian and Ukrainian it is Іван. The Old Church Slavonic (or Old Cyrillic) spelling is . It is the Slavic relative of the Latin name , corresponding to English ''John''. This Slavic version of the name originates from New Testament Greek (''Iōánnēs'') rather than from the Latin . The Greek name is in tur ...
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Convex Set
In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set is always a convex curve. The intersection of all the convex sets that contain a given subset of Euclidean space is called the convex hull of . It is the smallest convex set containing . A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex ...
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3D Computer Graphics
3D computer graphics, or “3D graphics,” sometimes called CGI, 3D-CGI or three-dimensional computer graphics are graphics that use a three-dimensional representation of geometric data (often Cartesian) that is stored in the computer for the purposes of performing calculations and rendering digital images, usually 2D images but sometimes 3D images. The resulting images may be stored for viewing later (possibly as an animation) or displayed in real time. 3D computer graphics, contrary to what the name suggests, are most often displayed on two-dimensional displays. Unlike 3D film and similar techniques, the result is two-dimensional, without visual depth. More often, 3D graphics are being displayed on 3D displays, like in virtual reality systems. 3D graphics stand in contrast to 2D computer graphics which typically use completely different methods and formats for creation and rendering. 3D computer graphics rely on many of the same algorithms as 2D computer vector ...
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