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Picture Plane
In painting, photography, graphical perspective and descriptive geometry, a picture plane is an image plane located between the "eye point" (or '' oculus'') and the object being viewed and is usually coextensive to the material surface of the work. It is ordinarily a vertical plane perpendicular to the sightline to the object of interest. Features In the technique of graphical perspective the picture plane has several features: :Given are an eye point O (from '' oculus''), a horizontal plane of reference called the ''ground plane'' γ and a picture plane π... The line of intersection of π and γ is called the ''ground line'' and denoted ''GR''. ... the orthogonal projection of O upon π is called the ''principal vanishing point P''...The line through ''P'' parallel to the ground line is called the ''horizon'' HZ The horizon frequently features vanishing points of lines appearing parallel in the foreground. Position The orientation of the picture plane is al ...
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Painting
Painting is the practice of applying paint, pigment, color or other medium to a solid surface (called the "matrix" or "support"). The medium is commonly applied to the base with a brush, but other implements, such as knives, sponges, and airbrushes, can be used. In art, the term ''painting ''describes both the act and the result of the action (the final work is called "a painting"). The support for paintings includes such surfaces as walls, paper, canvas, wood, glass, lacquer, pottery, leaf, copper and concrete, and the painting may incorporate multiple other materials, including sand, clay, paper, plaster, gold leaf, and even whole objects. Painting is an important form in the visual arts, bringing in elements such as drawing, composition, gesture (as in gestural painting), narration (as in narrative art), and abstraction (as in abstract art). Paintings can be naturalistic and representational (as in still life and landscape painting), photographic, abstract, nar ...
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Vanishing Point
A vanishing point is a point on the image plane of a perspective drawing where the two-dimensional perspective projections of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point corresponds to the oculus, or "eye point", from which the image should be viewed for correct perspective geometry.Kirsti Andersen (2007) ''Geometry of an Art'', p. xxx, Springer, Traditional linear drawings use objects with one to three sets of parallels, defining one to three vanishing points. Italian humanist polymath and architect Leon Battista Alberti first introduced the concept in his treatise on perspective in art, '' De pictura'', written in 1435. Vector notation The vanishing point may also be referred to as the "direction point", as lines having the same directional vector, say ''D'', will have the same vanishing point. Mathem ...
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Projection Plane
A projection plane, or plane of projection, is a type of view in which graphical projections from an object intersect.Gary R. Bertoline et al. (2002) ''Technical Graphics Communication''. McGraw–Hill Professional, 2002. , p. 330. Projection planes are used often in descriptive geometry and graphical representation. A picture plane in perspective drawing is a type of projection plane. With perspective drawing, the lines of sight, or projection lines, between an object and a picture plane return to a vanishing point and are not parallel. With parallel projection the lines of sight from the object to the projection plane are parallel. File:Perspective projection of triangle ABC on plane Π from point S.svg , Perspective projection of triangle ABC on plane Π from point S. File:Axonometric_projection.svg , Axonometric projection on projection plane Π File:Perspectiva-1.svg , A cube in two-point perspective File:Perspectiva-2.svg , Simulated rays of light travel from the object, ...
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Perspective Projection
Linear or point-projection perspective (from la, perspicere 'to see through') is one of two types of graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye. Perspective drawing is useful for representing a three-dimensional scene in a two-dimensional medium, like paper. The most characteristic features of linear perspective are that objects appear smaller as their distance from the observer increases, and that they are subject to ''foreshortening'', meaning that an object's dimensions along the line of sight appear shorter than its dimensions across the line of sight. All objects will recede to points in the distance, usually along the horizon line, but also above and below the horizon line depending on the view used. Italian Renaissance painters and architects including Masaccio, Paolo Uccello, Piero della Francesca and Luca ...
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Image Plane
In 3D computer graphics, the image plane is that plane in the world which is identified with the plane of the display monitor used to view the image that is being rendered. It is also referred to as screen space. If one makes the analogy of taking a photograph to rendering a 3D image, the surface of the film is the image plane. In this case, the viewing transformation is a projection that maps the world onto the image plane. A rectangular region of this plane, called the viewing window or viewport, maps to the monitor. This establishes the mapping between pixels on the monitor and points (or rather, rays) in the 3D world. The plane is not usually an actual geometric object in a 3D scene, but instead is usually a collection of target coordinates or dimensions that are used during the rasterization process so the final output can be displayed as intended on the physical screen. In optics, the image plane is the plane that contains the object's projected image, and lies beyond the ba ...
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Clement Greenberg
Clement Greenberg () (January 16, 1909 – May 7, 1994), occasionally writing under the pseudonym K. Hardesh, was an American essayist known mainly as an art critic closely associated with American modern art of the mid-20th century and a formalist aesthetician. He is best remembered for his association with the art movement abstract expressionism and the painter Jackson Pollock. Early life Clement Greenberg was born in the borough of the Bronx, NYC, in 1909. His parents were middle-class Jewish immigrants, and he was the eldest of their three sons. Since childhood, Greenberg sketched compulsively, until becoming a young adult, when he began to focus on literature. Greenberg attended Erasmus Hall High School, the Marquand School for Boys, then Syracuse University, graduating with an A.B. in 1930, cum laude, Phi Beta Kappa. After college, already as fluent in Yiddish and English since childhood, Greenberg taught himself Italian and German in addition to French and Latin. Dur ...
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Modern Art
Modern art includes artistic work produced during the period extending roughly from the 1860s to the 1970s, and denotes the styles and philosophies of the art produced during that era. The term is usually associated with art in which the traditions of the past have been thrown aside in a spirit of experimentation. Modern artists experimented with new ways of seeing and with fresh ideas about the nature of materials and functions of art. A tendency away from the narrative, which was characteristic for the traditional arts, toward abstraction is characteristic of much modern art. More recent artistic production is often called contemporary art or postmodern art. Modern art begins with the heritage of painters like Vincent van Gogh, Paul Cézanne, Paul Gauguin, Georges Seurat and Henri de Toulouse-Lautrec all of whom were essential for the development of modern art. At the beginning of the 20th century Henri Matisse and several other young artists including the Proto-Cubism, pre-c ...
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Perspective Drawing
Linear or point-projection perspective (from la, perspicere 'to see through') is one of two types of 3D projection, graphical projection perspective in the graphic arts; the other is parallel projection. Linear perspective is an approximate representation, generally on a flat surface, of an image as it is seen by the eye. Perspective drawing is useful for representing a three-dimensional scene in a two-dimensional medium, like paper. The most characteristic features of linear perspective are that objects appear smaller as their distance from the observer increases, and that they are subject to ''foreshortening'', meaning that an object's dimensions along the line of sight appear shorter than its dimensions across the line of sight. All objects will recede to points in the distance, usually along the horizon line, but also above and below the horizon line depending on the view used. Italian Renaissance painters and architects including Masaccio, Paolo Uccello, Piero della Fran ...
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Parallel Lines
In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. ''Parallel curves'' are curves that do not touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called ''skew lines''. Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism. Symbol The parallel symbol is \parallel. For example, AB \parallel CD indicates that line ''AB'' is parallel to line ''CD''. In the Unicode character set, the "parallel" and "not parallel" signs have codepoint ...
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Horizon
The horizon is the apparent line that separates the surface of a celestial body from its sky when viewed from the perspective of an observer on or near the surface of the relevant body. This line divides all viewing directions based on whether it intersects the relevant body's surface or not. The ''true horizon'' is a theoretical line, which can only be observed to any degree of accuracy when it lies along a relatively smooth surface such as that of Earth's oceans. At many locations, this line is obscured by terrain, and on Earth it can also be obscured by life forms such as trees and/or human constructs such as buildings. The resulting intersection of such obstructions with the sky is called the ''visible horizon''. On Earth, when looking at a sea from a shore, the part of the sea closest to the horizon is called the offing. Pronounced, "Hor-I-zon". The true horizon surrounds the observer and it is typically assumed to be a circle, drawn on the surface of a perfectly spherica ...
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Photography
Photography is the art, application, and practice of creating durable images by recording light, either electronically by means of an image sensor, or chemically by means of a light-sensitive material such as photographic film. It is employed in many fields of science, manufacturing (e.g., photolithography), and business, as well as its more direct uses for art, film and video production, recreational purposes, hobby, and mass communication. Typically, a lens is used to focus the light reflected or emitted from objects into a real image on the light-sensitive surface inside a camera during a timed exposure. With an electronic image sensor, this produces an electrical charge at each pixel, which is electronically processed and stored in a digital image file for subsequent display or processing. The result with photographic emulsion is an invisible latent image, which is later chemically "developed" into a visible image, either negative or positive, depending on the purp ...
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Kirsti Andersen
Kirsti Andersen (born December 9, 1941, Copenhagen), published under the name Kirsti Pedersen, is a Danish historian of mathematics. She is an Associate Professor of the History of Science at Aarhus University, where she had her Candidate examination in 1967. Work Andersen has written on the early history of mathematical analysis (for example, Cavalieri and Roberval). She has also written extensively on the history of graphical perspective. In a 1985 article she related the science of perspective as described by Simon Stevin, Frans van Schooten, Willem 's Gravesande, Brook Taylor, and Johann Heinrich Lambert. In a 1987 article she examined the ancient roots of linear perspective as found in Euclid's Optics and Ptolemy (Geography and Planisphaerium). In 1991 she recalled Desargues’ method of perspective. In 1992 her book on Brook Taylor appeared, and she wrote on the alternative "plan and elevation technique". In 2007 her ''The Geometry of an Art'' provided a comprehensive ...
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