- homogeneous coordinates
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однородные координаты
Англо-русский словарь технических терминов. 2005.
homogeneous coordinates
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Homogeneous coordinates — In mathematics, homogeneous coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul [ [http://www history.mcs.st andrews.ac.uk/Biographies/Mobius.html Mobius biography ] ] , allow affine transformations to be … Wikipedia
homogeneous coordinates — vienalytės koordinatės statusas T sritis fizika atitikmenys: angl. homogeneous coordinates vok. homogene Koordinaten, f rus. однородные координаты, f pranc. coordonnées homogènes, f … Fizikos terminų žodynas
Homogeneous coordinate system — A homogeneous coordinate system is a coordinate system in which there is an extra dimension, used most commonly in computer science to specify whether the given coordinates represent a vector (if the last coordinate is zero) or a point (if the… … Wikipedia
Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… … Wikipedia
Homogeneous space — In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A… … Wikipedia
Homogeneous (mathematics) — In mathematics, homogeneous may refer to:*Homogeneous polynomial, in algebra *Homogeneous function *Homogeneous equation, in particular: Homogeneous differential equation *Homogeneous system of linear equations, in linear algebra *Homogeneous… … Wikipedia
Line coordinates — In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position of a point. Contents 1 Lines in the plane 2 Tangential equations 3 Tangential equation of… … Wikipedia
Barycentric coordinates (mathematics) — In mathematics, barycentric coordinates are coordinates defined by the vertices of a simplex (a triangle, tetrahedron, etc). Barycentric coordinates are a form of homogeneous coordinates.Let x 1, ..., x n be the vertices of a simplex in a vector… … Wikipedia
Plücker coordinates — In geometry, Plücker coordinates, introduced by Julius Plücker in the 19th century, are a way to assign six homogenous coordinates to each line in projective 3 space, P 3. Because they satisfy a quadratic constraint, they establish a one to one… … Wikipedia
Clip coordinates — The clip coordinate system is a homogeneous coordinate system in the graphics pipeline. In OpenGL, clip coordinates are positioned in the pipeline just after eye or camera coordinates and just before normalized device coordinates. Objects are… … Wikipedia
Trilinear coordinates — In geometry, the trilinear coordinates of a point relative to a given triangle describe the relative distances from the three sides of the triangle. Trilinear coordinates are an example of homogeneous coordinates. They are often called simply… … Wikipedia
