36 relations: Affine transformation, Analemma, Axonometric projection, Axonometry, Cartography, Clipping (computer graphics), Computer graphics, François d'Aguilon, Globe, Gnomonic projection, Great circle, Hipparchus, Homogeneous coordinates, Horizon, Infinity, Map projection, Multiview projection, Oblique projection, Orthogonality, Outer space, Parallel projection, Perspective (graphical), Plane (geometry), Pohlke's theorem, Projection (linear algebra), Projection plane, Scaling (geometry), Secant plane, Sphere, Stereographic projection, Tangent space, Three-dimensional space, Translation (geometry), Tuple, Two-dimensional space, Vitruvius.
In geometry, an affine transformation, affine mapBerger, Marcel (1987), p. 38.
In astronomy, an analemma (from Greek ἀνάλημμα analēmma "support") is a diagram showing the variation of the position of the Sun in the sky over the course of a year, as viewed at a fixed time of day and from a fixed location on the Earth.
Axonometric projection is a type of orthographic projection used for creating a pictorial drawing of an object, where the lines of sight are perpendicular to the plane of projection, and the object is rotated around one or more of its axes to reveal multiple sides.
Axonometry is a graphical procedure belonging to descriptive geometry that generates a planar image of a three-dimensional object.
Cartography (from Greek χάρτης chartēs, "papyrus, sheet of paper, map"; and γράφειν graphein, "write") is the study and practice of making maps.
Clipping, in the context of computer graphics, is a method to selectively enable or disable rendering operations within a defined region of interest.
Computer graphics are pictures and films created using computers.
François d'Aguilon (also d'Aguillon or in Latin Franciscus Aguilonius) (4 January 1567 – 20 March 1617) was a Belgian Jesuit mathematician, physicist and architect.
A globe is a spherical model of Earth, of some other celestial body, or of the celestial sphere.
A gnomonic map projection displays all great circles as straight lines, resulting in any straight line segment on a gnomonic map showing a geodesic, the shortest route between the segment's two endpoints.
A great circle, also known as an orthodrome, of a sphere is the intersection of the sphere and a plane that passes through the center point of the sphere.
Hipparchus of Nicaea (Ἵππαρχος, Hipparkhos) was a Greek astronomer, geographer, and mathematician.
In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcül, are a system of coordinates used in projective geometry, as Cartesian coordinates are used in Euclidean geometry.
The horizon or skyline is the apparent line that separates earth from sky, the line that divides all visible directions into two categories: those that intersect the Earth's surface, and those that do not.
Infinity (symbol) is a concept describing something without any bound or larger than any natural number.
A map projection is a systematic transformation of the latitudes and longitudes of locations from the surface of a sphere or an ellipsoid into locations on a plane.
In technical drawing and computer graphics, a multiview projection is a technique of illustration by which a standardized series of orthographic two-dimensional pictures is constructed to represent the form of a three-dimensional object.
Oblique projection is a simple type of technical drawing of graphical projection used for producing two-dimensional images of three-dimensional objects.
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
Outer space, or just space, is the expanse that exists beyond the Earth and between celestial bodies.
A parallel projection is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane or image plane, where the rays, known as lines of sight or projection lines, are parallel to each other.
Perspective (from perspicere "to see through") in the graphic arts is an approximate representation, generally on a flat surface (such as paper), of an image as it is seen by the eye.
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
Pohlke's theorem is the fundamental theorem of axonometry.
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
A projection plane, or plane of projection, is a type of view in which graphical projections from an object intersect.
In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.
A secant plane is a plane containing a nontrivial section of a sphere or an ellipsoid, or such a plane that a sphere is projected onto.
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other.
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
In mathematics, a tuple is a finite ordered list (sequence) of elements.
Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).
Marcus Vitruvius Pollio (c. 80–70 BC – after c. 15 BC), commonly known as Vitruvius, was a Roman author, architect, civil engineer and military engineer during the 1st century BC, known for his multi-volume work entitled De architectura.