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2D representation of a 3D surface
mathematics, geology, and cartography, a surface map is a 2D perspective representation of a 3-dimensional surface. Surface maps usually represent real-world entities
Surface_map
Systematic representation of the surface of a sphere or ellipsoid onto a plane
a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane. In a map projection
Map_projection
Map of most or all of the surface of the Earth
world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered
World_map
Mathematics of smooth surfaces
of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have
Differential geometry of surfaces
Differential_geometry_of_surfaces
Differential geometry topic
Gauss map of a surface is a function that maps each point in the surface to its normal direction, a unit vector that is orthogonal to the surface at that
Gauss_map
Polyhedral compromise map projection
The Dymaxion map projection, also called the Fuller projection, is a kind of polyhedral map projection of the Earth's surface onto the unfolded net of
Dymaxion_map
Symbolic depiction of spatial relationships
used for maps with scales ranging from about 1:250,000 to 1:1,000,000. Because map projections introduce distortion when the Earth's curved surface is represented
Map
One-dimensional complex manifold
surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can
Riemann_surface
Web mapping service
flat surface. In January 2019, Google Maps added speed trap and speed camera alerts as reported by other users. On October 17, 2019, Google Maps was updated
Google_Maps
Concept in algebraic geometry
del Pezzo surface map in pairs to the 28 bitangents of a quartic. Degree 3: these are essentially cubic surfaces in P3; the cubic surface is the image
Del_Pezzo_surface
Table of weather elements
location of features within the wind pattern. A popular type of surface weather map is the surface weather analysis, which plots isobars to depict areas of high
Weather_map
Transformation that preserves area measure of regions
In differential geometry, an equiareal map, sometimes called an authalic map, is a smooth map from one surface to another that preserves the areas of
Equiareal_map
Curve along which a 3-D surface is at equal elevation
map describing the intersection of a real or hypothetical surface with one or more horizontal planes. The configuration of these contours allows map readers
Contour_line
Equal-area pseudocylindrical global map projection
a sphere (180°/90°). Since the surface of a sphere cannot be mapped onto a plane without distortion, all (planar) maps distort shapes in one way or another
Equal_Earth_projection
theory, a map is a subdivision of a surface such as the Euclidean plane into interior-disjoint regions, formed by embedding a graph onto the surface and forming
Map_(graph_theory)
Type of map used in mathematics, particularly dynamical systems
mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit
Poincaré_map
Function, homomorphism, or morphism
from the process of making a geographical map: mapping the Earth surface to a sheet of paper. The term map may be used to distinguish some special types
Map_(mathematics)
Ratio of distance on a map to the corresponding distance on the ground
concept is complicated by the curvature of the Earth's surface, which forces scale to vary across a map. Because of this variation, the concept of scale becomes
Scale_(map)
Topics referred to by the same term
MAP, map, or physical map in Wiktionary, the free dictionary. A map is a symbolic visual representation of an area. Map or MAP may also refer to: Map
Map_(disambiguation)
Software environment vulnerable to attack
The attack surface of a software environment is the sum of the different points (for attack vectors) where an unauthorized user (the "attacker") can try
Attack_surface
Medium to large scale map that shows a precise map of the terrain
the main division of maps is into topographic and thematic maps. Topographic maps supply a general image of the earth's surface: roads, rivers, buildings
Topographic_map
Type of surface in automotive design
design, a class A surface is a freeform surface of high efficiency and quality, in terms of aesthetic reflectivity. Strictly, class A surfaces have curvature
Class_A_surface
3D model's surface projected to a 2D image
to be painted with color (and other surface attributes) from an ordinary image. The image is called a UV texture map. The UV mapping process involves assigning
UV_mapping
destination pixels. Bone Coordinate systems used to control surface deformation (via Weight maps) during skeletal animation. Typically stored in a hierarchy
Glossary_of_computer_graphics
Cylindrical conformal map projection
cylinder is unrolled onto a flat plane to make a map. In this interpretation, the scale of the surface is preserved exactly along the circle where the
Mercator_projection
Two-dimensional manifold
angles on the surface), a complex structure (making it possible to define holomorphic maps to and from the surface—in which case the surface is called a
Surface_(topology)
map projections that have articles of their own on Wikipedia or that are otherwise notable. Because there is no limit to the number of possible map projections
List_of_map_projections
Extraterrestrial geography
The surface color of the planet Mars appears reddish from a distance because of rusty atmospheric dust. From close up, it looks more of a butterscotch
Mars_surface_color
Area-preserving chaotic map from a square with side 2π onto itself
properties of chaos of the standard map were established by Boris Chirikov in 1969. This map describes the Poincaré's surface of section of the motion of a
Standard_map
Cold regions surrounding impact craters
collected over 500 billion radiometric measurements and mapped surface temperatures across the entire surface of the Moon. The instrument built composite coverage
Cold_spot_(astronomy)
Map that depicts the area accessible from a point within a time threshold
tool to visually detect abnormalities using body surface distribution. Early examples of Isochrone maps include the Galton's Isochronic Postal Charts and
Isochrone_map
Process for making elevation maps
shape-from-shading, is the process by which a 2-dimensional image of a surface is transformed into a surface map that represents different levels of elevation. It uses
Photoclinometry
Surface containing a line through every point
projective maps, and therefore are concepts of projective geometry. In algebraic geometry, ruled surfaces are sometimes considered to be surfaces in affine
Ruled_surface
Type of weather map
Surface weather analysis is a special type of weather map that provides a view of weather elements over a geographical area at a specified time based
Surface_weather_analysis
Conic conformal map projection
the Composition of Terrestrial and Celestial Maps). Conceptually, the projection conformally maps the surface of the Earth to a cone. The cone is unrolled
Lambert conformal conic projection
Lambert_conformal_conic_projection
The study of surface characteristics (or surface properties and processes) is a broad category of Mars science that examines the nature of the materials
Martian_surface
Areas of the brain
sensory stimulation. In some cases the sensory map is simply a topographic representation of a sensory surface such as the skin, cochlea, or retina. In other
Sensory_map
1507 German world map
map uses a modified Ptolemaic map projection with curved meridians to depict the entire surface of the Earth. In the upper-mid part of the main map there
Waldseemüller_map
Texturing technique for bumps/wrinkles in computer graphics
the surface or using an isosurface. There are two primary methods to perform bump mapping. The first uses a height map for simulating the surface displacement
Bump_mapping
Combinatorial representation of a graph on an orientable surface
A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding
Combinatorial_map
Rational surface in 5-dimensional projective space
denotes homogeneous coordinates. The map ν {\displaystyle \nu } is known as the Veronese embedding. The Veronese surface arises naturally in the study of
Veronese_surface
Hybrid tablet computer developed and manufactured by Microsoft
The first-generation Surface (launched as Surface with Windows RT, later marketed as Surface RT) is a hybrid tablet computer developed and manufactured
Surface_(2012_tablet)
Topics referred to by the same term
Map of the World or A Map of the World may refer to: World map, a map of most or all of the surface of the Earth A Map of the World, 1994 novel by Jane
Map_of_the_World
Image also containing data on distances of objects from the camera
computer vision, a depth map is an image or image channel that contains information relating to the distance of the surfaces of scene objects from a viewpoint
Depth_map
Study of the forms of land surfaces in earth
features of land surfaces. The topography of an area may refer to landforms and features themselves, or a description or depiction in maps. Topography is
Topography
Map which represents detailed maps with a grid overlay
location (such as a call number) represented within a grid overlaying the map's surface. Geospatial data is often preferred to political borders, which often
Index_map
The National Mine Map Repository (NMMR) is part of the United States Department of the Interior (DOI), Office of Surface Mining Reclamation and Enforcement
National_Mine_Map_Repository
Map of a planet's gravity levels and anomalies
for surface analysis on Earth. Other methods include analysis of artificial satellite orbital mechanics, which can allow comprehensive gravity maps of
Gravity_map
for coordinate mapping. In computer graphics, it most commonly maps an object's surface in R 2 {\displaystyle \mathbb {R} ^{2}} to a solid texture with
UVW_mapping
geological features of the planet Venus. It involves surface radar images of Venus, construction of geological maps, and the identification of stratigraphic units
Mapping_of_Venus
Mathematical function that preserves angles
example, in the case of very viscous free-surface flow around a semi-infinite wall, the domain can be mapped to a half-plane in which the solution is one-dimensional
Conformal_map
Concept in robotics
sensors built into the manipulation system, can be used to produce a surface map or contact model of the object being grasped. For a robot to autonomously
Contact_region
Texture mapping technique
Smooth Surfaces to Dense Polygon Meshes" by Krishnamurthy and Levoy, Proc. SIGGRAPH 1996, where this approach was used for creating displacement maps over
Normal_mapping
Data visualization technique
A heat map (or heatmap) is a two-dimensional data visualization technique that represents the magnitude of individual values within a dataset as a color
Heat_map
Height of a geographic location above a fixed reference point
gravitational surface (see Geodetic datum § Vertical datum). The term elevation is mainly used when referring to points on the Earth's surface, while altitude
Elevation
NATO standard for military map marking symbols
NATO Joint Military Symbology is the NATO standard for military map symbols. Originally published in 1986 as Allied Procedural Publication 6 (APP-6),
NATO_Joint_Military_Symbology
Shape of the ocean surface relative to the geoid
valleys of Earth's land surface depicted on a topographic map. These variations are expressed in terms of average sea surface height (SSH) relative to
Ocean_surface_topography
Measure of a two-dimensional surface
The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface
Surface_area
Cylindrical equal-area map projection
The Gall–Peters projection is a rectangular, equal-area map projection. Like all equal-area projections, it distorts most shapes. It is a cylindrical
Gall–Peters_projection
Mathematical concept
In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper morphism with connected fibers to an algebraic
Elliptic_surface
Dianalytic manifold of complex dimension 1
orientation-preserving) differentiable maps f:X→Y and g:Y→X that map boundary to boundary and satisfy fg = idY and gf = idX. Every Riemann surface (analytic manifold of
Klein_surface
Fourth planet from the Sun
today. It produced complete, extremely detailed maps of the Martian topography, magnetic field and surface minerals. Starting with these missions a range
Mars
Surface that locally minimizes its area
below). The term "minimal surface" is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint
Minimal_surface
Symmetric tessellation of a closed surface
In mathematics, a regular map is a symmetric tessellation of a closed surface. More precisely, a regular map is a decomposition of a two-dimensional manifold
Regular_map_(graph_theory)
Irreducible nodal surface
these K3 surfaces are also sometimes called Kummer surfaces. Other surfaces closely related to Kummer surfaces include Weddle surfaces, wave surfaces, and
Kummer_surface
quasi-hyperelliptic surface is a surface whose canonical divisor is numerically equivalent to zero, the Albanese mapping maps to an elliptic curve, and all
Hyperelliptic_surface
Third planet from the Sun
being an ocean world, the only one in the Solar System sustaining liquid surface water. Almost all of Earth's water is contained in its ocean, which covers
Earth
Topological theorem
theorem concerns the Gauss maps of minimal surfaces in the three-dimensional Euclidean space. It says that if a minimal surface is immersed and geodesically
Osserman–Xavier–Fujimoto theorem
Osserman–Xavier–Fujimoto_theorem
Planar maps require at most four colors
auf einseitigen Flächen" [Some remarks on the problem of map coloring on one-sided surfaces], Jahresbericht der Deutschen Mathematiker-Vereinigung, 19:
Four_color_theorem
Self-intersecting compact surface, an immersion of the real projective plane
that the Boy's surface is the image of the real projective plane, RP2 by a smooth map. That is, the parametrization of the Boy's surface is an immersion
Boy's_surface
Study of the fracture surfaces of materials
from images of the fracture surface known as fractographs and used in constructing diagrams. A schematic fracture surface map can be used to isolate and
Fractography
Map projection in which every angle between two curves that cross each other is preserved
World Maps (PDF). US Coast and Geodetic Survey Special Publication. Vol. 112. US GPO. Cox, Jacques-François (1935). "Répresentation de la surface entière
Conformal_map_projection
Map that uses pictures to represent features
Pictorial maps (also known as illustrated maps, panoramic maps, perspective maps, bird's-eye view maps, and geopictorial maps) depict a given territory
Pictorial_map
Method of defining surface detail on a computer-generated graphic or 3D model
unwrapping a 3D model (converting the surface of a 3D model into a 2D texture map), (2) applying a 2D texture map onto the surface of a 3D model, and (3) the 3D
Texture_mapping
Hopf, and Inoue surfaces Zariski surfaces, surfaces in finite characteristic that admit a purely inseparable dominant rational map from the projective
List of complex and algebraic surfaces
List_of_complex_and_algebraic_surfaces
Static pressure exerted by the weight of the Earth's atmosphere
on the atmospheric gases above the surface and is a function of the mass of the planet, the radius of the surface, and the amount and composition of the
Atmospheric_pressure
Relationship between an object and a representation of that object
The map–territory relation is the relationship between an object and a representation of that object, as in the relation between a geographical territory
Map–territory_relation
Self-intersecting, highly symmetrical mapping of the real projective plane into 3D space
In mathematics, the Roman surface or Steiner surface is a self-intersecting mapping of the real projective plane into three-dimensional space, with an
Roman_surface
its surface area is 68 km2 (26 sq mi). See on map Laguna Aricare is a lake in the Beni Department, Bolivia. At an elevation of 180 m, its surface area
List of lakes in Beni Department
List_of_lakes_in_Beni_Department
Evolution of the art and science of mapmaking
stone. Maps were produced extensively by ancient Babylon, Greece, Rome, China, and India. The earliest maps ignored the curvature of Earth's surface, both
History_of_cartography
Type of diffeomorphism or homeomorphism of a surface
specifically in topology, a pseudo-Anosov map is a type of a diffeomorphism or homeomorphism of a surface. It is a generalization of a linear Anosov
Pseudo-Anosov_map
2005 video game
surface, and the underground through gateways that are fixed on each map. The surface map features traditional RTS gameplay: the player builds and develops
Dungeons & Dragons: Dragonshard
Dungeons_&_Dragons:_Dragonshard
1513 Ottoman nautical chart
The Piri Reis map is a world map compiled in 1513 by the Ottoman admiral and cartographer Piri Reis. Approximately one third of the map survives, housed
Piri_Reis_map
Type of smooth complex surface of kodaira dimension 0
an elliptic K3 surface.) A stronger question that remains open is whether every complex K3 surface admits a nondegenerate holomorphic map from C 2 {\displaystyle
K3_surface
Solid rock under loose surface material
A geological map of an area will usually show the distribution of differing bedrock types, rock that would be exposed at the surface if all soil or
Bedrock
Topological space that locally resembles Euclidean space
portion of the circle will be mapped to both ends at once, losing invertibility. The sphere is an example of a surface. The unit sphere of implicit equation
Manifold
System to specify locations on Earth
position of any location on the surface of Earth, without consideration of altitude or depth. The visual grid on a map formed by lines of latitude and
Geographic_coordinate_system
Result of differential geometry proved by Gauss
cartography: it implies that no planar (flat) map of Earth can be perfect, even for a portion of the Earth's surface. Thus every cartographic projection necessarily
Theorema_Egregium
Type of surface in algebraic geometry
In algebraic geometry, a Fano surface is a surface of general type (in particular, not a Fano variety) whose points index the lines on a non-singular cubic
Fano_surface
Computer graphics technique
height map to cause an effect where the actual geometric position of points over the textured surface are displaced, often along the local surface normal
Displacement_mapping
Type of data visualization for geographic regions
choropleth map (from Ancient Greek χῶρος (khôros) 'area, region' and πλῆθος (plêthos) 'multitude') is a type of statistical thematic map that uses pseudocolour
Choropleth_map
Graph drawing used to study Riemann surfaces
Grothendieck. They outline the correspondence between maps on topological surfaces, maps on Riemann surfaces, and groups with certain distinguished generators
Dessin_d'enfant
Geographic coordinate specifying north-south position
geographic coordinate that specifies the north-south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that
Latitude
mathematics, a Zariski surface is a surface over a field of characteristic p > 0 such that there is a dominant inseparable map of degree p from the projective
Zariski_surface
Natural satellite orbiting Earth
the first near-global topographic map of the Moon, and the first global multispectral images of the lunar surface. In 1998, this was followed by the
Moon
Type of map projection
is a map projection that preserves relative area measure between any and all map regions. Equivalent projections are widely used for thematic maps showing
Equal-area_projection
Small, local deviations of a surface from a perfectly flat ideal
Surface finish, also known as surface texture or surface topography, is the nature of a surface as defined by the three characteristics of lay, surface
Surface_finish
square then any translation surface obtained from P {\displaystyle P} is called a square-tiled surface. The map from the surface to the flat torus obtained
Translation_surface
Type of mining in which the soil/rock above mineral deposits is removed
Surface mining, including strip mining, open-pit mining and mountaintop removal mining, is a broad category of mining in which soil and rock overlying
Surface_mining
Algebraic variety of dimension two
the birational geometry of surfaces is Castelnuovo's theorem. This states that any birational map between algebraic surfaces is given by a finite sequence
Algebraic_surface
travel, tourism, insurance
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travel, tourism, insurance