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Characterization of distortion in map projections
cartography, a Tissot's indicatrix (English: /tiːˈsoʊ/, French: [tiso]; plural: "Tissot's indicatrices"), or Tissot indicatrix, Tissot's ellipse, Tissot ellipse
Tissot's_indicatrix
Adaptation of the standard Mercator projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Transverse Mercator projection
Transverse_Mercator_projection
Topics referred to by the same term
the local shape of a surface Tissot's indicatrix, which describes and visualizes the distortion of a map Tangent indicatrix, an object in differential geometry
Indicatrix
Ratio of distance on a map to the corresponding distance on the ground
varies noticeably, it can be accounted for as the scale factor. Tissot's indicatrix is often used to illustrate the variation of point scale across a
Scale_(map)
Cylindrical conformal map projection
showing the distortion inherent in a projection is to use Tissot's indicatrix. Nicolas Tissot noted that the scale factors at a point on a map projection
Mercator_projection
Equal-area pseudocylindrical global map projection
another. The distortion can be visualized using an index called "Tissot's Indicatrix", which shows how the size and shape of an infinitesimal circular
Equal_Earth_projection
Systematic representation of the surface of a sphere or ellipsoid onto a plane
described of showing the distortion in projections. Like Tissot's indicatrix, the Goldberg-Gott indicatrix is based on infinitesimals, and depicts flexion and
Map_projection
Pseudocylindrical compromise map projection
The Robinson projection with Tissot's indicatrix of deformation
Robinson_projection
Conic conformal map projection
The Lambert conformal conic projection with standard parallels at 15°N and 45°N, with Tissot's indicatrix of deformation.
Lambert conformal conic projection
Lambert_conformal_conic_projection
French cartographer (1824–1907)
analysis of the distortion that occurs on map projections. He devised Tissot's indicatrix, or distortion circle, which when plotted on a map will appear as
Nicolas_Auguste_Tissot
Pseudoazimuthal compromise map projection
against their measures of distortion, producing minimal distance, Tissot indicatrix ellipticity and area errors, and the least skew of any of the projections
Winkel_tripel_projection
Topics referred to by the same term
Tissot is a Swiss watchmaking firm founded in 1853. Tissot may also refer to: Tissot's indicatrix, method of comparing map projections devised by Nicolas
Tissot_(disambiguation)
Conic equal-area map projection
The Albers projection with standard parallels 15°N and 45°N, with Tissot's indicatrix of deformation
Albers_projection
Azimuthal equidistant map projection
Tissot's indicatrix applied to the azimuthal equidistant projection: The orange spots on the map are all circular on the sphere. The more the circular
Azimuthal equidistant projection
Azimuthal_equidistant_projection
Pseudocylindrical equal-area map projection
The Mollweide projection with Tissot's indicatrix of deformation
Mollweide_projection
Polyhedral compromise map projection
Fuller projection and Strebe's Dymaxion-like conformal projection with Tissot's indicatrices at 30° intervals A 1967 Jasper Johns painting, Map (Based
Dymaxion_map
Cylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Gall–Peters_projection
Mercator variant map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Web_Mercator_projection
Pseudocylindrical equal-area map projection
Tissot indicatrix on Goode homolosine projection, 15° graticule.
Goode_homolosine_projection
Cylindrical equidistant map projection
Equirectangular projection with Tissot's indicatrix of deformation and with the standard parallels lying on the equator
Equirectangular_projection
Pseudocylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Eckert_IV_projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
List_of_map_projections
Video projection technique
the distribution of pixel density (which can be visualized with Tissot's indicatrix) is suboptimal, with the usually more important "equator" getting
360_video_projection
Pseudocylindrical compromise map projection
The natural Earth projection with Tissot's indicatrix of deformation
Natural_Earth_projection
Azimuthal perspective map projection
The orthographic projection with Tissot's indicatrix of deformation
Orthographic_map_projection
Pseudoazimuthal equal-area map projection
The Hammer projection with Tissot's indicatrix of deformation
Hammer_projection
Type of map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Equal-area_projection
Pseudocylindrical compromise map projection
The Kavrayskiy VII projection with Tissot's indicatrix of deformation
Kavrayskiy_VII_projection
Type of conformal map projection
The stereographic projection with Tissot's indicatrix of deformation.
Stereographic_map_projection
Projection of a sphere through its center onto a plane
The gnomonic projection with Tissot's indicatrix of deformation
Gnomonic_projection
Pseudocylindrical equal-area map projection
The sinusoidal projection with Tissot's indicatrix of deformation
Sinusoidal_projection
Polyhedral compromise map projection
The Waterman projection with Tissot's indicatrix of deformation
Waterman_butterfly_projection
Polyhedral compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
AuthaGraph_projection
Pseudocylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
HEALPix
Pseudoazimuthal compromise map projection
The Aitoff projection with Tissot's indicatrix of deformation
Aitoff_projection
Map projection by Max Eckert-Greifendorff
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Eckert-Greifendorff projection
Eckert-Greifendorff_projection
Compromise map projection
Tissot indicatrix on Raisz armadillo projection, 15° graticule. Color shows angular deformation and areal inflation/deflation in a bivariate scheme: The
Armadillo_projection
Conformal map projection
The Peirce quincuncial projection with Tissot's indicatrix of deformation.
Peirce_quincuncial_projection
East-West geographic coordinate
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Longitude
Compromise map projection
The Van der Grinten projection with Tissot's indicatrix of deformation
Van_der_Grinten_projection
Cylindrical perspective map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Central cylindrical projection
Central_cylindrical_projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
List of national coordinate reference systems
List_of_national_coordinate_reference_systems
Region of chromaticity diagram
ability, as tested by previous behavioral experiments. Metric tensor Tissot's indicatrix, used to characterize distortions in map projections Mahalanobis
MacAdam_ellipse
Azimuthal equal-area map projection
The Lambert azimuthal equal-area projection with Tissot's indicatrix of deformation.
Lambert azimuthal equal-area projection
Lambert_azimuthal_equal-area_projection
Pseudocylindrical compromise map projection
Tissot indicatrix on Ortelius oval projection, 15° graticule. Color shows angular deformation and areal inflation/deflation in a bivariate scheme: The
Ortelius_oval_projection
Pseudoconical compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Rectangular polyconic projection
Rectangular_polyconic_projection
Map projection
Bonne projection with Tissot's indicatrix of deformation.
Bonne_projection
Cylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Behrmann_projection
Cylindrical equal-area map projection
Lambert cylindrical equal-area projection with Tissot's indicatrix of deformation
Lambert cylindrical equal-area projection
Lambert_cylindrical_equal-area_projection
Places where the globe has been split in a map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Interruption_(map_projection)
Map projection in which every angle between two curves that cross each other is preserved
the ratio of two lengths in the small domain. All of the projection's Tissot's indicatrices are circles. Conformal projections preserve only small figures
Conformal_map_projection
Geographic coordinate specifying north-south position
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Latitude
Cylindrical compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Miller_cylindrical_projection
World map projection
means more distortion. Neutral color means distortion is balanced between angular deformation and areal inflation. Tissot indicatrix at 15° intervals.
Nicolosi_globular_projection
Conic equidistant map projection
The equidistant conic projection with Tissot's indicatrix of deformation. Standard parallels of 15°N and 45°N.
Equidistant_conic_projection
Map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Space-oblique Mercator projection
Space-oblique_Mercator_projection
Pseudocylindrical equal-area map projection
Tissot indicatrix on Boggs eumorphic projection, 15° graticule, gradations every 10° of angular deformation.
Boggs_eumorphic_projection
Pseudocylindrical equal-area map projection
The Tobler hyperelliptical projection with Tissot's indicatrix of deformation; α = 0, k = 3
Tobler hyperelliptical projection
Tobler_hyperelliptical_projection
Six pseudocylindrical map projections
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Eckert_projection
Cylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Hobo–Dyer_projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Chamberlin trimetric projection
Chamberlin_trimetric_projection
Cylindrical compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Gall_stereographic_projection
Family of map projections
The Lambert (standard parallel at 0°, normal) cylindrical equal-area projection with Tissot's indicatrix of deformation
Cylindrical equal-area projection
Cylindrical_equal-area_projection
Result of differential geometry proved by Gauss
Each orange spot is a Tissot's indicatrix showing how identical infinitesimal circles are distorted at each point.
Theorema_Egregium
Conformal map projection
The Adams doubly periodic projection with Tissot's indicatrix of deformation.
Adams hemisphere-in-a-square projection
Adams_hemisphere-in-a-square_projection
Polyhedral conformal map projection
The Lee conformal world in a tetrahedron with Tissot's indicatrix of deformation.
Lee conformal world in a tetrahedron
Lee_conformal_world_in_a_tetrahedron
Map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Gall_isographic_projection
Polyhedral equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Quadrilateralized spherical cube
Quadrilateralized_spherical_cube
Oblique stereographic map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Roussilhe oblique stereographic projection
Roussilhe_oblique_stereographic_projection
Map possibly by Leonardo da Vinci c. 1514
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Leonardo's_world_map
Map projection historically used for maps of the United States
American polyconic projection with Tissot's indicatrix of deformation
American_polyconic_projection
Method of projecting a sphere to the plane
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Werner_projection
Polyhedral compromise map projection
The Cahill–Keyes projection with Tissot's indicatrix of deformation
Cahill–Keyes_projection
Pseudocylindrical equal-area map projection
be published by Édouard Collignon in 1865 and subsequently cited by A. Tissot in 1881. For the smallest choices of the parameters chosen for this projection
Collignon_projection
Particular mapping that projects a sphere onto a plane
north of 30°S. 15° graticule. The stereographic projection with Tissot's indicatrix of deformation. The stereographic is the only projection that maps
Stereographic_projection
Map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Oblique_Mercator_projection
Map projection
with Tissot's indicatrix of deformation. The indicatrix is omitted at the singular points. At those points the deformation is infinite; the indicatrix would
Guyou hemisphere-in-a-square projection
Guyou_hemisphere-in-a-square_projection
Type of map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Polyhedral_map_projection
Pseudocylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Eckert_II_projection
Parameter defined by the axis of the geomagnetic dipole
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Geomagnetic_latitude
Cylindrical equidistant map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Cassini_projection
Decade
Blackley. 1859 – French mathematician Nicolas Auguste Tissot first proposes Tissot's indicatrix in cartography. 1859 – Étienne Lenoir produces the first
1850s
Pseudocylindrical compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Loximuthal_projection
Assignment of a tensor continuously varying across a region of space
which is coordinate-free. Applied to the Earth's surface, this is Tissot's indicatrix. An intrinsic definition should specify tensor fields in a coordinate-independent
Tensor_field
Map projections devised by Oswald Winkel
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Winkel_projection
Retroazimuthal conformal map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Littrow_projection
Pseudoconical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Bottomley_projection
Homeomorphism between plane domains
coordinates Quasiregular map Pseudoanalytic function Teichmüller space Tissot's indicatrix Weber, Myles & Zorin 2012. Ahlfors, Lars (1935), "Zur Theorie der
Quasiconformal_mapping
Pseudocylindrical equal-area map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Eckert_VI_projection
Two-point equidistant map projection
Two-point equidistant projection of the entire world with Tissot's indicatrix of deformation. The two points are Rome and Luoyang.
Two-point equidistant projection
Two-point_equidistant_projection
Pseudoconical compromise map projection
With Tissot's indicatrix of deformation
Latitudinally equal-differential polyconic projection
Latitudinally_equal-differential_polyconic_projection
Pseudocylindrical compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Wagner_VI_projection
Azimuthal perspective map projection
The vertical perspective projection showing exactly one third of the Earth's surface, with Tissot's indicatrix of deformation.
General Perspective projection
General_Perspective_projection
convenient for areas in frequent communication to keep the same time. Tissot's indicatrix A mathematical contrivance used to illustrate the linear, angular
Glossary of geography terms (N–Z)
Glossary_of_geography_terms_(N–Z)
Class of map projections
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Polyconic_projection_class
Retroazimuthal compromise map projection
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Craig retroazimuthal projection
Craig_retroazimuthal_projection
Symbolic depiction of spatial relationships
The distortion of a projection can be visualized with Tissot's indicatrix.
Map
spherical cube Waterman butterfly See also Interruption (map projection) Latitude Longitude Tissot's indicatrix Map projection of the tri-axial ellipsoid
Wiechel_projection
Generalization of Riemannian manifolds
downhill. The geometry of a Finsler manifold may be visualized by the Tissot indicatrix construction, i.e. by drawing the balls of unit radius in the tangent
Finsler_manifold
American geographer
The Tobler hyperelliptical projection with Tissot's indicatrix of deformation; α = 0, k = 3
Waldo_R._Tobler
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TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
TISSOTS INDICATRIX
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