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Projection of a 3D object onto a plane via parallel rays
parallel projection (or axonometric projection) is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane
Parallel_projection
Means of projecting three-dimensional objects in two dimensions
Orthographic projection is a form of parallel projection in which all the projection lines are orthogonal to the projection plane, resulting in every plane
Orthographic_projection
Cylindrical conformal map projection
The Mercator projection (/mərˈkeɪtər/) is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator
Mercator_projection
Systematic representation of the surface of a sphere or ellipsoid onto a plane
a projection is to use Tissot's indicatrix. For a given point, using the scale factor h along the meridian, the scale factor k along the parallel, and
Map_projection
Type of technical drawing
drawing surface (projection plane). In both oblique projection and orthographic projection, parallel lines of the source object produce parallel lines in the
Oblique_projection
Design technique
surface, a parallel projection may be used. Examples of parallel projections: Multiview projection (elevation) Isometric projection Military projection Cabinet
3D_projection
Technique of illustration
pictures of an object are produced (called primary views), with each projection plane parallel to one of the coordinate axes of the object. The views are positioned
Multiview orthographic projection
Multiview_orthographic_projection
Method for visually representing three-dimensional objects
advent of visual computing". As with all types of parallel projection, objects drawn with isometric projection do not appear larger or smaller as they extend
Isometric_projection
Type of orthographic projection
axonometric projection could encompass every type of parallel projection, including not only orthographic projection (and multiview projection), but also
Axonometric_projection
Four-dimensional analogue of the cube
envelope under vertex-first projection. The two remaining cells project onto the prism bases. The vertex-first parallel projection of the tesseract into three-dimensional
Tesseract
Conic conformal map projection
lies largely between the two standard parallels. Unlike other conic projections, no true secant form of the projection exists because using a secant cone
Lambert conformal conic projection
Lambert_conformal_conic_projection
Mapping equal to its square under mapping composition
terminology). The projection of the point C itself is not defined. The projection parallel to a direction D, onto a plane or parallel projection: The image of
Projection_(mathematics)
Type of video game graphics
digital art that produce a three-dimensional (3D) effect through parallel projection; which angles the viewpoint to reveal facets of the environment that
Isometric_video_game_graphics
Concept in linear algebra
vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b a {\displaystyle \operatorname
Vector_projection
Process of projecting a 3D object onto a 2D plane
axonometric procedure is a uniformly-scaled parallel projection of the object. In general, the resulting parallel projection is oblique (the rays are not perpendicular
Axonometry
Cylindrical equidistant map projection
constant intervals of parallels). The projection is neither equal area nor conformal. Because of the distortions introduced by this projection, it has little
Equirectangular_projection
Geographic notion
the circles of latitude may or may not be parallel, and their spacing may vary, depending on which projection is used to map the surface of the Earth onto
Circle_of_latitude
Pseudocylindrical compromise map projection
The Robinson projection is a map projection of a world map that shows the entire world at once. It was created in an attempt to find a good compromise
Robinson_projection
Particular mapping that projects a sphere onto a plane
stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane
Stereographic_projection
and are not parallel. With parallel projection the lines of sight from the object to the projection plane are parallel. Perspective projection of triangle
Projection_plane
Region of space in the modeled world that may appear on the screen
origin of the VRC. PRP the projection reference point – the point where the image is projected from, for parallel projection, the PRP is at infinity. VRC
Viewing_frustum
regularly spaced along parallels. Conic In normal aspect, conic (or conical) projections map meridians as straight lines, and parallels as arcs of circles
List_of_map_projections
3D projection in which points in 3D space are linearly mapped onto a 2D plane
projectors are parallel, and the corresponding subset of planar projections are referred to as parallel projections. Mathematically, planar projections are linear
Planar_projection
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
Conic equal-area map projection
Albers equal-area conic projection, or Albers projection, is a conic, equal area map projection that uses two standard parallels. Although scale and shape
Albers_projection
Pseudocylindrical equal-area map projection
of the Equal Earth projection include: The curved sides of the projection suggest the spherical form of Earth. Straight parallels make it easy to compare
Equal_Earth_projection
Form of graphical projection where the projection lines converge to one or more points
aligned recession in parallel. An important factor here is the use of long scrolls, which even now make fully coherent perspective projection unsuitable. Martijn
Perspective_(graphical)
Pseudocylindrical equal-area map projection
known as the Babinet projection, homalographic projection, homolographic projection, and elliptical projection. The projection trades accuracy of angle
Mollweide_projection
Graphical projection from 3D to 2D which tends to curve straight lines
{sphere} }=(x,y,z)*\left({\frac {R}{d}}\right)} Then, we do a parallel projection that is parallel with the z-axis to project the point on the sphere onto the
Curvilinear_perspective
Projection of a sphere through its center onto a plane
gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the
Gnomonic_projection
Pseudocylindrical equal-area map projection
pseudocylindrical projections. Within each pair, meridians are the same whereas parallels differ. Odd-numbered projections have parallels spaced equally
Eckert_IV_projection
Computer graphics related to video games
Within: A Gabriel Knight Mystery and Phantasmagoria. Games utilizing parallel projection typically make use of two-dimensional bitmap graphics as opposed
Video_game_graphics
Cylindrical equal-area map projection
is its standard parallel, but distortion increases rapidly towards the poles. Like any cylindrical projection, it stretches parallels increasingly away
Lambert cylindrical equal-area projection
Lambert_cylindrical_equal-area_projection
Method of projecting a sphere to the plane
limiting form of the Bonne projection, having its standard parallel at one of the poles (90°N/S). Distances along each parallel and along the central meridian
Werner_projection
Geometrical concept
mountains of equal elevation. In technical drawing a cross section, being a projection of an object onto a plane that intersects it, is a common tool used to
Cross_section_(geometry)
Perimeter of a 3D object's parallel projection in a given direction
is the perimeter of its parallel projection in that direction. For instance, the girth of a unit cube in a direction parallel to one of the three coordinate
Girth_(geometry)
Elevated view of an object or location from above
bird's-eye view and a bird's-flight view, or "view-plan in isometrical projection". Whereas a bird's-eye view shows a scene from a single viewpoint (real
Bird's-eye_view
Conic equidistant map projection
The equidistant conic projection is a conic map projection commonly used for maps of small countries as well as for larger regions such as the continental
Equidistant_conic_projection
Public Domain Java perspective projection Yes 4D Building Blocks puzzle Henryk Trappmann 2006 ? Java parallel projection Yes 4D Games sandbox / variety
List of four-dimensional games
List_of_four-dimensional_games
Idempotent linear transformation from a vector space to itself
In linear algebra and functional analysis, a projection is a linear transformation P {\displaystyle P} from a vector space to itself (an endomorphism)
Projection_(linear_algebra)
Four-dimensional analog of the octahedron
envelope are analogous to that of the cell-first parallel projection. The vertex-first parallel projection of the 16-cell into 3-space has an octahedral
16-cell
Theorem in mathematics
that projection. Take that same function, but do a two-dimensional Fourier transform first, and then slice the function through its origin, parallel to
Projection-slice_theorem
Artistic concept relating to perspective
two-dimensional perspective projections of parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to
Vanishing_point
Optical distortion used in art
Anamorphosis is a distorted projection that requires the viewer to occupy a specific vantage point, use special devices, or both to view a recognizable
Anamorphosis
Quadric surface that looks like a deformed sphere
on the left a parallel projection of an ellipsoid (with semi-axes 60, 40, 30) along an asymptote and on the right a central projection with center V and
Ellipsoid
View of an object or location from below
Graphical projection Planar projections Parallel projection Orthographic projection Isometric projection Oblique projection Perspective projection Curvilinear
Worm's-eye_view
Pseudocylindrical equal-area map projection
sinusoidal projection is a pseudocylindrical equal-area map projection, sometimes called the Sanson–Flamsteed or the Mercator equal-area projection. Jean Cossin
Sinusoidal_projection
Pseudoazimuthal compromise map projection
the projection, φ {\displaystyle \varphi } is the latitude, φ {\displaystyle \varphi } 1 is the standard parallel for the equirectangular projection, sinc
Winkel_tripel_projection
Architectural drawing showing interior layout of a building
of a structure. They are typically drawn to-scale and in orthographic projection to represent relationships without distortion. They are usually drawn
Floor_plan
Adaptation of the standard Mercator projection
The transverse Mercator map projection (TM, TMP) is an adaptation of the standard Mercator projection. The transverse version is widely used in national
Transverse Mercator projection
Transverse_Mercator_projection
Cylindrical equal-area map projection
standard parallels, which are parallels along which the projection has no distortion. In the case of the Behrmann projection, the standard parallels are 30°N
Behrmann_projection
Topics referred to by the same term
strength training. Isometric video game graphics, a near-isometric parallel projection used in computer art. Isometric joystick, a type of pointing stick
Isometric
Central object in linear algebra; mapping vectors to vectors
perspective projections. Another type of transformation, of importance in 3D computer graphics, is the perspective projection. Whereas parallel projections are
Transformation_matrix
are parallel to the projection plane. For example, in a top view of a pyramid, which is an orthographic projection, the base edges (which are parallel to
True_length
Estimate object properties from a finite number of projections
system of parallel projection, as used in the first scanners. For this discussion we consider the data to be collected as a series of parallel rays, at
Tomographic_reconstruction
Type of technical diagram
assembly and maintenance manuals and other instructional material. The projection of an exploded view is usually shown from above and slightly in diagonal
Exploded-view_drawing
Geometric transformation that preserves lines but not angles nor the origin
{\displaystyle f\colon \,{\mathcal {A}}\to {\mathcal {B}}} is a parallel projection or, more generally, is generated by an axonometry, then f {\displaystyle
Affine_transformation
Topics referred to by the same term
synonym for great circle, a geodesic on the sphere Orthographic projection, a parallel projection onto a perpendicular plane Orthomyxovirus, a family of viruses
Ortho
Image plane located between an eye point and an object
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
Picture_plane
Two-dimensional area measurement of a three-dimensional object projected onto a plane
The geometrical definition of a projected area is the rectilinear parallel projection of a surface of any shape onto a plane:[citation needed] A projected
Projected_area
Interpretation of out-of-body experiences
In esotericism, astral projection (also known as astral travel, soul journey, soul wandering, spiritual journey, spiritual travel) is an intentional out-of-body
Astral_projection
Map projection
to be the same projection. The Bonne projection maintains accurate shapes of areas along the central meridian and the standard parallel, but progressively
Bonne_projection
Plane curve: conic section
a central projection onto an image plane, that is, all projection rays pass a fixed point O, the center. The lens plane is a plane parallel to the image
Hyperbola
Drawings or diagrams used to describe an object
object, and a type of projection. These projection types are: Parallel projection Orthographic projection Multiview projection, including: Plan view or
Plan_(drawing)
Ratio of distance on a map to the corresponding distance on the ground
area projection. These last two projections have a parallel scale identical to that of the Mercator plot. For the Lambert note that the parallel scale
Scale_(map)
Virtual device projected onto a surface
A projection keyboard is a form of computer input device whereby the image of a virtual keyboard is projected onto a surface: when a user touches the surface
Projection_keyboard
Catalan solid with 12 faces
cross-section of a 24-cell, and also forms the hull of its vertex-first parallel projection into three dimensions. The rhombic dodecahedron can be decomposed
Rhombic_dodecahedron
Pseudocylindrical equal-area map projection
Goode homolosine projection (or interrupted Goode homolosine projection) is a pseudocylindrical, equal-area, composite map projection used for world maps
Goode_homolosine_projection
Geographic coordinate specifying north-south position
On map projections there is no universal rule as to how meridians and parallels should appear. The examples below show the named parallels (as red lines)
Latitude
Pseudoconical equal-area map projection
meridian, and φ1 is the given parallel of the projection which determines its shape, all in radians. The inverse projection is then given by: φ = π 2 −
Bottomley_projection
Pseudoazimuthal equal-area map projection
projection is an equal-area map projection described by Ernst Hammer in 1892. Using the same 2:1 elliptical outer shape as the Mollweide projection,
Hammer_projection
Pseudocylindrical equal-area map projection
the even-numbered projection has parallels spaced to preserve area. The pair to Eckert II is the Eckert I projection. The projection is symmetrical about
Eckert_II_projection
Map projection in which every angle between two curves that cross each other is preserved
location, which explains the distortion of the conformal projection. In a conformal projection, parallels and meridians cross rectangularly on the map; but not
Conformal_map_projection
Class of map projections
polyconic projection Rectangular polyconic projection Van der Grinten projection—projects entire earth into one circle; all meridians and parallels are arcs
Polyconic_projection_class
Polyhedral compromise map projection
The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement
Waterman_butterfly_projection
first parallel projection of the runcitruncated tesseract into 3-dimensional space, the projection image is laid out as follows: The projection envelope
Runcinated_tesseracts
Concept in geometry
grew out of a study of graphical perspective where a parallel projection arises as a central projection where the center C is a point at infinity, or figurative
Point_at_infinity
Diagram of an object with segments removed to show the interior
technical drawings: Cross-section Perspective Multiview orthographic projection Exploded view drawing J. Diepstraten, D. Weiskopf & T. Ertl (2003). "Interactive
Cutaway_drawing
Type of tesseract
truncated cube first parallel projection of the truncated tesseract into 3-dimensional space, the image is laid out as follows: The projection envelope is a
Truncated_tesseract
Bone structure of the thorax
and abdominal muscles. Human rib cage - CT scan (parallel projection (left) and perspective projection (right)) true / fixed ribs false ribs false
Rib_cage
Pseudocylindrical compromise map projection
The Natural Earth projection is a pseudocylindrical map projection designed by Tom Patterson and introduced in 2008. It is neither conformal nor equal-area
Natural_Earth_projection
Temporary dwelling used by Israelites in the biblical Book of Exodus
Hebrew Bible; 13 of these refer to the roof coverings. Top view, parallel projection of tabernacle. Tabernacle Tent dimensions according to the Book of
Tabernacle
Photogrammetry software
automatic calibration, polygon mesh calculation, coloring, texturing, parallel projections, georeferencing, Digital Surface Model (DSM) generation, coordinate
RealityCapture
Family of map projections
equal-area projection is a family of normal cylindrical, equal-area map projections. The invention of the Lambert cylindrical equal-area projection is attributed
Cylindrical equal-area projection
Cylindrical_equal-area_projection
{O}}} , which are not contained in a line, can be considered as the parallel projection of three edges O U , O V , O W {\displaystyle OU,OV,OW} of a cube
Pohlke's_theorem
Geometrical body
Every parallel projection of a surface of constant width is a curve of constant width. By Barbier's theorem, the perimeter of this projection is π times
Surface_of_constant_width
Distance between linear operators
-C(s)]} has a geometric significance as being the parallel projection onto the graph of P along the graph of C. This concept was extended
Gap_metric
Simulation of the appearance of being three-dimensional
frontal view and a side view. In axonometric projection and oblique projection, two forms of parallel projection, the viewpoint is rotated slightly to reveal
2.5D
Plane curve
ellipse: that is, the ellipse is the image of a circle under parallel or perspective projection. The ellipse is also the simplest Lissajous figure formed
Ellipse
Map projection
isographic projection is a specific instance of equirectangular projection such that its standard parallels are north and south 45°. The projection is named
Gall_isographic_projection
Pseudocylindrical equal-area map projection
HEALPix projection, replace φ and y with -φ and -y. The standard parallel is 15°51′N. List of map projections Tobler hyperelliptical projection family
Collignon_projection
In art, a form of perspective drawing
linear perspective where closer objects appear larger. Lines that are parallel in three-dimensional space are drawn as diverging against the horizon,
Reverse_perspective
Pseudoconical compromise map projection
of Surveying and Mapping and other publishers. As a polyconic projection, the parallels are arcs of circles that are not concentric. The points of no
Latitudinally equal-differential polyconic projection
Latitudinally_equal-differential_polyconic_projection
Uniform 4-polytope
is identical to its triangular-prism-first parallel projection. The square-face-first orthographic projection of the tetrahedral prism into 3D space has
Tetrahedral_prism
6 pseudocylindrical map projections devised by Max Eckert-Greifendorff
Eckert projections are six pseudocylindrical map projections devised by Max Eckert-Greifendorff, who presented them in 1906. The latitudes are parallel lines
Eckert_projection
Map projection historically used for maps of the United States
19th century. It belongs to the polyconic projection class, which consists of map projections whose parallels are non-concentric circular arcs except for
American_polyconic_projection
3D parallel projection Parallel projection of the rectified 120-cell into 3D, centered on an icosidodecahedral cell. Nearest cell to 4D viewpoint shown
Rectified_120-cell
Pseudocylindrical equal-area map projection
even-numbered projection has parallels spaced to preserve area. The pair to Eckert VI is the Eckert V projection. List of map projections Eckert II projection Eckert
Eckert_VI_projection
Wide-angle photographic lens with strong barrel distortion
Hill and Beck claimed in the patent that stereographic or equidistant projection were the preferred mapping functions. The three-element, three-group lens
Fisheye_lens
Type of particle detector
In physics, a time projection chamber (TPC) is a type of particle detector that uses a combination of electric fields and magnetic fields together with
Time_projection_chamber
PARALLEL PROJECTION
PARALLEL PROJECTION
Surname or Lastname
English
English : occupational name for a cook, Anglo-Norman French k(i)eu (from Latin coquus).English (of Norman origin) : habitational name from Caieu, a lost place near Boulogne in Northern France.English : habitational name from a place in Middlesex, now part of Greater London, probably named with Old English cÇ£g ‘key’, ‘projection’ + hÅh ‘spur of land’.Irish : Ulster variant of McHugh.
Surname or Lastname
English
English : occupational name from Middle English combere, an agent derivative of Old English camb ‘comb’, referring perhaps to a maker or seller of combs, or to someone who used them to prepare wool or flax for spinning. This was an alternative process to carding, and caused the wool fibers to lie more or less parallel to one another, so that the cloth produced had a hard, smooth finish without a nap.English : variant of Coomber.Probably an Americanized spelling of German Kommer or Kammer.
Girl/Female
Muslim
Example, Allegory, Parable
Biblical
a parable; governing
Girl/Female
Biblical
A parable, governing.
Boy/Male
Shakespearean
All's Well That Ends Well.' A follower of Bertram, Count of Rousillon.
Girl/Female
Biblical
Parables, governing.
Girl/Female
Arabic, Muslim
Example; Allegory; Parable
Surname or Lastname
English
English : topographic name for someone who lived on a projecting piece of land, from Middle English snoke ‘projection’. It is possible that this term was also used as a nickname for someone with a long nose.
Biblical
parables; governing
PARALLEL PROJECTION
PARALLEL PROJECTION
Boy/Male
Spanish
Gifted with many ideas.
Girl/Female
Tamil
Arundhathi | à®…à®°à¯à®‚ததீ
Wife of great sage vashishtha, One who is not restrained, Fidelity, A star
Girl/Female
Greek
Gift.
Girl/Female
Australian, Danish, German, Malaysian, Portuguese
Lily
Boy/Male
Celtic Arthurian Legend Welsh
Dearly loved.
Girl/Female
Tamil
Homage, Offring with both hands
Girl/Female
English
Blend of Cherie and Cerise: dear one; darling.
Boy/Male
Indian, Sikh
Self Song
Boy/Male
Arabic, Muslim, Pashtun
Long Strides; Panther Strides
Boy/Male
Hindu
A collection of lotus
PARALLEL PROJECTION
PARALLEL PROJECTION
PARALLEL PROJECTION
PARALLEL PROJECTION
PARALLEL PROJECTION
adv.
In a parallel manner; with parallelism.
n.
A comparison made; elaborate tracing of similarity; as, Johnson's parallel between Dryden and Pope.
v. i.
To be parallel; to correspond; to be like.
v. t.
To render parallel.
a.
Having opposite surfaces exactly plane and parallel, as a piece of glass.
n.
One of the imaginary circles on the surface of the earth, parallel to the equator, marking the latitude; also, the corresponding line on a globe or map.
n.
A line which, throughout its whole extent, is equidistant from another line; a parallel line, a parallel plane, etc.
v. t.
To represent by parable.
n.
One of a series of long trenches constructed before a besieged fortress, by the besieging force, as a cover for troops supporting the attacking batteries. They are roughly parallel to the line of outer defenses of the fortress.
n.
A comparison; a similitude; specifically, a short fictitious narrative of something which might really occur in life or nature, by means of which a moral is drawn; as, the parables of Christ.
a.
Meeting and intersecting, as lines; not parallel; -- opposed to parallel.
imp. & p. p.
of Parallel
a.
Continuing a resemblance through many particulars; applicable in all essential parts; like; similar; as, a parallel case; a parallel passage.
v. t.
To place or set so as to be parallel; to place so as to be parallel to, or to conform in direction with, something else.
v. t.
Fig.: To make to conform to something else in character, motive, aim, or the like.
v. t.
To equal; to match; to correspond to.
p. pr. & vb. n.
of Parallel
v. t.
To produce or adduce as a parallel.
n.
A character consisting of two parallel vertical lines (thus, ) used in the text to direct attention to a similarly marked note in the margin or at the foot of a page.
a.
Extended in the same direction, and in all parts equally distant; as, parallel lines; parallel planes.