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Topic: Orthographic projection


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 PlaneView 3D Planar Geometric Projections Tutorial   (Site not responding. Last check: 2007-10-20)
Orthographic projections are one of two projection types derived by subdivision of the parallel projection subclass.
To project the top view of the 3-D object, the y-coordinates are discarded and the x- and z-coordinates for each point are mapped to the viewplane.
Trimetric projections have a potential disadvantage in that measurement of lines along the axes is difficult because of a difference in scaling factors.
www.mtsu.edu /~csjudy/planeview3D/tutorial-parallel.html   (1273 words)

  
 Orthographic projection - Wikipedia, the free encyclopedia
In first-angle projection, each view of the object is projected in the direction (sense) of sight of the object, onto the interior walls of the box i.e the each view of the object is drawn on the opposite side of the box:
In third-angle projection, each view of the object is projected opposite to the direction (sense) of sight, onto the (transparent) exterior walls of the box i.e, the each view of the object is drawn on the same side of the box:
While Third-Angle projections are prevalent in the USA and Canada, First-Angle projection is more popular in Europe and Asia.
www.wikipedia.org /wiki/Orthographic_projection   (881 words)

  
 map projection. The Columbia Encyclopedia, Sixth Edition. 2001-05
Some projections preserve correct relative distances in all directions from the center of the map (equidistant projection); some show areas equal to (equal-area projection) or shapes similar to (conformal projection) those on a globe of the same scale; some are useful in determining direction.
Projections are classified as cylindrical, conic, or azimuthal according to the method of projection with a light source; many projections that can be constructed only mathematically are also classified according to this system.
In all cylindrical projections the meridians of longitude, which on the globe converge at the poles, are parallel to one another; in the Mercator projection the parallels of latitude, which on the globe are equal distances apart, are drawn with increasing separation as their distance from the equator increases in order to preserve shapes.
www.bartleby.com /65/ma/mapproje.html   (905 words)

  
 OMC: supported projections
Projection number five (Azimuthal Equidistant Projection) returns a circular plot of the entire world with the area of interest as the center, distances measured from there are true.
It is a useful projection for a global view of locations at various or identical distance from a given point (the map center).
The projection is neither equal area nor conformal, and much distortion is introduced near the edge of a hemisphere.
www.aquarius.geomar.de /omc/omc_project.html   (628 words)

  
 Spherical Projections
We project the point through the center of the sphere and plot it, using some symbol or label to denote that the point is on the other side of the sphere.
We project the point orthographically toward the plane onto the other side of the sphere and plot it, again using some symbol or label to denote that the point is on the other side of the sphere.
Because all the projections are azimuthal, the azimuth of the projected point from (X = 0, Y = 0) is always the same as the azimuth on the sphere from (l = 0, w = 0).
www.uwgb.edu /dutchs/structge/sphproj.htm   (1580 words)

  
 Parallel Viewing Projections   (Site not responding. Last check: 2007-10-20)
Projection rays (projectors) emanate from a Center of Projection (COP) and intersect Projection Plane (PP).
Orthographic projections that show more than 1 side of an object are called axonometric orthographic projections.
The most common axonometric projection is an isometric projection where the projection plane intersects each coordinate axis in the model coordinate system at an equal distance.
www.siggraph.org /education/materials/HyperGraph/viewing/view3d/parallel.htm   (447 words)

  
 orthographic projection --  Encyclopædia Britannica
For example, an orthographic projection of a house typically consists of a top view, or plan, and a front view and one side view (front and side elevations).
The projection used for engineering and architectural drawings is called orthogonal (“right-angled”) or orthographic because the lines of sight from points on the object to the picture plane of the image are perpendicular to that plane.
In effect, a projection is a systematic method of drawing the Earth's meridians and parallels on a flat surface.
www.britannica.com /eb/article-9057491   (739 words)

  
 Orthographic Map Projection -- 3DSoftware.com   (Site not responding. Last check: 2007-10-20)
The Orthographic projection is an Azimuthal map projection.
The Orthographic projection has become popular since the first photographs were taken in space in the 1960s, and it is excellent for showing what the earth looks like from outer space.
Perspective projection of the globe onto a tangent plane from an infinite distance (that is, orthogonally); thus, the map has the look of a globe.
www.3dsoftware.com /Cartography/USGS/MapProjections/Azimuthal/Orthographic   (394 words)

  
 POV-Ray: Documentation: 2.3.1.2 Types of Projection
This projection is somewhat similar to the fisheye but it projects the image onto a rectangle instead of a circle.
There are four different types of cylindrical projections depending on the orientation of the cylinder and the position of the viewpoint.
The spherical projection is similar to the fisheye projection, in that the scene is projected on a sphere.
www.povray.org /documentation/view/3.6.1/247   (716 words)

  
 orthographic FAP projection
Orthographic projection is the technique most commonly used in the furniture and building industry in England and the UK for working drawings.
Orthographic Drawings (FAP), have a minimum of three views of the subject so that details all sides of the object may be scrutinised.
The object shown may be viewed from six different views but the main view that is readily recognisable is the front elevation and is the view one would recognise a door or window frame from or indeed the front of a building.
www.geoffswoodwork.co.uk /ortho_drawings.htm   (951 words)

  
 MathDL | Geometric Photo Manipulation
In orthographic projection [Figure 2(b)], we imagine that the eye of the observer is at infinity, and the observer views the scene along a fixed direction vector
As one can see from Figure 3, a cube drawn with a perspective projection has back edges that are smaller in size than the front edges, suggestive of the greater distance from the eye.
Both projection methods are fundamental in computer graphics, and I think a discussion of them can provide a compelling application of certain topics from calculus and linear algebra.
www.joma.org /mathDL/4?pa=content&sa=viewDocument&nodeId=465&pf=1   (2500 words)

  
 Map Projections: Azimuthal Projections   (Site not responding. Last check: 2007-10-20)
conformal projection: over a small area, angles in the map are the same as the corresponding angles on Earth's surface.
Because - in contrast to the azimuthal orthographic - scale is greatly stretched away from the center of the map, azimuthal stereographic maps are usually constrained to the hemisphere opposite the source point, or an even smaller region.
This unique projection's most important property is that every geodesic, including the Equator and all meridians, is mapped to a straight line, making easy finding the shortest route between any two points (but not the direction to follow).
www.progonos.com /furuti/MapProj/Normal/ProjAz/projAz.html   (836 words)

  
 Map Projection Overview
Map projections are attempts to portray the surface of the earth or a portion of the earth on a flat surface.
Gall's stereographic cylindrical projection results from projecting the earth's surface from the equator onto a secant cylinder intersected by the globe at 45 degrees north and 45 degrees south.
The Peters projection is a cylindrical equal-area projection that de-emphasizes area exaggerations in high latitudes by shifting the standard parallels to 45 or 47 degrees.
www.colorado.edu /geography/gcraft/notes/mapproj/mapproj.html   (1829 words)

  
 Intro to Orthographic Projection
Consider an object enclosed in an imaginary glass box, positioned such that the panes of glass are parallel to the major surfaces of the object and at 90 degrees to each other.
If one "projects" lines from the corners of the object (with each line at 90 degrees to a surface of the glass), until these lines intersect the glass, one can lay out 6 "views," each of which represents the object as it is "seen" by the various panes of glass.
There are a number of other systems of projection geometry in addition to the orthographic one: central (or perspective) projection, oblique projection, etc. In Scenery and Lighting Design, the expected technical drawings normally use the conventions of orthographic projection in order to specify the size, proportions, position, and spatial relationships of the objects designed.
www2.arts.ubc.ca /TheatreDesign/crslib/drft_1/orthint.htm   (597 words)

  
 Chapter 6 - Isometric Projection and Basic Shapes   (Site not responding. Last check: 2007-10-20)
In normal multi-view orthographic projection, the object is placed inside this imaginary glass box, so that the principal faces in the object are parallel to the faces of the glass box.
In isometric projection the object, instead of having its faces parallel to the plane, it is rotated and tilted in such a way that all the principal faces on the object are inclined.
The projected views are then drawn connected so that they do form an object rather than separated as they are for multi-view orthographic projection.
www.millville.org /Workshops_f/kess_mech/isometric/text.html   (540 words)

  
 Computer Aided Design - Angle Orthographic Projection   (Site not responding. Last check: 2007-10-20)
Orthographic drawings; Third angle projection; Sections; Orthographic drawing checklist One way of doing this is by orthographic projection.
Orthographic projection is a means of representing a three-dimensional In third-angle projection, each view of the object is projected opposite to the
Orthographic projection is the technique most commonly used in the Third Angle projection (TAP) which is widely used by North America and in the United
www.tedcad.co.uk /angle_orthographic_projection.html   (271 words)

  
 Orthographic projection (cartography) - Wikipedia, the free encyclopedia
In cartography, an orthographic projection normally is a two-dimensional map of a globe.
The shapes and areas are distorted, but distances are preserved along parallels.
For a simple orthographic projection, the following formulas can be used:
en.wikipedia.org /wiki/Orthographic_projection_(cartography)   (102 words)

  
 Azimuthal Projections   (Site not responding. Last check: 2007-10-20)
The gnomonic projection is the perspective, azimuthal projection with point of perspective at the center of the globe.
Hence, with the gnomonic projection, the interior of a hemispherical region of the globe is projected to the
The default clipping region for the gnomonic projection is a circle with a radius of 60 degrees at the center of projection.
idlastro.gsfc.nasa.gov /idl_html_help/projections9.html   (1384 words)

  
 Orthographic
This is a perspective projection of the globe onto a tangent plane from an infinite distance (i.e., orthogonally); thus, the map has the look of a globe.
The Orthographic projection is used by default within Manifold for images and drawings that are not otherwise georegistered.
Manifold uses Orthographic projection as a default projection when nothing is known about the geographic context of a component.
exchange.manifold.net /manifold/manuals/5_userman/mfd50Orthographic.htm   (926 words)

  
 Gall Orthographic Projection (Mapping Toolbox)   (Site not responding. Last check: 2007-10-20)
This is an orthographic projection onto a cylinder secant at the 45º parallels.
For this projection, the standard parallel is by definition fixed at 45º.
This projection is named for James Gall, who originated it in 1855 and is a special form of the Equal-Area Cylindrical projection secant at 45ºN and S. This projection is also known as the Peters projection.
www.tau.ac.il /cc/pages/docs/matlab/help/toolbox/map/gallorthographicprojectio.html   (131 words)

  
 Geographic Database Search Interfaces and the Equatorial Cylindrical Equidistant Projection
A map projection is a one to one mapping (in the mathematical sense) of points on the curved surface to points on the plane.
The ECE projection is attractive because the (lat, lon) coordinates are cartesian.
In an Orthographic projection centered on the center of the data (Figure 9) the data coverage area for the Russian eighth orbit is indeed nearly a nice rectangle.
chukchi.colorado.edu /PAPER   (10776 words)

  
 Perspective projection
The distance from a 3D point to the XY-plane is not the same as the distance to the eyepoint (in the origin of the eye coordinate system), but is simpler to compute and is sufficient for visible surface determination.
In the case of the perspective projection, the part of the 3D space that should be visualized (the viewing frustum), is a truncated pyramid in the eye coordinate system with its top in the origin (see figure 4).
The symmetrical perspective projection is extremely important: in this case, the reference point is projected in the center of the image.
www.cs.kuleuven.ac.be /cwis/research/graphics/INFOTEC/viewing-in-3d/node6.html   (451 words)

  
 3D Modeling From an Orthographic Projection   (Site not responding. Last check: 2007-10-20)
Orthographic projections consist of 2-dimensional lines and shapes created in 2D (XY) space.
The solid objects are aligned using the 2D orthographic projection.
The isometric view is now in 3D space but the orthographic projection is still a 2D series of lines and shapes.
fcserver.nvnet.org /~martin_s/techdrawing/linx/3Dortho.html   (759 words)

  
 Developing map projections with Java, the orthographic map projection
In the third article of a multi-part series, the orthographic projection, is presented.
The orthographic projection was used for astronomical purposes as early the 200 B.C. by the Egyptian and Greek cultures.
The equations for the orthographic projection are :
www.raben.com /articles/MapProjections/part_3_1.html   (507 words)

  
 First Angle Orthographic Projection
Orthographic Projection is a way of drawing an object from different directions.
Orthographic drawings are useful especially when a design has been developed to a stage whereby it is almost ready to manufacture.
This orthographic projection appears to have three separate drawings but they are the same L-shape.
www.technologystudent.com /designpro/ortho1.htm   (378 words)

  
 Technology Revision Orthographic Projection   (Site not responding. Last check: 2007-10-20)
A section is generally a specialist version of an orthographic drawing where you need to show details of the design which are hidden; for example internal features, or the material thickness of the product.
Projection lines and dimension lines are half the thickness of outlines.
There is a small gap between the end of the projection line and the outlines of the object.
www.manningschool.co.uk /subject/tech/worksheet/ortho.htm   (830 words)

  
 Isometric projection : Isometric   (Site not responding. Last check: 2007-10-20)
Isometric projection is a form of orthographic projection, or more specifically, an axonometric projection[?].
It is a method for the visual representation of three-dimensional objects in two dimensions in which the angles between the projection of the x, y, and z axes are all the same, or 120°.
Isometric projection is one of the projections used in drafting.
www.eurofreehost.com /is/Isometric.html   (279 words)

  
 Map Projections: Deducing the Orthographic Projection
Geometrically, the orthographic projection can be imagined as converting polar coordinates to 3-D cartesian, then flattening it (ignoring one coordinate).
On the left, Earth set for a polar azimuthal orthographic projection, resting on the projection plane; distance of projected point to center of map depends only on latitude.
Early cartographers designed general orthographic maps by first plotting the polar aspect, then locating key grid points by a set of parallel lines drawn from the polar map.
www.progonos.com /furuti/MapProj/Normal/CartHow/HowOrtho/howOrtho.html   (392 words)

  
 Projection Transformations   (Site not responding. Last check: 2007-10-20)
All that remains is to project out the depth, or z-dimension, so that the the three-dimensional view-space primitives are reduced to two-dimensional screen-space primitives.
It is the common form of projection used by draftspeople for top, bottom, and side views.
The advantage of parallel projection is that the you can make accurate measurments of image features in the two dimensions that remain.
www.cs.nps.navy.mil /people/faculty/capps/iap/class2/viewing/projection.html   (422 words)

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