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Topic: Trimetric projection

Related Topics

Dimetric projection

Graphical projection

Orthographic projection

Descriptive geometry

Oblique projection

Perspective projection

Isometric projection

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	Map projection \| Koordinaten / Informationen / Encyclopedia of terms - Map projection
		However, in understanding the concept of a map projection it is helpful to think of a globe with a light source placed at some definite point with respect to it, projecting features of the globe onto a surface.
		Unavoidably, all cylindrical projections have an east-west stretching away from the equator by a factor equal to the secant of the latitude, compared with the scale at the equator.
		Azimuthal projections have the property that directions from a central point are preserved (and hence, great circles through the central point are represented by straight lines on the map).
	www.koordinaten.de /english/encyclopedia/map_projection.shtml (2609 words)

	Graphical projection - Wikipedia, the free encyclopedia
		Graphical projection is a protocol by which an image of an imaginary three-dimensional object is projected onto a plane surface by the use of imaginary "projectors".
		Orthographic projection is derived from the principles of descriptive geometry and may produce an image of a specified, imaginary object as viewed from any direction of space.
		In dimetric pictorials (for protocols see dimetric projection), the direction of viewing is such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately.
	en.wikipedia.org /wiki/Graphical_projection (827 words)

	Trimetric Projection
		In trimetric projection the projection of the three angles between the axes are unequal.
		Thus, three separate scales are needed to generate a trimetric projection of an object.
		The scales are constructed using the same method described in isometric and dimetric projection.
	www.ul.ie /~rynnet/keanea/trimetri.htm (55 words)

	PlaneView 3D Planar Geometric Projections Tutorial
		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.
		) on the viewplane for an oblique projection.
	www.mtsu.edu /~csjudy/planeview3D/tutorial-parallel.html (1273 words)

	Reference.com/Encyclopedia/Graphical projection
		Orthographic projection is derived from the principles of descriptive geometry and may produce an image of a specified, imaginary object as viewed from any direction of space.
		In dimetric pictorials (for protocols see dimetric projection), the direction of viewing is such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately.
		In trimetric pictorials (for protocols see trimetric projection), the direction of viewing is such that all of the three axes of space appear unequally foreshortened.
	www.reference.com /browse/wiki/Graphical_projection (847 words)

	TRACEY - representation - Riley
		Trimetric projection is the general case of axonometric and occurs when all three axes are randomly orientated and are each of different scales.
		Planometric oblique projection is a special case of oblique projection, often inaccurately called 'axonometric', where the plan face of the object is parallel to the plane of projection (and usually rotated through 45º) and projectors are inclined obliquely to the plane of projection.
		This family of projection conventions as defined by BS 1192 differs from orthographic and oblique projections because the projected lines from the object to the plane of projection are not parallel, but converge to a point, generally regarded as the position of an observer's eye.
	www.lboro.ac.uk /departments/ac/tracey/rep/riley.html (2561 words)

	Axonometric projection at AllExperts
		In isometric projections the direction of viewing is such that the three axes of space appear equally foreshortened, of which the displayed angles among them and also the scale of foreshortening are universally known.
		In dimetric projections, the directions of viewing are such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately.
		In trimetric projections, the direction of viewing is such that all of the three axes of space appear unequally foreshortened.
	en.allexperts.com /e/a/ax/axonometric_projection.htm (407 words)

	Axonometric projection - Wikpedia (Site not responding. Last check: 2007-09-19)
		The three types of axonometric projections are isometric projection, dimetric projection, and trimetric projection.
		In isometric projections the direction of viewing is such that the three axes of space appear equally foreshortened, of which the displayed angles among them and also the scale of foreshortening are universally known.
		In dimetric projections, the directions of viewing are such that two of the three axes of space appear equally foreshortened, of which the attendant scale and angles of presentation are determined according to the angle of viewing; the scale of the third direction (vertical) is determined separately.
	www.bostoncoop.net /~tpryor/wiki/index.php?title=Axonometric_projection (291 words)

	Drafting template for preparing axonometric drawings - US Patent 6357130 (Site not responding. Last check: 2007-09-19)
		In perspective projection, typically used in art, the observer is considered to be at a finite distance from the projected object, and visual rays drawn from the observer's eye (the "station point") to all points of the object form a cone of rays.
		Axonometric projections, as the name implies, permit measurements to be taken parallel to the coordinate axes of the drawing and are thus in common use in mechanical drafting.
		In axonometric projection, the object is inclined with respect to the plane of projection about two of its three Cartesian coordinate axes in real space with all imaginary lines drawn from points on the real object to corresponding points on the projected object being parallel.
	www.patentstorm.us /patents/6357130.html (7796 words)

	What is a Map Projection? (Site not responding. Last check: 2007-09-19)
		A map projection is a mathematical expression that is used to represent the round, 3-dimensional surface of the earth on a flat, 2-dimensional map.
		In the example above, the Mercator projection preserves the right angles of the latitude and longitudinal lines at the expense of area, which is distorted at the poles, showing the land masses there to be larger than they actually are.
		A cylindrical projection like the Mercator projections, but where the cylinder is shifted to align with a region that is oblique and follows neither a north-south, nor an east-west axis.
	www.keyhole.com /GoogleEarthPro/v3/Importing/Projections.htm (364 words)

	Chamberlin Projections
		The Chamberlin projection is one of the standard projections used by the National Geographic Society for mapping continents.
		Shearing: Chamberlin projections do distort shapes; but the amount of distortion is relatively low in the triangular region between the map's three input points.
		Mathematically, the projection could be used to map half the Earth (i.e., a single hemisphere), but it is very rare to use the Chamberlin projection to map areas that large.
	www.warnercnr.colostate.edu /class_info/nr502/lg2/projection_descriptions/chamberlin.html (939 words)

	Rulers for making axonometric projection drawings - Patent 4166322
		An axonometric projection drawing can be made with the use of the ruler from a plan view and a front or side view drawn by orthographic projection and placed on a drawing board as arranged in the orthographic drawing.
		Indicated on the surface of the ruler is an axonometric projection drawing 1 of a cube.
		After an axonometric projection drawing has been schematically made by using the ruler in the foregoing manner, details are constructed with lines drawn in the directions of the main projection axes OX, OY, OZ of the axonometric projection drawing 1 on the ruler.
	www.freepatentsonline.com /4166322.html (4024 words)

	Chamberlin Projections
		The Chamberlin projection is one of the standard projections used by the National Geographic Society for mapping continents.
		Shearing: Chamberlin projections do distort shapes; but the amount of distortion is relatively low in the triangular region between the map's three input points.
		Mathematically, the projection could be used to map half the Earth (i.e., a single hemisphere), but it is very rare to use the Chamberlin projection to map areas that large.
	www.cnr.colostate.edu /class_info/nr502/lg2/projection_descriptions/chamberlin.html (939 words)

	[No title]
		Oblique projections and cabinet projections are drawn in the same manner with the exception that in the cabinet projection receding surfaces are drawn one-half size.
		In both multiview projection, and axonometric projection, the observer is considered to be at infinity, and the visual rays are perpendicular to the plane of projection.
		Since the principal edges and surfaces of the object are inclined to the plane of projection, the lengths of the lines, the sizes of the angles, and the general proportions of the object vary with the infinite number of possible positions in which the object may be placed with respect to the plane of projection.
	www.public.asu.edu /~detrie/pages/design_foundation/pages/drawing_technical.html (6400 words)

	Map Projections
		In general, and this is true for the projections in the three basic aspects of cylindrical, conic, and azimuthal, scale going away from the center of a map increases for a conformal projection, and decreases for an equal-area projection.
		There is the transverse (or, in the case of an azimuthal projection, equatorial) case, in which the globe has been shifted by 90 degrees before the map is drawn, and there is the oblique case where the globe is shifted by a lesser amount.
		Thus, the transverse case of the Mercator projection is also known as the Gauss Conformal Projection; the transverse case of the Plate Carré projection is known as Cassini's projection.
	www.hypermaths.org /quadibloc/maps/mapint.htm (953 words)

	Trimetric projection - Wikipedia, the free encyclopedia
		Trimetric projection is a form of axonometric projection, where the direction of viewing is such that all of the three axes of space appear unequally foreshortened.
		Some computer and video games use trimetric projections in their graphics.
		Explanation of trimetric projection from the University of Limerick
	en.wikipedia.org /wiki/Trimetric_projection (112 words)

	ORTHOGRAPHIC PROJECTIONS (Site not responding. Last check: 2007-09-19)
		Orthographic projections are generated when the line of sight (projection direction) is in the same direction as the normal of the projection plane.
		Of the orthographic projections, the trimetric projection can often generate the most realistic 3D simulation since the projection plane can be placed freely with respect to the object.
		Multiview Orthographic projections are the easiest because they involve only a single matrix operation which sets the either x, y or z equal to 0 depending on the side being viewed.
	www.cs.fit.edu /wds/classes/cse5255/cse5255/bordelon/ortho.html (324 words)

	Projections. Introduction (Site not responding. Last check: 2007-09-19)
		The projection surface is the plane between the COP and the object wich the projection lines goes through.
		Parallell- and perspective projection are treated as two different cases although parallell projection is just a special case of perspective projection.
		In ortographic projection the projection lines have a 90 degree angle to the projection plane, (pict 2).
	www.hh.se /staff/jovall/dg03/elevwebb/Projektioner/Liffe.html (530 words)

	Projection (Site not responding. Last check: 2007-09-19)
		Projection is carried out by passing projectors through each vertex and intersecting the projectors with the two-dimensional Viewplane.
		Planar projections have the advantage that a straight line projects to a straight line, hence only the end points have to be projected.
		Perspective projections can be categorised by the number of vanishing points produced in an image by lines parallel to the three co-ordinate axes.
	www.ece.eps.hw.ac.uk /~dml/cgonline/hyper00/polypipe/projection/header.html (405 words)

	Map projection Summary
		Azimuthal projections are variously used for aeronautical navigation (azimuthal equidistant), maps of the ocean basins (Lambert azimuthal equal area), maps of the hemispheres (orthographic), and polar navigation (stereographic).
		Pseudocylindrical projections represent the central meridian and each parallel as a straight line segment, but not the other meridians, except for the Collignon projection, which in its most common forms represents all meridians as straight lines from the poles to the equators as straight line segments.
		The HEALPix projection combines an equal-area cylindrical projection in equatorial regions with the Collignon projection in polar areas.
	www.bookrags.com /Map_projection (3524 words)

	[No title]
		The projection of P. Chebyshev for mapping of polar regions.] 343h.___1987, K voprosu o poluchenii izometricheskikh koordinat i ravnougol'noy tsilindricheskoy proyektsii trekhosnogo ellipsoida: Izvestiya Vysshikh Uchebnykh Zavedeniy.
		Burney, James, 1803, Remarks on the projection of charts and particularly on the degree of curvature proper to be given to the parallels of latitude, in his A chronological history of the discoveries in the South Sea or Pacific Ocean: London, v.
		Emerson, William, 1749, The projection of the sphere, orthographic, stereographic and gnomical; both demonstrating the principles, and explaining the practice of these various sorts of projections: London.
	www.cs.albany.edu /~amit/bib/mapproj.txt (15646 words)

	Projection Principles (Site not responding. Last check: 2007-09-19)
		Projection, as we refer to it here, is when you reduce the three dimensions of a real or virtual (computer) object to two dimensions.
		With a multiview projection, the projection lines are oriented parallel to one of the principle axes of the object.
		Axonometric projections are classified according to the orientation of the principle axes relative to the projected surface.
	www2.ncsu.edu:8010 /unity/lockers/project/scivishome/lessons/projprinc/projprinc.html (2215 words)

	Fundamentals of Graphics Communication \| Chapter 7 Key Terms
		An isometric drawing differs from an isometric projection in that all three dimensions are drawn at full scale rather than foreshortening to the true projection.
		Oblique projection results when the projectors are parallel to each other but at some angle other than perpendicular to the projection plane.
		A trimetric drawing is the hardest to draw, but it is the most pleasing to the eye since it represents the most realistic positioning of the object.
	highered.mcgraw-hill.com /sites/0072322098/student_view0/chapter_7/key_terms.html (929 words)

	CS 4611: Projections
		A parallel projection is one in which coordinates of the points of an object are transfered to the viewplane along parallel projectors (e.g., lines.) The edges of an object that is projected in parallel have the projected edges preserved and geometrically similar.
		A perspective projection is one in which coordinates of the points of an object are transfered to the viewplane to projection coordinates along projectors (e.g., lines) that vanish to a center of projection (COP)(sometimes called a vanishing point).
		The trimetric projection is a generalization of the dimetric projection.
	www.csl.mtu.edu /cs4611/www/nine04.html (1242 words)

	EGR 1170 C1 - Quick Study - Axonometric Projection (Site not responding. Last check: 2007-09-19)
		The three types of axonometric projection are isometric, dimetric, and trimetric.
		In dimetric drawings, only two of the front three angles would be equal, and in trimetric drawings, none of these angles are equal.
		In neither dimetric nor trimetric drawings are the object's dimensions kept in proportion.
	www.prism.gatech.edu /~ce1770a1/EGR_PROT/axonometric.htm (80 words)

	MI Re: Chamberlin Trimetric Projection
		Denise, The Chamberlin Trimetric Projection is an old thematic type of projection cooked up by the Chief Cartographer of the National Geographic Society back in the late 19th century.
		One problematic feature of this projection is that after it is drafted, color-separated and printed, the copyrighted map that is not supposed to be copied or put into digital form of any kind is downright difficult to digitize.
		Snyder, an ellipsoidal projection that is roughly equivalent to the Chamberlin Trimetric.
	www.mail-archive.com /mapinfo-l@csn.net/msg00841.html (451 words)

	MARBI Proposal 96-08 Part 2 of 5 (Site not responding. Last check: 2007-09-19)
		Obviously, when the producer gives the name of the projection used, and that projection is included in the list of approved codes, it is easy for the cataloger to provide the code from the list of projections.
		Likewise, if the producer provides only the class of projection used, (azimuthal, conical, or cylindrical) but not the specific projection, it is easy to code the class (codes au, bu, cu).
		Of the approximately 180 different projections which have been coded as zz, only two additional new codes are apparent, one for Chamberlin trimetric projection (an) and one for Lambert conformal projection (dl).
	www.loc.gov /marc/marbi/1996/96-8rrp2.html (2610 words)

	Assignment 2c (Site not responding. Last check: 2007-09-19)
		Allow the user to switch between the default orthographic projection of the model and a perspective projection of the model using keystrokes.
		Be careful when redefining the frustum to avoid allowing the projected image of the model to be clipped or distorted as a result of any modification to the size or shape of window.
		To successfully accomplish this, you are reminded that the amount of perspective distortion depends on the relationship between the location of the center of projection (the viewpoint) and the locations of the corners of the near clipping plane.
	www-users.itlabs.umn.edu /classes/Spring-2004/csci4107/assignments/assign2c.html (435 words)

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