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Topic: 3D projection

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	3D projection - Wikipedia, the free encyclopedia
		A 3D projection is a mathematical transformation used to project three dimensional points onto a two dimensional plane.
		3D projection is often the first step in the process of representing three dimensional shapes two dimensionally in computer graphics, a process known as rendering.
		In fact, the projection of a triangle where a point is behind the camera is not technically a triangle, since the area is infinite and two of the angles sum to more than 180°, the third angle being effectively negative.
	en.wikipedia.org /wiki/3D_projection (1583 words)

	3D computer graphics - Wikipedia, the free encyclopedia
		3D computer graphics are different from 2D computer graphics in that a three-dimensional representation of geometric data is stored in the computer for the purposes of performing calculations and rendering 2D images.
		In general, the art of 3D modeling, which prepares geometric data for 3D computer graphics is akin to sculpting or photography, while the art of 2D graphics is analogous to painting.
		Orthogonal projection is used mainly in CAD or CAM applications where scientific modelling requires precise measurements and preservation of the third dimension.
	en.wikipedia.org /wiki/3D_computer_graphics (1969 words)

	3D projection (Site not responding. Last check: 2007-10-13)
		A 3D projection is a mathematical process to project a series of 3D shapes to a 2D surface, usually a computer monitor.
		3D projection A 3D projection is a mathematical transformation used to project three dimensional points onto a two dimensional plane.
		3D Hall of Fame Compilation of stereo 3D images from a number of sites.Anaglyph and Stereo Pairs are shown.
	www.serebella.com /encyclopedia/article-3D_projection.html (2729 words)

	Projection
		Normally any toolpath motion is simply projected onto the current Z-Surface level from where it is machined at the specified Z depth.
		But when setting projection type to 3D and at the same time specifying a Z Step, the software will constantly increase the machining depth from initial point to specified incremental step depth.
		When machining 3D curves in combination with the projection type set to 3D, the toolpath is offset depending on the current status of the Offset Dir setting located on the Cycle Data dialog.
	www.ezcam.com /web/products/help/ezmill/mill_machdlg_3d_cycledata/projection_db3d.htm (499 words)

	Introduction to PET Physics: Image reconstruction
		For 3D reconstruction, the Reprojection and Filtered Back-projection (3D-RP) method of Kinahan and Rogers (1990) has been the most popular, in part because of the significant computational burden of newer 3D iterative reconstruction methods.
		Unfortunately in real cameras projections cannot easily be obtained over the full range of j, and a different filter must be found for the de-convolution step (Colsher,1980).
		Another problem is the fact that the limited axial extent of the camera causes some of the 2D projections to be truncated, and the degree of truncation depends on position (figure 16).
	depts.washington.edu /nucmed/IRL/pet_intro/intro_src/section4.html (1070 words)

	Four-Space Visualization of 4D Objects - Chapter 4
		Projection from four-space to a two-space region involves an additional projection compared to the usual display of three-dimensional wireframe data.
		This projection uses the four dimensional viewing parameters discussed in section 3.2, and can be either a perspective projection or a parallel projection.
		In the 4D to 3D perspective projection, this ``depth'' is similarly achieved by dividing by the W eye coordinate (which corresponds to the four-dimensional line-of-sight).
	steve.hollasch.net /thesis/chapter4.html (3746 words)

	Learn more about 3D projection in the online encyclopedia. (Site not responding. Last check: 2007-10-13)
		All this data is usually stored in floating point, even if many programs convert it to integers at various points in the algorithm, to speed up the calculations.
		The 3D transformation makes heavy use of square matrices, with 4x4 dimensions, and trigonometric functions.
		Each step of the algorithm is a matrix multiplication, where the elements of the matrices are derived from the coordinates and angles listed above, and various combinations of sines and cosines.
	www.onlineencyclopedia.org /3/3d/3d_projection.html (836 words)

	About 3D projections
		For scenes, this uses the 3D projection selected on the General page of the Scene Properties dialog box.
		This page covers 3D projections (see About mapping and map projections for a discussion of map projections).
		The Orthographic projection is typically used by drafters and engineers to create working drawings of an object which preserves scale and shape.
	www.sonardata.com /WebHelp/Using_Echoview/3D_Scene/About_3D_projections.htm (506 words)

	Computer graphics - Wikipedia, the free encyclopedia
		This field can be divided into several areas: real-time 3D rendering (often used in video games), computer animation, video capture and video creation rendering, special effects editing (often used for movies and television), image editing, and modeling (often used for engineering and medical purposes).
		As a result, most 3D graphics engines are based around storing points (single 3-dimensional coordinates), lines that connect those points together, faces defined by the lines, and then a sequence of faces to create 3D polygons.
		The process of shading (in the context of 3D computer graphics) involves the computer simulating (or, more accurately, calculating) how the faces of a polygon will look when illuminated by a virtual light source.
	en.wikipedia.org /wiki/Computer_graphics (1190 words)

	3D projection: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-10-13)
		3D projection is often the first step in the process of representing three dimensional shapes two dimensionally in computer graphics computer graphics quick summary:
		The projected point on the screen is then at the 2D coordinates.
		The projective linear group of a vector space v over a field f is the quotient group...
	www.absoluteastronomy.com /encyclopedia/3/3d/3d_projection1.htm (2836 words)

	Entering the 3d dimension (Site not responding. Last check: 2007-10-13)
		The purpose of this article is to try to explain the reasons behind 3d projection and a little on 2d rotation.
		The 3d cartesian coordinate system is almost like the 2d cartesian coordinate system that we grew up with, only with an extra dimension: The Z axis.
		Considering we also have to project the size of the sprite or tile, we can't use the normal QB PUT routine, so we have to make a stretch sprite routine for this purpose alone.
	qbnz.com /pages/tutorials/relsoft/Chapter1 (1647 words)

	Laser Show Resource Guide - Making 3D, floating images - Pangolin Laser Systems
		A projected holographic image is exactly the same as projecting a slide or a movie.
		The projected image is shown in two dimensions on a screen or flat surface.
		Projecting an image of a person produces a fuzzy cone with different bright lines, corresponding to the bright areas of the image.
	www.pangolin.com /resguide03b.htm (1447 words)

	Projection of Stereo Pairs (Site not responding. Last check: 2007-10-13)
		Projection is a great way to view a large number of 3D images.
		Projection of the stereo slides that come from monolithic stereo cameras is also possible.
		However, because the polarizers already cut the projection beam by a factor of 4 in intensity, going from f 2.5 to 3.5 (where another factor of almost 2 is lost) may cross the threshold of brightness acceptability.
	www.stereo3dgallery.net /Pages/3DGuidebook/ViewingMethods_Projection.shtm (3129 words)

	3D Projection Facility
		Our facility uses four 3D CrystalEyes emitters from StereoGraphics to broadcast the stereo signal throughout the room; three of emitters are mounted on the ceiling near the screen, and one is mounted on the CRT monitors.
		Oct 2004 - LP530G projector is installed in the 3D facility, to reduce load on the primary projector.
		Spring 2000 - the projection screen is upgraded to a Stewart Videomatte 2000 Electriscreen, with hard-mounted CrystalEyes 3D Emitters on the ceiling.
	www.ks.uiuc.edu /Development/Computers/Projection (880 words)

	Wired News: 3D Projection Without the Glasses
		LAS VEGAS -- Perhaps the most exciting technology at Comdex this year was a 3D display that projected volumetric images into thin air, prompting show goers to gasp, burst out laughing and run around the booth in excitement.
		The object whose image is being projected sits inside a pedestal, which projects the object's light into space above the pedestal, where the image is reformed.
		As an example of its use, Pfeffer said the monitor could project X-Ray or NMR data in 3D, creating a precise image of the inside of a patient's skull and the location of, say, a tumor.
	www.wired.com /news/technology/0,1282,40264,00.html (736 words)

	Three Dimensional Images in the Air
		Using a laser plasma, we have been the first to succeed in displaying "real 3D images" in a space where there is nothing but air.
		To further form 3D-images in the air, the scanning of the focal point in the depth direction along the laser optical axis is essential.
		However, for such a purpose, the quality of the laser and the technique for varying the position of the focal point must be improved, and thus as yet there are no 3D display devices.
	www.aist.go.jp /aist_e/latest_research/2006/20060210/20060210.html (686 words)

	Math Forum - Ask Dr. Math
		Date: 7/9/96 at 15:22:57 From: Anonymous Subject: 3D Projection Onto a 2D Plane I'm dealing with a theoretical geological problem where I consider a roughly planar orebody as being 2D.
		What I want to do is project these points onto the plane, estimate values in 2D and then project the estimates back onto the original orebody.
		Each point should be projected onto the plane along a line passing through the point and perpendicular to the fitted plane.
	mathforum.org /library/drmath/view/51727.html (781 words)

	Digital 3D Projection (Site not responding. Last check: 2007-10-13)
		Theta is the lateral (in and out of the paper) beam-spread half-angle, determined by the focal length of the projection lens (which may be variable if the lens is a zoom).
		Projection setups with this latter error are commonly used by stereo professionals such as the National Stereographic Association (at their conventions, where people watch slides for hours without complaining too much).
		To successfully project images without burning out highlights and muddling the shadows, you have to adjust gamma, contrast, colors, and brightness of the digital projectors to get to good film-like rendering with good dynamic range.
	www.crystalcanyons.net /Pages/TechNotes/ProjectorShootOut.shtm (4754 words)

	more3D Homepage
		Highly flexible and representative 3D projection system that is capable of displaying multiple 3D media types and can also be used for standard presentations.
		Projects 3D applications, 3D movies and 3D images in true 3D stereo and is set up within minutes.
		Projects 3D applications, 3D images and 3D movies in true 3D stereo and can be set up within seconds.
	www.more3d.com /english/morpheus_e.htm (500 words)

	3D projection (Site not responding. Last check: 2007-10-13)
		The resulting coordinates would be already good for an isometric projection or something similar, but realistic rendering requires an additional step tocorrectly simulate the perspective distortion.
		This projection should look correct, if you are looking with one eye; your actual physicaleye is located on the line through the centre of the screen normal to thescreen, and μ and ν are physically measured assuming your eye is the camera.
		In fact, the projection of atriangle where a point is behind the camera is not technically a triangle, since the area is infinite and two of the angles sumto more than 180°, the third angle being effectively negative.
	www.therfcc.org /3d-projection-71043.html (1526 words)

	http://www.d3.com - DIMENSION 3 / The 3D Company - 3D TV (Site not responding. Last check: 2007-10-13)
		But, without 3D glasses, the image looks somewhat "out of register." In practice, this has not been a problem in the many 3D broadcasts world wide.
		In spite of this improvement, and those of other researchers, SQ 3D remains an "industrial" curiosity, as SQ broadcast is not particularly practical except perhaps via satellite.
		Projected using polarization in a small "theater" during a Toronto convention in 1998, it was very well received.
	www.3dcompany.com /3dtvintro.html (1316 words)

	Xah: Projective Illusion
		Of course, almost all 3D scenes will in reality be absurd objects and shapes, but still they are real 3D objects.
		Now, when the 3D object has rotated a 360°, in your program you switch to another 3D interpretation, so that, the effect being the object as if thru a 2D-space-hole suddenly and smoothly transformed into another, rather different, 3D object.
		When happened here is that a rectangular 3D object with 8 legs can be positioned in more than one way, such that their legs will have the same position in 2D projections.
	xahlee.org /Periodic_dosage_dir/t1/cimde_viska.html (862 words)

	RMM 3D Encyclopedia - 3D Projection (Site not responding. Last check: 2007-10-13)
		Use an aluminum (silver) or lenticular (with vertical lens ridges) projection screen.
		Normal beaded or white projection screens will de-polarize the light projected, destroying the stereo effect.
		The silver or lenticular screens will preserve the polarization of the projected light, essential for maintaining a left and right image.
	www.rmm3d.com /3d.encyclopedia/projection/project.html (96 words)

	3d Projection
		A lot of programmer's choose to include volume clipping in their projection functions because it would be a waste of time to do projection on points or objects that are out of the viewing area.
		Most games use perspective projection to give the user a real view of the world around them, while parallel projection is typically used for graphics that don't need that sence of realism.
		For these reasons, parallel projection is very easy to do and is good for modeling where perspective would distort construction, but it is not used as much as perspective projection.
	www.inversereality.org /tutorials/graphics%20programming/3dprojection.html (740 words)

	Walter F. Block, Ph.D., High Speed Comprehensive MR Imaging Using Undersampled 3D Projection and Real-time ... (Site not responding. Last check: 2007-10-13)
		Therefore, most clinical 3D MR scans are carefully localized, acquire non-isotropic resolution, and are therefore designed to be viewed primarily from a single perspective.
		To adapt these strategies to acquire 3D volumes with image contrast similar to T2-weighting, a mainstay of clinical MR imaging.
		This project has the potential to substantially alter the way MR exams are prescribed, executed, and evaluated.
	www.whitaker.org /abstracts/sep00/block.html (443 words)

	Nonpolynomial Labs Content: EyeSore: Real Time 3D Projection with Second Life
		Through the use of polarized glasses and the vision capabilities of the human brain, the images produced by the two viewpoints of the avatars are combined to create a 3D picture.
		The system for this project was originally built for the Copernicus Rover Mission at Amboy Crater in May of 2004.
		In 3D graphics, "projections" are used to turn this perception into a single 2D image.
	www.nonpolynomial.com /content/2005/09/eyesore_real_ti.php (804 words)

	holographic 3D projection
		The concept of a life-like 3D apparition moving around on stage is tantalizing to say the least.
		There is no current technology to project a real life-sized, moving, talking hologram in a public place that permits a person to walk all the way around and view it from all sides.
		The virtual 3D world where you can project anything you want into thin air like The HoloDeck of Star Trek fame is still a long way off.
	www.laser-magic.com /holographicprojection.html (368 words)

	Berezin Stereo Home Page
		This 3D viewer is the larger cousin of our 3D Explorer viewer.
		This includes the Vivitar 3D CAM, 3D Lens-In-A-Cap, dual cable releases, slide bars for single camera stereo photography, twin bars for twin camera photography and some stereo cameras.
		These are the special 3D screens that are needed to maintain polarization for 3D polarized projection.
	www.berezin.com /3d (684 words)

	STEREO Projection
		STUDIO 3D is attempting to set some standards for digital still projection (as an upgrade from the "old-fashioned" slide projection...
		The DEPTHQ® stereo video projector can project on to ANY surface (not restricted to silver or special rear screen) and can be run from almost any PC or laptop (with nVidia card).
		If an image does not fit the xga aspect ratio, the image pair should be set up with the same height (768 pixels) with fl added to the sides to fill out the image to 1024 pixels per side.
	www.studio3d.com /pages/stereoproj.html (826 words)

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