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Topic: Ray (geometry)

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	Aioe.org Dictionary
		Extraordinary ray (Opt.), that one of two parts of a ray divided by double refraction which does not follow the ordinary law of refraction.
		Ordinary ray (Opt.) that one of the two parts of a ray divided by double refraction which follows the usual or ordinary law of refraction.
		Ray flower, or Ray floret (Bot.), one of the marginal flowers of the capitulum in such composite plants as the aster, goldenrod, daisy, and sunflower.
	dict.aioe.org /cgi-bin/adict.pl?Query=ray&Method=All&Languages=All (912 words)

	Geometry - MSN Encarta
		Geometry may be thought of as the science of space.
		Basic geometry allows us to determine properties such as the areas and perimeters of two-dimensional shapes and the surface areas and volumes of three-dimensional shapes.
		A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point.
	encarta.msn.com /encyclopedia_761569706/Geometry.html (498 words)

	PlanetMath: ray
		A ray is also called a half line, or an open ray, to distinguish the notion of a closed ray, which includes its endpoint.
		We say that a ray lies on a line if all of the points in the ray are incident with the line.
		It is not hard to see that in the last case, one ray is included in the other, and their intersection is the “smaller” of the two rays.
	planetmath.org /encyclopedia/Ray.html (394 words)

	Ray (geometry) - MSN Encarta
		Ray (geometry), portion of a line limited at one end by a point but extending to infinity in the other direction.
		A laser beam is similar to a ray: It has a definite beginning point (the laser) but no endpoint (the light continues forever unless something gets in the way).
		Rays are often designated according to their endpoints and a point through which they pass; a ray with endpoint A that passes through point B may be denoted
	encarta.msn.com /encyclopedia_701509035/ray.html (94 words)

	ray - Search Results - MSN Encarta
		Ray, in zoology, common name for any of about 425 species of cartilaginous fishes found in almost all seas.
		Ray the Movie : Jamie Fox is Ray Charles : Trailers, Wallpaper...
		Ray is the never-before-told, musical biographical drama of American legend Ray Charles.
	ca.encarta.msn.com /ray.html (252 words)

	Human Thermoregulatory System Simulation and Analysis Software
		The IM can affect how the solution proceeds: The ray may be deflected (which results in a nonlinear path for the projectile through the vehicle) or new threats may be generated (e.g., spall).
		This type of geometry translation must use an overwhelmingly large numbers of facets to describe Pro-E solids accurately; yet, the resulting boundary representation is still an approximation.
		In addition to finding efficient algorithms for intersecting rays with surfaces and solids, much of the science of ray-tracing has focused on reducing the number of ray-geometry intersections that must be examined.
	www.thermoanalytics.com /products/rtcad/index.html (1416 words)

	Geometry and ray-tracing (.trc file)
		The reciprocity of travel times in ray theory allows rays to be traced in either direction between actual seismic sources and the recording instruments in a survey.
		For example, a phase that reflects from the 4th interface might be described as [1 2 3 4 4 3 2 1], and one that is refracted in the 2nd layer would be [1 2 1].
		Note that normal-incidence rays are traced from the reflecting interface to the model surface, i.e.
	bullard.esc.cam.ac.uk /~hobro/Jive3D/manualhtml0.4/node16.html (1492 words)

	System
		Static - all geometry is precompiled into an acceleration structure at the beginning of the rendering and remains there until the end of the frame.
		Dynamic - geometry is loaded and unloaded on the fly depending on which part of the scene is being rendered.
		Geometry that is not generated is not included in this count.
	www.spot3d.com /vray/help/150R1/render_params_system.htm (1953 words)

	Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry
		Ray behaviors such as perspective, reflection, refraction, etc, are entirely determined by the applications program logic, and not by the ray-tracing library.
		For example, the geometry information associated with a planar face is the plane equation which includes the outward-pointing surface normal; the plane equation does not have to be re-derived from the vertices.
		If the ray hits an edge of a loop in a face, and there is another loop of the face of the same type (interior/exterior) adjacent on the edge, the hit is registered as if the ray had intersected the interior of the loop.
	ftp.arl.mil /~mike/papers/90nmg/joined.html (20066 words)

	Untitled
		When a light ray traverses an optical system consisting of several homogeneous media in sequence, the optical path is a sequence of straight-line segments.
		Law of Reflection: When a ray of light is reflected at an interface dividing two uniform media, the reflected ray remains within the plane of incidence, and the angle of reflection equals the angle of incidence.
		Law of Refraction (Snell's Law): When a ray of light is refracted at an interface dividing two uniform media, the transmitted ray remains within the plane of incidence and the sine of the angle of refraction is directly proportional to the sine of the angle of incidence.
	physics.tamuk.edu /~suson/html/4323/geometry.html (1800 words)

	background
		Parallel rays are initiated from a "grid plane" oriented at the desired attack direction.
		As the ray encounters a region, at the intersections with each of the defining primitives of that region, the 3-dimensional coordinate locations and surface normals are calculated.
		Ray- tracing continues, to this day, to be a flexible geometry interrogation tool and has been used to simulate many
	www.brlcad.org /reports/arl-mr-103/back.html (1012 words)

	Intermediate Math - Ray's Arithmetic
		Ray's Higher Algebra - This is the second algebra book in the Ray's series.
		Ray's Plane and Solid Geometry - This is the introductory Geometry text for Ray's Arithmetic.
		Ray's Geometry and Trigonometry - This book was designed to follow Plane and Solid Geometry.
	www.raysarithmetic.com /view/raysarithmetic/s144p1490.htm (363 words)

	Autodesk - mental ray - Overview
		Based on the principles of physically accurate lighting, the advanced rendering power of mental ray® technology enables you to create a wide range of looks—from photorealistic imagery to stylized visualizations.
		You must specify the version of mental ray required and the application with which it will be used (for example, 3ds Max or Maya) to help ensure compatibility.
		The mental ray advanced shading API (application programming interface), programming languages (C and C++), and runtime linking of user-created shaders enable the creation of geometry, procedural textures, materials, new lighting models, and volume and lens effects.
	usa.autodesk.com /adsk/servlet/index?siteID=123112&id=6837592 (399 words)

	SAT II Math: Looking at Lines and Angles - Dummies
		Plane geometry is the study of lines and shapes in two dimensions.
		Geometry starts with the basics, in this case plane geometry, and builds on that foundation to construct ever-increasing complex models to more accurately portray the real world.
		While the sun's rays may eventually run out of energy on their path, a ray in geometry keeps going and going.
	www.dummies.com /WileyCDA/DummiesArticle/id-3024.html (1024 words)

	Vulnerability / Survivability Ray-Tracing Tool
		Modern vulnerability and survivability codes simulate the path of threat projectiles through a target using a technique known as "ray tracing." Rays, also known as shotlines, are described mathematically by an origin, a direction, and a length.
		In addition to finding efficient algorithms for intersecting rays with surfaces and solids, much of the science of ray tracing has focused on reducing the number of ray-geometry intersections that must be examined.
		First, the ray-tracer was modified to handle multiple intersections between a ray and a surface (for example, a ray can intersect a cylinder at two points).
	www.thermoanalytics.com /products/muses/survivability.html (2155 words)

	P4 PARALLELIZATION OF GENERAL GEOMETRY RAY TRACING IN COMPUTATIONAL PHYSICS
		Combinatorial geometry (CG) is used to describe complex and irregular configurations in one, two, or three dimensions.
		A modified CG processor is used to perform ray tracing needed for numerical calculation of the collision/transfer probability (CTP) matrices.
		Ray tracing in GTRAN2 is perfectly suited for parallel processing, i.e., each track is totally independent of all other tracks.
	www.nuc.berkeley.edu /neutronics/papers/hpc94/hpc94.html (2789 words)

	POV-Ray: A Tool for Creating Engaging Visualisation of Geometry
		The method by which it renders the geometry is based upon a technique called ray tracing, as such it is capable of very high quality imagery with a high degree of realism.
		Rendering software such a POV-Ray creates an image using a technique known as a ray tracing which broadly means it takes a description of geometry (which includes surface materials and light sources), a model of a virtual camera, and a projection plane made up of the pixels in the final image.
		Solid constructive geometry (often simple called CSG) is a very powerful method for constructing forms that are the union, intersection, or difference of simpler solids.
	local.wasp.uwa.edu.au /~pbourke/geometry/representation (1458 words)

	P4 PARALLELIZATION OF GENERAL GEOMETRY RAY TRACING IN COMPUTATIONAL PHYSICS
		In this paper we describe parallelization of general geometry ray tracing for distributed memory environment.
		Combinatorial geometry (CG) is used to describe complex and irregular configurations in one, two, or three dimensions.
		Ray tracing in GTRAN2 is perfectly suited for parallel processing, i.e., each track is totally independent of all other tracks.
	cnwm.berkeley.edu /neutronics/papers/hpc94/hpc94.html (2789 words)

	Project for CAP5725
		Each ray must be checked for intersection against all geometry in the scene.
		In this technique, every outgoing ray (from the camera) is somewhat distorted in direction by a random value.
		A given 2D image is mapped on the 3D geometry by determining the offset onto the image from the point of intersection.
	www.cs.ucf.edu /~geduardo/cap6938.html (1062 words)

	Geometry.Net - Celebrities: Reinhardt Ray
		Ray Reinhardt (I) IMDb Filmography.Category Arts Celebrities R reinhardt, ray......
		http://www.imdb.com/Name?Reinhardt, Ray (I) Ray Reinhardt (I) IMDb Filmography.
		ray reinhardt (I) http//us.imdb.com/Name?reinhardt +ray+(I) IMDb - Filmography.
	www.geometry.net /detail/celebrities/reinhardt_ray.html (1330 words)

	Project for CAP5725
		Each ray must be checked for intersection against all geometry in the scene.
		Specular highlights (shiny surfaces) are computed using the reflected ray as it comes from the light sources.
		In this technique, every outgoing ray (from the camera) is somewhat distorted in direction by a random value.
	longwood.cs.ucf.edu /~geduardo/cap6938.html (1062 words)

	San Graal School of Sacred Geometry and Ray Flowers
		The San Graal School of Sacred Geometry was founded by Ray Flowers in the spring of 1997 for the purpose of sharing the many untold stories about Sacred Geometry.
		Sacred Geometry has been and is a part of many societies who hold the information as sharable only within their community.
		Embarking on a career in Music Education, the Sacred Geometries took a back seat to Music and for many years, his only interest in the Sacred Geometries would be during the time spent alone with his father.
	www.sangraal.com /sangraalray.htm (715 words)

	Facility Vulnerability with VISAC
		Ray tracing can be slow for complex geometries but produces excellent images at full resolution.
		When using the 3D Ray Tracer to make presentation-quality images, users are encouraged to use QuickView 3D to quickly find a good camera angle, and then launch the 3D Ray Tracer package from that program.
		When using the 3D Ray Tracer to make presentation-quality images, users are encouraged to use QuickView 3D to quickly find a camera angle, and then launch the 3D Ray Tracer package from that program.
	visac.ornl.gov /HelpFiles/visGeom3.html (878 words)

	Basic Terms
		We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions.
		The point where the ray begins is known as its endpoint.
		The following is a diagram of two rays: ray HG and ray AB.
	www.mathleague.com /help/geometry/basicterms.htm (572 words)

	"TRIX R 4 KIDS" Vol. 2 (Site not responding. Last check: )
		Optimizing memory usage in mental ray is essential for improving speed and stability of your rendering processes.
		The export of the actual geometry is done only when requested from mental ray during rendering, thus reducing memory requirements and eventually translation time (if the object is never accessed during rendering).
		They are good only if rays in the raytracing in the scene has a high coherence degree, which is in general not the case for GI photons and finalgather + child shadow rays.
	www.jupiter-jazz.com /wordpress/wp-content/data/tr4kv2/html/chapter4-MEM.html (2896 words)

	Video animation helps explain gamma-ray pulsar geometry
		It visually portrays the complex geometry of the intense magnetic fields and radiation beams that surround the neutron star.
		Using their animation, the scientists can look at the neutron star from any orientation and estimate the profile of the radio waves, X-rays and gamma rays that should be visible.
		But only minor adjustments to their basic model, which postulates the simplest possible shape for the magnetic fields, proved necessary in order to match the output of all seven gamma- ray pulsars quite closely, they said.
	www.stanford.edu /group/news/pr/95/950705Arc5138.html (988 words)

	Wide-field X-ray Optics (Site not responding. Last check: )
		The recent hunting for faint fading X-ray afterglows of GRBs has indicated that there is a large number of faint and/or variable X-ray sources worth of detailed study.
		We report on the further development of wide field of view lobster type X-ray telescope prototypes of both Schmidt and Angel geometry, with emphasis on the achievements obtained during the year 1999.
		There is also potential for possible extending the wide field imaging system to higher energy by the use of multilayer or other coatings in analogy to those described for flat reflectors in the Kirkpatrick-Baez geometry.
	altamira.asu.cas.cz /xray_wide.php (2356 words)

	PS common-azimuth downward-continuation
		Biondi and Palacharla (1996) demonstration for the equivalence of the stationary phase derivation for the common-azimuth operator and the constraint on the propagation directions of the source rays and receiver rays for the single-mode case.
		For each pair of source ray and receiver ray, the two rays must lie on the same slanted plane.
		For each pair of source and receiver rays, the two rays lie on the same slanted plane.
	sepwww.stanford.edu /public/docs/sep127/paper_html/node41.html (633 words)

	MDCT: A Disruptive Technology Evolves \| October 2004 \| Imaging Economics
		The first-generation scanners used a translate-rotate paradigm with a pencil beam or parallel ray geometry.
		In this fixed-fixed geometry, there are no moving parts of the gantry, allowing images to be obtained in as little as 50 milliseconds with minimal motion artifacts.
		In helical CT acquisitions, the patient is moved along the horizontal axis as the x-ray tube rotates around the patient, such that the central ray of the x-ray beam follows a helical path during the scan.
	www.imagingeconomics.com /issues/articles/2004-10_08.asp (2827 words)

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