Face (geometry) - Factbites

Face (geometry) - Factbites
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Topic: Face (geometry)

Note: these results are not from the primary (high quality) database.

	Geometry
		A geometry iterator allows to iterate over a given geometry primitive by primitive, face by face (a face being a triangle or quad), or triangle by triangle.
		Note that Geometries don't necessarily have to be leaves of the tree, as due the Node/Core divison every Node keeping a osg::Geometry Corehas children anyway, which are used just as all other osg::Node 's children.
		The osg::Geometry setup is very nice and flexible to define: you can mix different kinds of primitives in an object, you can have properties and different kinds and the indexing allows the reuse of some or all of the data.
	www.opensg.org /doc-1.2.0/PageSystemGeometry.html

	GNUbik
		This interface can be used with any cube geometry that GNUbik supports, but is not intuitive for humans and the API may change in the future.
		The geometry list consists of a version number, which will change if the definition of the cube object ever changes (scripts should check this to ensure compatibility or else things will surely break); the current version is 1 (one).
		For any one move (a quarter turn of a slice of the cube), the first item in the specification is the face which lies parallel to the desired slice, and may be 0 (zero), 1 (one) or two corresponding to the back, right and bottom faces.
	www.gnu.org /software/gnubik/manual/html_node/Raw-interface.html

	SGI TPL (Windows: Developer/Cos3C_PG - Chapter 14. Optimizing Rendering)
		In back face culling, all of the triangles in a geometry are processed and then those on one side of a geometry are discarded.
		Back face culling prevents all triangles on the back side of a geometry from being rendered.
		Whereas back face culling is based on triangles, back patch culling is based on primitives, such as a tristrip or trifan.
	techpubs.sgi.com /library/tpl/cgi-bin/getdoc.cgi/nt/bks/SGI_Developer/books/Cos3C_PG/sgi_html/ch14.html

	Making Faces
		Separating the capture of the geometry from the texture images eliminates much of the variance in the image data due to motion, which increases compression ratios.
		These images are used to create a texture map sequence for a three dimensional polygonal face model which can then be rendered on standard 3D graphics hardware.
		The system uses a large set of sampling points on the face to accurately track the three dimensional deformations of the face.
	research.microsoft.com /research/pubs/view.aspx?pubid=290

	research.html
		In particular, the amount of geometry flowing from the back-face culling stage should be roughly 50% of the input geometry.
		Occlusion culling conservatively eliminates invisible portions of the model occluded by geometry.
		Remote Distributed Visibility Servers (DVS) compute occlusion, LOD and back-face culling stages on behalf of the graphics computer in real-time.
	people.csail.mit.edu /ericb/research.html

	Porro prism - Wikipedia, the free encyclopedia
		In operation, light enters the large rectagular face of the prism, undergoes total internal reflection twice from the sloped faces, and exits again through the large rectangular face.
		It consists of a block of glass shaped as a right geometric prism with right-angled triangular end faces.
		Double Porro prism systems are used in small optical telescopes to re-orient an inverted image (an arrangement is known as a image erection system), and especially in many binoculars where they both erect the image and provide a longer, folded distance between the objective lenses and the eyepieces.
	en.wikipedia.org /wiki/Porro_prism

	Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry
		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.
		Therefore, the conclusion was that the existing combinatorial solid geometry database would remain unchanged, and that any application that required an explicit representation of the modeled shapes would obtain that explicit representation through some form of conversion of the underlying CSG database.
		Conversion of a faceted primitive solid will be exact, with each face, edge, and vertex of the NMG representation one-to-one with a topological element in the original representation.
	ftp.arl.mil /~mike/papers/90nmg/joined.html (20066 words)

	Thermal non destructive testing study of a circular defect in plane structure
		One concludes that the adimensional thermal resistance seen at the front face of the defect (in the direction of the propagation of heat), is larger than that seen at the rear face.
		Numerical analysis is useful to consider different defect geometry and determine their detectability without the expense of making and testing the corresponding specimens [5,6].
		For numerical simulation the initial and boundary condition must be defined as well as the material of the sample, material of the defect and sample geometry.
	www.ndt.net /article/v08n08/sahnoun/sahnoun.htm (1459 words)

	Math WASL questions
		Another face is 72 square inches and the other face is 48 square inches.
		He must cover an area 40 feet square, but he wants to leave a square in the center of the lawn, equaling one fourth of the total area.
		The floor of a storage shed is a rectangle with an area of 99 square feet.
	www.pasd.wednet.edu /school/mathWASL/7c.htm (1177 words)

	The Ultimate Dove prism - American History Information Guide and Reference
		A beam of light entering one of the sloped faces of the prism undergoes total internal reflection from the inside of the longest (bottom) face and emerges from the opposite sloped face.
		Dove prisms have an interesting property that when they are rotated along their longitudinal axis, the transmitted image rotates at twice the rate of the prism.
		A dove prism is a type of reflective prism which is used to invert an image.
	www.historymania.com /american_history/Dove_prism (1177 words)

	Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry
		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.
		The application will have no knowledge of the underlying primitives used to describe the objects in the database, nor will the application be aware that the library creates the surface description by extracting the objects from the geometry database, tessellating them into NMG solids, and then combining them via boolean formulas.
		Conversion of a faceted primitive solid will be exact, with each face, edge, and vertex of the NMG representation one-to-one with a topological element in the original representation.
	ftp.arl.mil /~mike/papers/90nmg/joined.html (1177 words)

	MSN Encarta - Search Results - keep a straight face
		Face (geometry), a plane surface or side of a three-dimensional object, such as a cube or pyramid.
		Pre-Algebra : Geometry: Measuring Three-Dimensional Figures : Surface Area of Prisms and Cylinders
		The man dies in all who keep silent in the face of tyranny.
	encarta.msn.com /keep+a+straight+face.html (1177 words)

	N-Dimensional Volumes
		Any remaining point P in the cube is in the first quadrant; therefore a ray through the origin must intersect one of the faces of the cube disjoint from V. The choice is unique by avoiding edges.
		The volume of the cube of height h is h^n, and the cube consists of n equal cones over a (n-1) dimensional face, which is really just an (n-1)-cube.
		Almost every point of the cube is in exactly one cone between a disjoint face and V, the cube consists of the union of cones from each of the n disjoint faces to V
	www.geom.uiuc.edu /docs/forum/ndvolumes (1177 words)

	Spherical Geometry
		The shortest path from one point to another on a spherical surface is along the arc of a great circle.
		In particular this means that each edge of a polyhedron determines and arc of a great circle, since the two end points of an edge lie on the surface of the sphere.
		Each plane polygon that is a face of the polyhedron is thus transformed into a spherical polygon that is a face of the spherical polyhedron.
	www.ul.ie /~cahird/polyhedronmode/newpage2.htm (359 words)

	OpenSG: Geometry
		Geometry is actually a common core like all the others from the last chapter, too.
		Indexed geometry in general is a lot better than non-indexed geometry, but still we have some issues that are not solved optimally.
		I had one or two long nights I spend with the geometry in general and the geometry iterators until I had succeeded in developing an algorithm that worked in that way I wanted it to.
	www.opensg.org /doc-1.4.0/Geometry.html (359 words)

	Inquire Point-Geometry Distance (3D)
		Geometry refers to any curve, edge, face, or trimmed face.
		Use this command to dynamically inquire the shortest distance between a point and geometry.
		You can inquire distances within a part or among components within an assembly or sub-assembly.
	www.vx.com /help/0088.htm (208 words)

	Research: Biometrics
		An overview of the following technologies: finger scanning, face geometry, hand/finger geometry, iris recognition, signature verification, voice verification and keystroke dynamics.
		Fingers, hands, eyes, face, voice, all are in use and could relegate PIN-based security to history.
		Cyber-SIGN uses the behavioral biometrics of a hand written signature to confirm the identity of a computer user.
	www.nwfusion.com /research/biometrics.html (208 words)

	gencyl2, gencyl3
		creates a solid straight homogenous generalized cylinder geometry object with base surface
		Creation of a 3D solid with two circular edges, and with a top face that is smaller than the bottom face.
		, with a solid circle base surface, cylinder axis of length 1 along the z-axis, and size of top surface equal to base surface.
	www-math.cudenver.edu /~jmandel/doc/refman/ref116.htm (166 words)

	Math Forum - Ask Dr. Math Archives: Middle School Higher-Dimensional Geometry
		Our 4th grade math textbook defines a cone as "A solid figure with one circular face and one vertex." This sounds reasonable until you read the textbook's definitions for face, edge, and vertex.
		If space is curved and Euclidean geometry doesn't apply, doesn't that mean that the value of pi changes and can sometimes be rational?
		My son was asked "how many edges are there on a solid cylinder?" on a recent math examination.
	mathforum.org /library/drmath/sets/mid_3d.html (756 words)

	Math Forum - Ask Dr. Math Archives: High School Higher-Dimensional Geometry
		Our 4th grade math textbook defines a cone as "A solid figure with one circular face and one vertex." This sounds reasonable until you read the textbook's definitions for face, edge, and vertex.
		How can I find the new volume and surface area of a cuboid after its volume has been reduced by 10%?
		Cones, Pyramids: Surface Area and Volume Formulas [03/11/2003]
	mathforum.org /library/drmath/sets/high_3d.html (756 words)

	FACIAL BEAUTY AND FRACTAL GEOMETRY
		Instead, the image of a female face with high ratings is composed from a fractal geometry based on rotated squares and powers of 2.
		Mandelbrot, B. The Fractal Geometry of Nature (San Francisco: Freeman, 1982).
		Generation of aesthetic faces by artists may also provide clues as to how human face recognition works.
	www.idsia.ch /~juergen/locoface/newlocoface.html (1293 words)

	VRML 2.0 Geometry Import Converter
		Vertex normals, vertex texture coordinates, vertex colors, per-face colors and material assignments are supported for the indexed face set geometry.
		If geometry is DEFd then USEd more than once in the VRML file (ie: the geometry is instantiated multiple times), then this converter will create one object definition internally and create multiple instances of the object definition (to replicate the behaviour of VRML).
		Level of detail allows varying levels of geoemtry detail to be displayed in a VRML browser; geometry closer to the camera will use the highest level of detail and geometry far from the camera will use the lowest level of detail.
	www.okino.com /conv/imp_vrml.htm (3041 words)

	A Survey of Visibility for Walkthrough Applications
		Back-face culling algorithms avoid rendering geometry that faces away from the viewer, while viewing-frustum culling algorithms avoid rendering geometry that is outside the viewing frustum.
		This technique is global as it involves interrelationship among polygons and is thus far more complex than back-face and view-frustum culling.
		Visibility determination, the process of deciding what surfaces can be seen from a certain point, is one of the fundamental problems in computer graphics.
	www.cs.sunysb.edu /~mogupta/research/Vis_survey/Visibility_survey.html (3041 words)

	Seawana - Conspiracy Debunking
		It's distance from the face is exactly 1/360th of the martian polar distance.
		It has five sides and displays Pentagonal and Hexagonal geometry and bilateral symmetry.
		It points towards the face, the city and Tholus (another feature required to make this as poignant as possible).
	www.seawana.com /conspiracy_cydonia_mensae.php?page=4 (3041 words)

	Acquiring the Reflectance Field of a Human Face
		In our work we also obtain a range scan of the face which allows us to project the re-illuminated appearance onto the geometry and render the face from arbitrary viewpoints.
		Below each face rendering is the lighting environment resampled to the same resolution as the Light Stage lighting direction data at 64 × 32 pixels.
		We present a method to acquire the reflectance field of a human face and use these measurements to render the face under arbitrary changes in lighting and viewpoint.
	athens.ict.usc.edu /Research/LS (1073 words)

	Patent 4877340: Process for deriving the contact geometry for raceways and rollers of a roller bearing
		The present invention resides in a process for deriving the contact geometry and profiles of the raceways and roller side faces as well as raceway angle modification in a tapered roller bearing for which the load cycle and relative misalignment of the inner and outer races are known.
		Contact geometry refers to both the profile and taper of a surface such as the cone raceway 10, cup raceway 16, or side face 18 of the roller 6.
		To derive suitable contact geometry, initial contact geometries are selected somewhat arbitrarily for the cup and cone raceways and for the roller side faces.
	www.freepatentsonline.com /4877340.html (1073 words)

	toric-note.txt
		In toric geometry, we face the same problem.
		In algebraic geometry, an object is usually (locally) given by equations or by an algebra, to understand it geometrically is a big problem.
		The goal of this course is to develop the foundational material on toric geometry and the applications, with many examples.
	www.math.sunysb.edu /~bzhang/toric-note.txt (1065 words)

	anda pengunjung ke
		According to tradition, one of the first to provide mathematical proofs based on deduction was the philosopher Thales, who did his work in geometry about 600 B.C. The Greek philosopher Pythagoras, who lived about 550 B.C., explored the nature of numbers, believing that everything could be understood in terms of whole numbers or their ratios.
		Mathematics is one of the most useful and fascinating divisions of human knowledge.
		Statistics is the branch of mathematics concerned with the collection and analysis of large bodies of data to identify trends and overall patterns.
	www.geocities.com /siswaonline/mathematics.html (3291 words)

	Beyond3D - Which was nice.
		The correct pixels will also be covered if you are rendering back faces and clipping the near plane but not the far plane and if you are rendering front faces and clipping the far plane but not the near plane.
		The first problem is solved due to an often forgotten (in these days of fast depth buffers) fact about convex objects, the only hidden surface removal needed for a closed convex object is back face culling
		The hardware is very good at projecting geometry, but our requirements for light volumes are different from the standard mesh projection.
	www.beyond3d.com /articles/deflight/index.php?p=6 (1009 words)

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