For 3D animation Bézier curves are often used to define 3D paths as well as 2D curves for keyframe interpolation.

For example, subjects who stare continuously at a Necker Cube usually report that they experience it " flipping " between two 3D configurations, even though the stimulus itself remains the same.

For 3D animations, all frames must be rendered after modeling is complete.

For 3D deconvolution, one typically provides a series of images derived from different focal planes ( called a Z-stack ) plus the knowledge of the PSF, which can be derived either experimentally or theoretically from knowing all contributing parameters of the microscope.

For sufficiently capable combinations of hardware and operating systems, X. Org plans to access the video hardware only via the Direct Rendering Infrastructure ( DRI ), using the 3D hardware.

For hardware accelerated 3D and 2D acceleration on Linux, Mac OS X and DOS, AllegroGL and OpenLayer are available.

For example, if a certain protein is implicated in a disease, its 3D structure provides the information to design drugs to interfere with the action of the protein.

For instance, the missiles in Total Annihilation travel in real-time in simulated 3D space, and they can miss their target by passing over or under it.

* For 3D Studio Max: PaxRendus by Archonus ( discontinued )

For example, one can zoom in and out of GUI-buttons in the same way one zooms in and out in the 3D viewport.

For example Nissan ( 2008 LA Auto Show ), Best Buy ( 2009 ), and others used webcam based AR to connect 3D models with printed materials.

For example, if software programmed using Direct3D requires pixel shaders and the video card on the user's computer does not support that feature, Direct3D will not emulate it, although it will compute and render the polygons and textures of the 3D models, albeit at a usually degraded quality and performance compared to the hardware equivalent.

For example, video cards with 3D accelerators ( most, ) have two voltage and clock rate settings, one for 2D and one for 3D, but were designed to operate with three voltage stages, the third being somewhere between the aforementioned two, serving as a fallback when the card overheats or as a middle-stage when going from 2D to 3D operation mode.

For example, a teapot is listed as a primitive in 3D Studio Max.

For the price of a second Voodoo2 board, users could easily improve 3D throughput.

For games published by Apogee Software Ltd., see 3D Realms.

For example if you are being told about a chair it is clear to you that the chair is in space, that it is 3D.

For 3D displacement fields it is expressed as derivatives of displacement functions in terms of a second order tensor ( with 6 independent elements ).

For the 1998 title Grim Fandango, LucasArts retired the SCUMM engine in favor of a new 3D engine.

For example, 3D logos, chrome versions and so forth.

For movie animations, several images ( frames ) must be rendered, and stitched together in a program capable of making an animation of this sort.

For 2D figure animations, separate objects ( illustrations ) and separate transparent layers are used, with or without a virtual skeleton.

For 2D vector animations, the rendering process is the key frame illustration process, while tweened frames are rendered as needed.

The heat spike sputtering often increases nonlinearly with energy, and can for small cluster ions lead to dramatic sputtering yields per cluster of the order of 10000 .< ref name = Bouneau1982 > For animations of such a process see here.

For some animations, holding will make the animation move just slightly slower, and holding will result in an extremely slow motion animation.

For example, the title and endgame animations are very different.

For example, each of the pinball tables was now three screens high instead of two, all tables except Stones ' N Bones supported three flippers, and the in-game animations ( though sparse ) were more advanced.

For such episode, Anime News Network liked the animations ' quality as well as the main characters Ban and Ginji.

For the most part, the game's cinematic, prerendered visuals were lauded ; Philip Jong of Adventure Classic Gaming comments that " Cyberia is one of the first game titles to combine computer animations and Hollywood film technique to form visually stunning graphics and cut scenes.

In March 2007, Reynolds filed a Request For Correction ( RFC ) with NIST citing his belief that real commercial jets ( Boeings ) did not hit the WTC towers and making claims of faulty physics in NIST's computer animations of planes impacting the WTC Twin Towers on 9 / 11.

For the opening song, " Zoo Station ", Bono entered as his primary stage persona, " The Fly ", appearing silhouetted against a giant screen of blue and white video noise interwoven with glimpses of xerox animations of the band members.

However, during preschooler's programming, the ABC network identities have been replaced with more kid-friendly animations which display a new " ABC For Kids " identity, which is similar to a former identity.

For example, one of the objects of Sinistar is to shoot asteroids to get them to release resources which the player needs to collect.

For example, if one defines categories in terms of sets, that is, as sets of objects and morphisms ( usually called a small category ), or even locally small categories, whose hom-objects are sets, then there is no category of all sets, and so it is difficult for a category-theoretic formulation to apply to all sets.

For nearby astronomical objects ( such as stars in our galaxy ) luminosity distance D < sub > L </ sub > is almost identical to the real distance to the object, because spacetime within our galaxy is almost Euclidean.

For much more distant objects the Euclidean approximation is not valid, and General Relativity must be taken into account when calculating the luminosity distance of an object.

For objects at very great distances ( outside our galaxy ) the luminosity distance D < sub > L </ sub > must be used instead of d ( in parsecs ).

For planets, comets and asteroids a different definition of absolute magnitude is used which is more meaningful for nonstellar objects.

For two geometric objects P and Q represented by the relations P ( x, y ) and Q ( x, y ) the intersection is the collection of all points ( x, y ) which are in both relations.

For example, the view that numbers are Platonic objects was revived by Kurt Gödel as a result of certain puzzles that he took to arise from the phenomenological accounts.

For example, many everyday objects are hundreds or thousands of centimetres long, such as humans, rooms and buildings.

For most macroscopic objects, this wavelength is so short that it is not meaningful to assign a wavelength to them.

For example, when a laboratory apparatus was developed that could reliably fire one electron at a time through the double slit, the emergence of an interference pattern suggested that each electron was interfering with itself, and therefore in some sense the electron had to be going through both slits at once — an idea that contradicts our everyday experience of discrete objects.

For this reason these sorts of add-ons are typically placed in their own namespaces and objects.

For modelling terrain or other objects given a set of sample points, the Delaunay triangulation gives a nice set of triangles to use as polygons in the model.

For formal approaches, the core message of ' dialectical opposition / contradiction ' must be understood as ' some sense ' opposition between the objects involved in a directly associated context.

For example, suppose a and b are two sensible objects in a certain situation of affairs.

For example, the review falsely accuses Husserl of subjectivizing everything, so that no objectivity is possible, and falsely attributes to him a notion of abstraction whereby objects disappear until we are left with numbers as mere ghosts.

For example, all types of potential energy are converted into kinetic energy when the objects are given freedom to move to different position ( as for example, when an object falls off a support ).

For Avicenna ( Ibn Sina ), for example, the a tabula rasa is a pure potentiality that is actualized through education, and knowledge is attained through " empirical familiarity with objects in this world from which one abstracts universal concepts " developed through a " syllogistic method of reasoning in which observations lead to propositional statements which when compounded lead to further abstract concepts.

: For identifiable, countable objects:

For an earthbound observer, objects in the sky complete one revolution around the Earth in 1 day.

For other examples of quotient objects, see quotient ring, quotient space ( linear algebra ), quotient space ( topology ), and quotient set.

For example, air hoar is a deposit of hoar frost on objects above the surface, such as tree branches, plant stems, wires ; surface hoar is formed by fernlike ice crystals directly deposited on snow, ice or already frozen surfaces ; crevasse hoar consists of crystals that form in glacial crevasses where water vapour can accumulate under calm weather conditions ; depth hoar refers to cup shaped, faceted crystals formed within dry snow, beneath the surface.

For these reasons, refractory metals with high melting temperature ( for e. g. W, Mo, Pt, Ir ) are conventional objects for FIM experiments.