An example of a projection is the function π < sub > xy </ sub > defined by, which projects an arbitrary point in 3D space to a point on the x – y-plane, where the third coordinate ( z ) is equal to 0.

A hexeract ( 6-cube ) pattern using 6D orthographic projection to a 3D Perspective ( visual ) object ( the Rhombic triacontahedron ) using the Golden ratio in the basis vector s. This is used to understand the aperiodic Icosahedron | Icosahedral structure of Quasicrystals.

** Volume rendering, used to display a 2D projection of a 3D discretely sampled data set

A two-dimensional 3D projection # Perspective projection | perspective projection of a sphere

The recent success of digitally projected 3D movies has led to a demand from some theater owners to be able to show these movies in 3D without incurring the high capital cost of installing digital projection equipment.

In June 2012 Panavision 3D systems for both 35 mm film and digital projection were withdrawn from the market by DVPO theatrical ( who marketed these system on behalf of Panavision ) citing " challenging global economic and 3D market conditions ".

Due to extremely high cost of modern digital projection installations, a new projection system option, based on the proven 6 perf pull-down, first used in 3 strip Cinerama is now being offered for low cost film based 3D stereoscopic presentations.

Image is roughly 50 % brighter and more detailed than 4 perf 35 mm 3D or flat projection.

The quantity and direction of the pressure applied by the user, the skin conditions and the projection of an irregular 3D object ( the finger ) onto a 2D flat plane introduce distortions, noise and inconsistencies in the captured fingerprint image.

Direct3D comes with D3DX, a library of tools designed to perform common mathematical calculations on vectors, matrices and colors, calculating look-at and projection matrices, spline interpolations, and several more complicated tasks, such as compiling or assembling shaders used for 3D graphic programming, compressed skeletal animation storage and matrix stacks.

The theatre is owned and run by Leiston-cum-Sizewell Town Council and supported by the Leiston Film Theatre Support Club which has raised money for stage refurbishment and enabled the theatre to install the latest digital 3D projection system.

Eventually, the 3D version was completely scrapped, Lucy Bradshaw was brought in from EA in November 1997 to lead the SC3K project, and a new revision based on SC2Ks pseudo-isometric dimetric projection and sprite-based graphics was redeveloped from scratch.

Some 3D shapes in isometric projection.

< span style =" color :# 000000 ; background :# fffff ;"> Black labels </ span > denote dimensions of the 3D object, while < span style =" color :# ff0000 ; background :# fffff ;"> red labels </ span > denote dimensions of the 2D projection ( drawing ).

Noting that the two film sensations of 1952 had been Cinerama, which required three projectors to fill a giant curved screen, and " Natural Vision " 3D, which got its effects of depth by requiring the use of polarized glasses, Fox mortgaged its studio to buy rights to a French anamorphic projection system which gave a slight illusion of depth without glasses.

* In first-angle projection, the projectors originate as if radiated from a viewer's eyeballs and shoot through the 3D object to project a 2D image onto the plane behind it.

* In third-angle projection, the projectors originate as if radiated from the 3D object itself and shoot away from the 3D object to project a 2D image onto the plane in front of it.

A section of a quintic Calabi – Yau three-fold ( 3D projection )

** 3D projection

For example, the 3D scene is computationally decomposed into a series of " slices ," which can be rectangular, disc-shaped, or helical cross-sectioned, whereupon they are projected onto or from a display surface undergoing motion.

3D graphics applications tend to lend themselves well to SIMD processing as they rely heavily on operations with 4-dimensional vectors.

* Plücker coordinates are a way of representing lines in 3D Euclidean space using a six-tuple of numbers as homogeneous coordinates.

In mechanics and geometry, the 3D rotation group is the group of all rotations about the origin of three-dimensional Euclidean space R < sup > 3 </ sup > under the operation of composition.

Digital geometry deals with discrete sets ( usually discrete point sets ) considered to be digitized models or images of objects of the 2D or 3D Euclidean space.

In rendering of 3D models, triangles and polygons in space might be primitives.

These work by using the game client library to calculate an enemy player's 2D coordinates from 3D space and automatically moving the player's mouse to the enemy target.

The position in 3D space of each crystal face is plotted on a stereographic net, e. g. Wulff net or Lambert net.

The levels of Duke Nukem 3D take the player outdoors and indoors through rendered street scenes, military bases, deserts, a flooded city, space stations, moon bases and a Japanese restaurant.

Information about the origin of the signal in 3D space can be learned by applying additional magnetic fields during the scan.

Three-dimensional space | 3D ( left and center ) and 2D geometric model | 2D ( right ) representations of the terpenoid molecule atisane

Such mechanics allow precise sword fighting in a 3D space.

The parts of the wormhole could be higher-dimensional analogues for the parts of the curved 2D surface ; for example, instead of mouths which are circular holes in a 2D plane, a real wormhole's mouths could be spheres in 3D space.

In general, the refractive index is a scalar field of position in space, that is, in 3D euclidean space.

CAD may be used to design curves and figures in two-dimensional ( 2D ) space ; or curves, surfaces, and solids in three-dimensional ( 3D ) space.

Bodoni instead uses the money to build a replica rocket from an old mock-up, and sets up a 3D theater inside the cabin and convinces the children they are actually going through space.

The integration of the gyroscope has allowed for more accurate recognition of movement within a 3D space than the previous lone accelerometer within a number of smartphones.

A popular approach is to describe a closed 3D surface in RGB space and determine the signed distance the point ( r, g, b ) is from this surface, or to find the distance the point ( r, g, b ) is between two closed nested surfaces.

A similar principle is employed in tiled rendering ( most famously the PowerVR 3D chip ); that is, primitives are sorted into screen space, then rendered in fast on-chip memory, one tile at a time.

( In the 3D space of powers of mass, time, and distance, we can say that the vector for mass is linearly independent from the vectors for the three other variables.

Binary space partitioning was developed in the context of 3D computer graphics, where the structure of a BSP tree allows spatial information about the objects in a scene that is useful in rendering, such as their ordering from front-to-back with respect to a viewer at a given location, to be accessed rapidly.

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.

In the case of Homeworld, the game is set in space, offering a uniquely exploitable 3D environment in which all units can move vertically in addition to the horizontal plane.

Super Mario 64s controls were fully analog, and interpreted a 360-degree range of motion into navigation through a 3D space relative to the camera.

If you change this example to then the analogy would be flying in space to reach any position in 3D space ( ignoring the orientation of the aircraft ).