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Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections.
A 3D projection (or graphical projection) is a design technique used to display a three-dimensional (3D) object on a two-dimensional (2D) surface. These projections rely on visual perspective and aspect analysis to project a complex object for viewing capability on a simpler plane.
Early examples of what would lead to more formal technical drawing practices included the drawings and geometric calculations used to construct aqueducts, bridges, and fortresses. Technical drawings also figured in the 12th-century design of cathedrals and castles, albeit such drawings were more typically produced by artisans and stonemasons ...
A cutaway drawing is a technical illustration, in which part of the surface of a three-dimensional model is removed in order to show some of the model's interior in relation to its exterior. The purpose of a cutaway drawing is to "allow the viewer to have a look into an otherwise solid opaque object.
A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched. The style of crosshatching often indicates the ...
A simple example of a mechanical method would use a depth gauge to measure a distance to a rotating object put on a turntable. More applicable radiometric methods emit radiance towards the object and then measure its reflected part. Examples range from moving light sources, colored visible light, time-of-flight lasers [7] to microwaves or 3D ...
The engineering community utilizes them as designs of new devices, vehicles and structures as well as a host of other uses. In recent decades the earth science community has started to construct 3D geological models as a standard practice. 3D models can be the basis for physical devices that are built with 3D printers or CNC machines.
Another method is the tangential continuity method which produces 3-dimensional building paths with locally varying thicknesses. This method results in creating constant contact surfaces between two layers, therefore, the geometrical gaps between two layers which often limits the 3D printing process will be avoided.