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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.
Projection mapping, similar to video mapping and spatial augmented reality, is a projection technique [1] [2] used to turn objects, often irregularly shaped, into display surfaces for video projection. The objects may be complex industrial landscapes, such as buildings, small indoor objects, or theatrical stages.
Gott, Goldberg and Vanderbei’s double-sided disk map was designed to minimize all six types of map distortions. Not properly "a" map projection because it is on two surfaces instead of one, it consists of two hemispheric equidistant azimuthal projections back-to-back. [5] [6] [7] 1879 Peirce quincuncial: Other Conformal Charles Sanders Peirce
Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional projection plane. The projected point on the plane is chosen such that it is collinear with the corresponding three-dimensional point and the centre of projection .
Stereographic projection and fault kinematics Reyuntec Public domain Cross-platform: ASP.net Free web application (english and spanish) Generic Mapping Tools [16] Map generation and analysis Lamont–Doherty and University of Hawaii: GPL: Cross-platform: C: Implemented in OpendTect GPlates [17] Interactive visualization of plate tectonics
The geometry related to the mapping of a pinhole camera is illustrated in the figure. The figure contains the following basic objects: A 3D orthogonal coordinate system with its origin at O. This is also where the camera aperture is located. The three axes of the coordinate system are referred to as X1, X2, X3.