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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.
It is the reverse process of obtaining 2D images from 3D scenes. The essence of an image is a projection from a 3D scene onto a 2D plane, during which process the depth is lost. The 3D point corresponding to a specific image point is constrained to be on the line of sight.
The triangulation problem is in principle trivial. Since each point in an image corresponds to a line in 3D space, all points on the line in 3D are projected to the point in the image. If a pair of corresponding points in two, or more images, can be found it must be the case that they are the projection of a common 3D point x.
FreeCAD is a general-purpose parametric 3D computer-aided design (CAD) modeler and a building information modeling (BIM) software application with finite element method (FEM) support. [4] It is intended for mechanical engineering product design but also expands to a wider range of uses around engineering, such as architecture or electrical ...
CloudCompare is a 3D point cloud processing software (such as those obtained with a laser scanner).It can also handle triangular meshes and calibrated images. Originally created during a collaboration between Telecom ParisTech and the R&D division of EDF, the CloudCompare project began in 2003 with the PhD of Daniel Girardeau-Montaut on Change detection on 3D geometric data. [2]
The mapping from the coordinates of a 3D point P to the 2D image coordinates of the point's projection onto the image plane, according to the pinhole camera model, is given by
Model used for image rectification example. 3D view of example scene. The first camera's optical center and image plane are represented by the green circle and square respectively. The second camera has similar red representations. Set of 2D images from example. The original images are taken from different perspectives (row 1).
The angled corner of the plane of projection is addressed later. Fig.3: Projectors emanate parallel from all points of the object, perpendicular to the plane of projection. Fig.4: An image is created thereby. Fig.5: A second, horizontal plane of projection is added, perpendicular to the first. Fig.6: Projectors emanate parallel from all points ...
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