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Structure from motion (SfM) [1] is a photogrammetric range imaging technique for estimating three-dimensional structures from two-dimensional image sequences that may be coupled with local motion signals. It is studied in the fields of computer vision and visual perception.
In computer vision, triangulation refers to the process of determining a point in 3D space given its projections onto two, or more, images. In order to solve this problem it is necessary to know the parameters of the camera projection function from 3D to 2D for the cameras involved, in the simplest case represented by the camera matrices .
In photogrammetry and computer stereo vision, bundle adjustment is simultaneous refining of the 3D coordinates describing the scene geometry, the parameters of the relative motion, and the optical characteristics of the camera(s) employed to acquire the images, given a set of images depicting a number of 3D points from different viewpoints.
Epipolar constraint and triangulation. If the relative position of the two cameras is known, this leads to two important observations: ... Visual motion of curves and ...
Given a group of 3D points viewed by N cameras with matrices {} = …, define to be the homogeneous coordinates of the projection of the point onto the camera. The reconstruction problem can be changed to: given the group of pixel coordinates {}, find the corresponding set of camera matrices {} and the scene structure {} such that
Diagram describing relationship of image displacement to depth with stereoscopic images, assuming flat co-planar images. A pixel records color at a position. The position is identified by position in the grid of pixels (x, y) and depth to the pixel z. Stereoscopic vision gives two images of the same scene, from different positions.
Egomotion is defined as the 3D motion of a camera within an environment. [16] In the field of computer vision , egomotion refers to estimating a camera's motion relative to a rigid scene. [ 17 ] An example of egomotion estimation would be estimating a car's moving position relative to lines on the road or street signs being observed from the ...
When two cells in the Voronoi diagram share a boundary, it is a line segment, ray, or line, consisting of all the points in the plane that are equidistant to their two nearest sites. The vertices of the diagram, where three or more of these boundaries meet, are the points that have three or more equally distant nearest sites.