Collinearity equation


Collinearity equation

The collinearity equation is used in photogrammetry and remote sensing to relate coordinates in a sensor plane (in two dimensions) to object coordinates (in three dimensions).

The most obvious use of these equations is for images recorded by a camera. In this case the equation describes transformations from object space (X, Y, Z) to image coordinates (x, y). It forms the basis for the equations used in bundle adjustment. They indicate that the image point (on the sensor plate of the camera), the observed point (on the object) and the projection center of the camera were aligned when the picture was taken.


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Collinearity — A set of points is collinear (often misspelled as, but should not be confused with, co linear or colinear) if they lie on a single line. Related concepts include: In mathematics: Line (geometry), a primitive (undefined) object type in most… …   Wikipedia

  • Line (geometry) — Three lines the red and blue lines have the same slope, while the red and green ones have same y intercept …   Wikipedia

  • Dummy variable (statistics) — In statistics and econometrics, particularly in regression analysis, a dummy variable (also known as an indicator variable) is one that takes the values 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to …   Wikipedia

  • Incidence (geometry) — In geometry, the relations of incidence are those such as lies on between points and lines (as in point P lies on line L ), and intersects (as in line L1 intersects line L2 , in three dimensional space). That is, they are the binary relations… …   Wikipedia

  • Choice Modelling — attempts to model the decision process of an individual or segment in a particular context. Choice modelling may also be used to estimate non market environmental benefits and costs [Jeff Bennet University of Queensland… …   Wikipedia

  • Choice modelling — attempts to model the decision process of an individual or segment in a particular context. Choice modelling may also be used to estimate non market environmental benefits and costs[1]. Well specified choice models are sometimes able to predict… …   Wikipedia

  • Rational trigonometry — is a recently introduced approach to trigonometry that eschews all transcendental functions (such as sine and cosine) and all proportional measurements of angles. In place of angles, it characterizes the separation between lines by a quantity… …   Wikipedia

  • Variance inflation factor — In statistics, the variance inflation factor (VIF) is a method of detecting the severity of multicollinearity. More precisely, the VIF is an index which measures how much the variance of a coefficient (square of the standard deviation) is… …   Wikipedia

  • spectroscopy — spectroscopist /spek tros keuh pist/, n. /spek tros keuh pee, spek treuh skoh pee/, n. the science that deals with the use of the spectroscope and with spectrum analysis. [1865 70; SPECTRO + SCOPY] * * * Branch of analysis devoted to identifying… …   Universalium

  • Multicollinearity — is a statistical phenomenon in which two or more predictor variables in a multiple regression model are highly correlated. In this situation the coefficient estimates may change erratically in response to small changes in the model or the data.… …   Wikipedia