# Conjugate Points

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## conjugate points

[′kän·jə·gət ′pȯins]
(mathematics)
For a conic section, two points either of which lies on the line that passes through the points of contact of the two tangents drawn to the conic from the other.
(optics)
Any pair of points such that all rays from one are imaged on the other within the limits of validity of Gaussian optics. Also known as conjugate foci.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Conjugate Points

in optics, a pair of points in an optical system such that if one point represents the object, the other point represents its image. In accordance with the principle of reversibility, the object and image can be interchanged. Strictly speaking, the concept of conjugate points is applicable only in the paraxial regions of ideal (nonaberrational) optical systems (seePARAXIAL RAYS). The concept, however, is often used as an approximation in real systems.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
where [B.sub.X], [B.sub.Y], [B.sub.Z] are components of baseline of a stereo pair [X1 Y1 Z1]=[x y -f]T and [X2 Y2 Z2]=R[x' y' -f]T coordinates of conjugate points in the image space coordinate system, (x,y) and (x',y') represent conjugate points in the image space coordinates system, the rotation matrix [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
This model can directly calculate the eight unknowns [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with eight or more conjugate points without approximate values.
In the epipolar equation, the x' and x represent the normalized image coordinates of conjugate points from the left and right images, respectively.
In the new model, the original image point coordinate of conjugate points and focal lengths f are used, and the constraint includes the components relationship in rotation R and baseline B for improving and ensuring the accuracy and stability of relative orientation.

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