Critical Surfaces and Horopter Curves

Part of the Springer Series in Information Sciences book series (SSINF, volume 28)


In the ambiguous case of reconstruction the points giving rise to the image correspondences lie on certain surfaces of degree two known as critical surfaces. The critical surfaces compatible with the same ambiguous set of image correspondences are closely related to each other. In this chapter the geometry underlying the ambiguous case is explored in detail. If the camera calibration is known then the intersection of a critical surface pair contains a space curve of degree three known as a horopter curve. The horopter curve is of central importance, in that many of the properties of critical surfaces arise from the properties of horopter curves.


Tangent Plane Space Curve Camera Calibration Optical Centre Critical Surface 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  1. 1.Hirst Research CentreGEC-Marconi LimitedWembley, MiddlesexUK

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