2002 · 103 citations · 11 references
ComputingComputer ScienceComputational GeometryComputer VisionMachine VisionAffine GeometryCamera GeometryCoordinate TransformationsMulti-view GeometryPose EstimationStereo VisionCamera CalibrationExtrinsic Camera ParametersIntrinsic Camera ParametersMetric CalibrationMetric Camera CalibrationProjective RepresentationsStereo CalibrationStereo Reconstruction
Describes a method to determine affine and metric calibration for a stereo rig. The method does not involve the use of calibration objects or special motions, but simply a single general motion of the rig with fixed parameters (i.e. camera parameters and relative orientation of the camera pair). The novel aspects of this work are: first, relating the distinguished objects of Euclidean geometry to fixed entities of a Euclidean transformation matrix; second, showing that these fixed entities are accessible from the conjugate Euclidean transformation arising from the projective transformation of the structure under a motion of the fixed stereo rig; and third, a robust and automatic implementation of the method. Results are included of affine and metric calibration and structure recovery using images of real scenes.
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William H. Press, Saul A. Teukolsky, William T. Vetterling et al. · 1994 · 15.4K citations
Three-dimensional computer vision: a geometric viewpoint
Choice Reviews Online · 1994 · 3.1K citations
Algebraic Projective Geometry.
W. F. Atchison, J. G. Semple, G. T. Kneebone · American Mathematical Monthly · 1953 · 708 citations