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- W71833335 abstract "A stereo vision system requires accurate knowledge of the internal parameters of its two cameras and of the relative orientation between them in order to faithfully reconstruct a scene from corresponding image points. When incorrect values for the parameters of the stereo system are used, the resulting reconstruction is distorted in a systematic way. The transformation between the true scene structure and its distorted reconstruction, which we call the shape distortion transformation, is a quadratic Cremona transformation--a rational transformation that is one-to-one almost everywhere, but that does not, in general, preserve collinearity.Our distortion framework describes and enables the analysis of situations where insufficient information is available to compute even a weak calibration of a stereo rig. It also makes possible a thorough error analysis of systematic structure errors in structure-from-motion.The global, qualitative, behavior of the shape distortion is studied by analyzing global properties of the transformation of surfaces and their sections by planes. Local properties are examined by deriving the distortion of curvature of curves and surfaces. Both global and local viewpoints provide evidence of severe non-linear distortions in the vicinity of the camera centers, thereby indicating that their consideration is of particularly high relevance for near regions of the stereo rig. This is consistent with experimental evidence from psychophysics, which shows that distortions in the near range can not be adequately described by linear transformations." @default.
- W71833335 created "2016-06-24" @default.
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- W71833335 date "1998-03-17" @default.
- W71833335 modified "2023-09-23" @default.
- W71833335 title "Distortion of stereoscopic visual space" @default.
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- W71833335 hasPublicationYear "1998" @default.
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