Epipolar Fields on Surfaces
نویسندگان
چکیده
The view lines associated with a family of proole curves of the projection of a surface onto the retina of a moving camera deenes a multi-valued vector eld on the surface. The integral curves of this eld are called epipolar curves and together with a parametrization of the prooles provide a parametrization of regions of the surface. This parametrization has been used in the systematic reconstruction of surfaces from their prooles. We present a complete local investigation of the epipolar curves, including their behaviour in a neighbourhood of a point where the epipolar parametrization breaks down. We also study the epipolar constraint in the image, and the geometry of the view lines. These results give a systematic way of detecting the gaps left by reconstruction of a surface from prooles. They also suggest methods for lling in these gaps.
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