Robot vision
The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
Invariant Properties of Straight Homogeneous Generalized Cylinders and Their Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We propose in this article a reconstruction technique which consists in defining a parametric surface lying on a closed curve by setting the extremal behavior of the surface along the curve on which it lies. Therefore, we must build a set of curves in space from a stereo reconstruction of matched and closed contours in an image pair. Then, we use photometric information extracted near the image contours to define the local behavior of the surfaces lying on the closed curves. In order to build such a surface we use the duality existing between a stereo-based reconstruction which is able to determine the position of points in the scene space and photoclinometry which brings information about the shape of the objects in the scene. Our geometric model is composed of a radial set of triparametric Gregory patches for each surface to reconstruct. The topological concepts brought by those kind of surfaces and the use of photometric models gave to this study a framework leading both image analysis processing and reconstruction geometrical processing.