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Representation and description of curved objects
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Recovery of SHGCs From a Single Intensity View
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3D Surface Reconstruction Using Occluding Contours
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Full Volumetric Descriptions From Three Intensity Images
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3-D to 2-D Pose Determination with Regions
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Perception of 3-D Surfaces from 2-D Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
B-spline Contour Representation and Symmetry Detection
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Toward Object-Based Heuristics
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Shape Models and Object Recognition
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Journal of Intelligent and Robotic Systems
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A fundamental group in computer vision is the recovery of three-dimensional shape from image data. While this problem is in general underconstrained, the authors show that it can be simplified in the case where the objects being viewed are generalized cylinders. They consider the class of straight homogeneous generalized cylinders (SHGCs), without any further assumption on the viewing direction or the precise shape of these objects. They present a rigorous mathematical study of the geometry of SHGCs and characterize their Gaussian curvature and occluding contours, and use these results to prove several new invariant properties of the contours of SHGCs. These properties are, in turn, used in two implemented algorithms for recovering SHGC descriptions from image contours. Several examples of segmentation of real images are given. Other applications are also discussed.