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The focus of this paper is the analysis of circular cylinders through sets of points in three dimensions. This investigation has a number of motivations. Clearly, if a cylinder of radius R and direction t passes through a set of points P, it means also that there is a line of direction t tangent to the sphere of radius R and centered at the points of P. Another interpretation is that an observer looking at P from infinity in direction t sees the points of P as cocircular. So, this kind of operations arises in surface reconstruction, visibility and metrology. [PUBLICATION ABSTRACT]