Fitting a set of points by a circle
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Efficient approximation and optimization algorithms for computational metrology
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Approximating the diameter, width, smallest enclosing cylinder, and minimum-width annulus
Proceedings of the sixteenth annual symposium on Computational geometry
Evaluating the cylindricity of a nominally cylindrical point set
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
On the circle closest to a set of points
Computers and Operations Research - Location analysis
Least Squares Fitting of Circles
Journal of Mathematical Imaging and Vision
Locating a minisum circle in the plane
Discrete Applied Mathematics
Operations Research
Median spheres: theory, algorithms, applications
Numerische Mathematik
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The problem of fitting cylinders to data arises in science and industry. This article proves the existence of generalized cylinders-Cartesian products of generalized spheres and affine manifolds-fitted to data by using many criteria, including generalized least-squares, weighted median, and midrange regressions.