Hyperspheres and hyperplanes fitted seamlessly by algebraic constrained total least-squares
نویسندگان
چکیده
منابع مشابه
Perturbation analysis for circles, spheres, and generalized hyperspheres fitted to data by geometric total least-squares
A continuous extension of the objective function to a projective space guarantees that for each data set there exists at least one hyperplane or hypersphere minimizing the average squared distance to the data. For data sufficiently close to a hypersphere, as the collinearity of the data increases, so does the sensitivity of the fitted hypersphere to perturbations of the data.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2001
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00263-4