Hyperspheres and hyperplanes fitted seamlessly by algebraic constrained total least-squares
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Publication:5943025
DOI10.1016/S0024-3795(01)00263-4zbMath1016.65020MaRDI QIDQ5943025
Publication date: 28 July 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20)
Related Items (5)
Consistent least squares fitting of ellipsoids ⋮ A cell based particle method for modeling dynamic interfaces ⋮ Consistent estimation in an implicit quadratic measurement error model ⋮ Total least squares fitting of \(k\)-spheres in \(n\)-D Euclidean space using an \((n+2)\)-D isometric representation ⋮ Fitting conics of specific types to data
Uses Software
Cites Work
- An Analysis of the Total Least Squares Problem
- A generalization of the Eckart-Young-Mirsky matrix approximation theorem
- Circle fitting by linear and nonlinear least squares
- Computing circles and spheres of arithmetic least squares
- Orthonormal distance fitting by circles and ellipses with given area
- Least-square fitting with spheres
- SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
- An Algorithm for Least-Squares Circle Fitting to Data with Specified Uncertainty Ellipses
- On the Early History of the Singular Value Decomposition
- Total Least Squares: State-of-the-Art Regression in Numerical Analysis
- Classroom Note:Finding the Center of a Circular Starting Line in an Ancient Greek Stadium
- Perturbation bounds in connection with singular value decomposition
- Least-squares fitting of circles and ellipses
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