Perturbation analysis for circles, spheres, and generalized hyperspheres fitted to data by geometric total least-squares

DOI10.1090/S0025-5718-03-01613-2zbMath1034.65012MaRDI QIDQ4433125

Yves Nievergelt

Publication date: 29 October 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

circlespherehyperplanefittingperturbation analysishyperspheregeometric total least squares

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (3)

Is the best fitting curve always unique? ⋮ Fast and numerically stable circle fit ⋮ Median spheres: Theory, algorithms, applications

Uses Software

• mctoolbox
• VanHuffel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Circle fitting by linear and nonlinear least squares
• Least-square fitting with spheres
• A tutorial history of least squares with applications to astronomy and geodesy
• On the Early History of the Singular Value Decomposition
• 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

This page was built for publication: Perturbation analysis for circles, spheres, and generalized hyperspheres fitted to data by geometric total least-squares