논문KCI 등재
An Algorithm for Fitting of Spheres
한국수학교육학회|2004.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제11권 제1호|pp. 37-49
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Abstract
We are interested in the problem of ¯tting a sphere to a set of data points in the three dimensional Euclidean space. In SpÄath [6] a descent algorithm already have been given to ¯nd the sphere of best ¯t in least squares sense of minimizing the orthogonal distances to the given data points. In this paper we present another new algorithm which computes a parametric represented sphere in order to minimize the sum of the squares of the distances to the given points. For any choice of initial approximations our algorithm has the advantage of ensuring convergence to a local minimum. Numerical examples are given.
참고문헌 (5)
- "tting by linear and nonlinear least squares" (1993)
- "tting of circles and ellipses" (1994)
- "Solving problems in scienti？" (1993), Springer-Verlag
- "Orthogonal squared distance ?tting with parabolas." (1996)
- "Least-square ？tting with spheres", 96(1), pp.191~199 (1998)
관련 논문AI추천
Total Least Squares Fitting with QuadricsHelmuth Spath한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호An algorithm for circle fitting in $\mathbb{R}^3$Ik Sung Kim대한수학회 · 대한수학회논문집2019 · 제34권 제3호Geometric Fitting of Parametric Curves and Surfaces안성준한국정보처리학회 · JIPS(Journal of Information Processing Systems)2008 · 제4권 제4호Orthogonal distance fitting of ellipsesIk-Sung Kim대한수학회 · 대한수학회논문집2002 · 제17권 제1호On a characterization of round spheresLeyla Onat대한수학회 · 대한수학회보2002 · 제39권 제4호An algorithm for finding the distance between two ellipses김익성대한수학회 · 대한수학회논문집2006 · 제21권 제3호
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