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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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ISSN : 1226-0657

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Vol.11 No.2

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TOTAL LEAST SQUARES FITTING WITH QUADRICS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.2, pp.103-115
Spath, Helmuth (Department of Mathematics, University of Oldenburg)
Spath, Helmuth. (2004). TOTAL LEAST SQUARES FITTING WITH QUADRICS. 한국수학교육학회지시리즈B:순수및응용수학, 11(2), 103-115.

Abstract

A computational algorithm is developed for fitting given data in the plane or in 3-space by implicitly defined quadrics. Implicity implies that the type of the quadric is part of the model and need not be known in advance. Starting with some estimate for the coefficients of the quadric the method will alternatively determine the shortest distances from the given points onto the quadric and adapt the coefficients such as to reduce the sum of those squared distances. Numerical examples are given.

keywords
total least squares, quadrics

한국수학교육학회지시리즈B:순수및응용수학

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