ISSN:
1572-9265
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract Let a family of curves or surfaces be given in implicit form via the model equationf (x,Β)=0, wherex ε ℝ d andΒ ε ℝ m is a parameter vector. We present a trust region algorithm for solving the problem:find a parameter vector Β * such that the contour f(x,Β *)=0is a best fit to given data {zi} i n =1 ⊂ ℝ d in a least squares sense. Specifically, we seekΒ * and {x i * } i n =1 such thatf (x i * ,Β *) = 0,i=1,...,n, and ∑ i=1 n ‖z i −x i * ‖ 2 2 is minimal. The termorthogonal distance regression is used to describe such constrained nonlinear least squares problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02108668
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