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Is the Best Fitting Curve Always Unique?
Author(s) -
N. Chernov,
Q. Huang,
Hui Ma
Publication year - 2012
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/753981
Subject(s) - mathematics , ellipse , uniqueness , simple (philosophy) , curve fitting , data point , task (project management) , algorithm , mathematical analysis , statistics , geometry , philosophy , epistemology , management , economics
Fitting straight lines and simple curved objects (circles, ellipses, etc.) to observed data points is a basic task in computer vision and modern statistics (errors-in-variables regression). We have investigated the problem of existence of the best fit in our previous paper (see Chernov et al. (2012)). Here we deal with the issue of uniqueness of the best fit

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