Is the Best Fitting Curve Always Unique?
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)...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/753981 |
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| _version_ | 1832560553975873536 |
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| author | N. Chernov Q. Huang H. Ma |
| author_facet | N. Chernov Q. Huang H. Ma |
| author_sort | N. Chernov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c8dc8925c56d445c8cc564625c61690f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c8dc8925c56d445c8cc564625c61690f2025-02-03T01:27:18ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/753981753981Is the Best Fitting Curve Always Unique?N. Chernov0Q. Huang1H. Ma2Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USADepartment of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USADepartment of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USAFitting 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.http://dx.doi.org/10.1155/2013/753981 |
| spellingShingle | N. Chernov Q. Huang H. Ma Is the Best Fitting Curve Always Unique? Journal of Mathematics |
| title | Is the Best Fitting Curve Always Unique? |
| title_full | Is the Best Fitting Curve Always Unique? |
| title_fullStr | Is the Best Fitting Curve Always Unique? |
| title_full_unstemmed | Is the Best Fitting Curve Always Unique? |
| title_short | Is the Best Fitting Curve Always Unique? |
| title_sort | is the best fitting curve always unique |
| url | http://dx.doi.org/10.1155/2013/753981 |
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