Evaluating Distance Approximation for Implicit Curve Fitting

The curve or surface fitting problem to the given data set is treated as the one of comparison of the distance function with its suggested approximation. The comparison is performed in terms of statistical characteristics for the two sets of random variables. The approach is exemplified via the sets...

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Main Authors: Marina Goncharova, Alexei Uteshev, Arthur Lazdin
Format: Article
Language:English
Published: FRUCT 2020-04-01
Series:Proceedings of the XXth Conference of Open Innovations Association FRUCT
Subjects:
Online Access:https://www.fruct.org/publications/fruct26/files/Gon.pdf
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author Marina Goncharova
Alexei Uteshev
Arthur Lazdin
author_facet Marina Goncharova
Alexei Uteshev
Arthur Lazdin
author_sort Marina Goncharova
collection DOAJ
description The curve or surface fitting problem to the given data set is treated as the one of comparison of the distance function with its suggested approximation. The comparison is performed in terms of statistical characteristics for the two sets of random variables. The approach is exemplified via the sets generated by single ellipse or a pair of ellipses.
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spelling doaj.art-cca3bc0a686e48d1b801aee59227a3702022-12-22T01:08:44ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372020-04-0126110210710.23919/FRUCT48808.2020.9087461Evaluating Distance Approximation for Implicit Curve FittingMarina Goncharova0Alexei Uteshev1Arthur Lazdin2Saint Petersburg State University, RussiaSaint Petersburg State University, RussiaITMO University, RussiaThe curve or surface fitting problem to the given data set is treated as the one of comparison of the distance function with its suggested approximation. The comparison is performed in terms of statistical characteristics for the two sets of random variables. The approach is exemplified via the sets generated by single ellipse or a pair of ellipses.https://www.fruct.org/publications/fruct26/files/Gon.pdfdistance approximationcurve fittingellipsemultiple ellipse fitting
spellingShingle Marina Goncharova
Alexei Uteshev
Arthur Lazdin
Evaluating Distance Approximation for Implicit Curve Fitting
Proceedings of the XXth Conference of Open Innovations Association FRUCT
distance approximation
curve fitting
ellipse
multiple ellipse fitting
title Evaluating Distance Approximation for Implicit Curve Fitting
title_full Evaluating Distance Approximation for Implicit Curve Fitting
title_fullStr Evaluating Distance Approximation for Implicit Curve Fitting
title_full_unstemmed Evaluating Distance Approximation for Implicit Curve Fitting
title_short Evaluating Distance Approximation for Implicit Curve Fitting
title_sort evaluating distance approximation for implicit curve fitting
topic distance approximation
curve fitting
ellipse
multiple ellipse fitting
url https://www.fruct.org/publications/fruct26/files/Gon.pdf
work_keys_str_mv AT marinagoncharova evaluatingdistanceapproximationforimplicitcurvefitting
AT alexeiuteshev evaluatingdistanceapproximationforimplicitcurvefitting
AT arthurlazdin evaluatingdistanceapproximationforimplicitcurvefitting