Curve reconstruction from a set of measured points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F21%3A00349630" target="_blank" >RIV/68407700:21220/21:00349630 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.21136/panm.2020.05" target="_blank" >https://doi.org/10.21136/panm.2020.05</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/panm.2020.05" target="_blank" >10.21136/panm.2020.05</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Curve reconstruction from a set of measured points

Popis výsledku v původním jazyce

A method of cubic spline curve fitting to a set of points passing at the prescribed distance from the input points obtained by measurement on acoordinate measuring machine is described. When reconstructing the shape of the measured object from the points obtained by real measurements, it is always necessary to consider the measurement uncertainty (tenths to tens of micrometers). This uncertainty is not zero, therefore interpolation methods where the resulting curve passes through the given points do not lead to acceptable results in practice. Also, conventional B-spline approximation methods cannot be used because, for real distances between the measured points (tenths to units of milimeters), the distance of the input data from the resulting approximation curve is much greater than the measurement uncertainty considered. The proposed reconstruction method allows to control the maximum distance of the resulting curve from the input data and thus to respect the uncertainty with which the input data was obtained.

Název v anglickém jazyce

Curve reconstruction from a set of measured points

Popis výsledku anglicky

A method of cubic spline curve fitting to a set of points passing at the prescribed distance from the input points obtained by measurement on acoordinate measuring machine is described. When reconstructing the shape of the measured object from the points obtained by real measurements, it is always necessary to consider the measurement uncertainty (tenths to tens of micrometers). This uncertainty is not zero, therefore interpolation methods where the resulting curve passes through the given points do not lead to acceptable results in practice. Also, conventional B-spline approximation methods cannot be used because, for real distances between the measured points (tenths to units of milimeters), the distance of the input data from the resulting approximation curve is much greater than the measurement uncertainty considered. The proposed reconstruction method allows to control the maximum distance of the resulting curve from the input data and thus to respect the uncertainty with which the input data was obtained.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

PANM 20 Programs and Algorithms of Numerical Mathematics

ISBN

978-80-85823-71-4

ISSN

—

e-ISSN

—

Počet stran výsledku

9

Strana od-do

50-58

Název nakladatele

Matematický ústav AV ČR, v. v. i.

Místo vydání

Praha

Místo konání akce

Hejnice

Datum konání akce

21. 6. 2020

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000672803500005