Curve reconstruction from a set of measured points

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Curve reconstruction from a set of measured points
Original language description
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.
Czech name
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Czech description
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Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
PANM 20 Programs and Algorithms of Numerical Mathematics
ISBN
978-80-85823-71-4
ISSN
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e-ISSN
—
Number of pages
9
Pages from-to
50-58
Publisher name
Matematický ústav AV ČR, v. v. i.
Place of publication
Praha
Event location
Hejnice
Event date
Jun 21, 2020
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000672803500005

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