Approximation of the soil particle-size distribution curve using a NURBS curve
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41210%2F25%3A101749" target="_blank" >RIV/60460709:41210/25:101749 - isvavai.cz</a>
Alternative codes found
RIV/60460709:41330/25:101749
Result on the web
<a href="https://swr.agriculturejournals.cz/artkey/swr-202501-0002_approximation-of-the-soil-particle-size-distribution-curve-using-a-nurbs-curve.php" target="_blank" >https://swr.agriculturejournals.cz/artkey/swr-202501-0002_approximation-of-the-soil-particle-size-distribution-curve-using-a-nurbs-curve.php</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.17221/139/2024-SWR" target="_blank" >10.17221/139/2024-SWR</a>
Alternative languages
Result language
angličtina
Original language name
Approximation of the soil particle-size distribution curve using a NURBS curve
Original language description
Soil particle-size distribution or soil texture presents one of the most important physical properties. There are various systems of the classification systems for soil particle-size fractions with different boundaries. Our effort was concentrated on the mathematical approach to evaluate the existing data and convert it to the form of a reconstructed cumulative particle-size curve which will allow reading concentration of any desired particle size. Non-Uniform Rational B-Splines (NURBS) curves therefore represent a generalization of B-splines and Bézier curves by extending the definition by an element of rationality, which is represented by the weights of the control points, and a nodal vector of parametrization, which represents the element of uniformity. The NURBS curve was used for smooth (depending on the degree of the curve used) and as tight as possible approximation of the arranged control points, the connecting lines of which forms a convex envelope for its individual parts. The NURBS approximation curve is therefore determined by the ordered control points and their connecting lines, the weights of these points, the degree of the curve and the nodal vector of parametrization. However, the construction of the approximation curve is primarily dependent on a limited number of points of the experimentally determined particle-size distribution curves, and for curves with significant breaks in the course, one must consider either a lower accuracy of the approximation or the necessity of “improving” the approximation using the weights of individual points, inserting additional points or working with a nodal vector of parametrization. For basic approximation, the PUGIS system (Czech soil information system) offers automatic approximation using all variants mentioned in the article as well as the possibility of individual changes in the weights of control points, in their number and position, and in the nodal vector of parametrization.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
40104 - Soil science
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soil and Water Research
ISSN
1801-5395
e-ISSN
1805-9384
Volume of the periodical
20
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
16
Pages from-to
16-31
UT code for WoS article
001389546100001
EID of the result in the Scopus database
2-s2.0-85215437578