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RooTri: A Simple and Robust Function to Approximate the Intersection Points of a 3D Scalar Field with an Arbitrarily Oriented Plane in MATLAB

  • With the function RooTri(), we present a simple and robust calculation method for the approximation of the intersection points of a scalar field given as an unstructured point cloud with a plane oriented arbitrarily in space. The point cloud is approximated to a surface consisting of triangles whose edges are used for computing the intersection points. The function contourc() of Matlab is taken asWith the function RooTri(), we present a simple and robust calculation method for the approximation of the intersection points of a scalar field given as an unstructured point cloud with a plane oriented arbitrarily in space. The point cloud is approximated to a surface consisting of triangles whose edges are used for computing the intersection points. The function contourc() of Matlab is taken as a reference. Our experiments show that the function contourc() produces outliers that deviate significantly from the defined nominal value, while the quality of the results produced by the function RooTri() increases with finer resolution of the examined grid.show moreshow less

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Metadaten
Document Type:Article (reviewed)
Zitierlink: https://opus.hs-offenburg.de/8153
Bibliografische Angaben
Title (English):RooTri: A Simple and Robust Function to Approximate the Intersection Points of a 3D Scalar Field with an Arbitrarily Oriented Plane in MATLAB
Author:Jan Philipp DegelStaff MemberORCiDGND, Jan OellerichORCiD, Keno Jann BüscherORCiD
Year of Publication:2023
Publishing Institution:Hochschule Offenburg
Contributing Corporation:Karlsruhe Institute of Technology (KIT)
Place of publication:Basel
Publisher:MDPI
Page Number:23
First Page:1
Last Page:23
Parent Title (English):Algorithms
Volume:16
Issue:9
ISSN:1999-4893
DOI:https://doi.org/10.3390/a16090409
URN:https://urn:nbn:de:bsz:ofb1-opus4-81535
Language:English
Inhaltliche Informationen
Institutes:Forschung / INES - Institut für nachhaltige Energiesysteme
Fakultät Elektrotechnik, Medizintechnik und Informatik (EMI) (ab 04/2019)
Institutes:Bibliografie
GND Keyword:MATLAB; Triangulation
Tag:isocontour lines; scalar fields; triangulation; zeros
Formale Angaben
Relevance:Wiss. Zeitschriftenartikel reviewed: Listung in Master Journal List
Open Access: Open Access 
 Gold 
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International