A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data
For solving the problem of modeling and visualization of scattered data that should preserve some constraints, we use a modified Shepard type operator that is required to fulfill some special conditions, highlighting the symmetry with other methods. We illustrate the properties of the obtained opera...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/2/240 |
| _version_ | 1797476481919614976 |
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| author | Teodora Cătinaş |
| author_facet | Teodora Cătinaş |
| author_sort | Teodora Cătinaş |
| collection | DOAJ |
| description | For solving the problem of modeling and visualization of scattered data that should preserve some constraints, we use a modified Shepard type operator that is required to fulfill some special conditions, highlighting the symmetry with other methods. We illustrate the properties of the obtained operators by some numerical examples. |
| first_indexed | 2024-03-09T20:58:26Z |
| format | Article |
| id | doaj.art-8031bf6436784705a7269b8169330963 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T20:58:26Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-8031bf6436784705a7269b81693309632023-11-23T22:15:32ZengMDPI AGSymmetry2073-89942022-01-0114224010.3390/sym14020240A Constrained Shepard Type Operator for Modeling and Visualization of Scattered DataTeodora Cătinaş0Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaFor solving the problem of modeling and visualization of scattered data that should preserve some constraints, we use a modified Shepard type operator that is required to fulfill some special conditions, highlighting the symmetry with other methods. We illustrate the properties of the obtained operators by some numerical examples.https://www.mdpi.com/2073-8994/14/2/240shepard operatorscattered dataconstrained interpolation |
| spellingShingle | Teodora Cătinaş A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data Symmetry shepard operator scattered data constrained interpolation |
| title | A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data |
| title_full | A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data |
| title_fullStr | A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data |
| title_full_unstemmed | A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data |
| title_short | A Constrained Shepard Type Operator for Modeling and Visualization of Scattered Data |
| title_sort | constrained shepard type operator for modeling and visualization of scattered data |
| topic | shepard operator scattered data constrained interpolation |
| url | https://www.mdpi.com/2073-8994/14/2/240 |
| work_keys_str_mv | AT teodoracatinas aconstrainedshepardtypeoperatorformodelingandvisualizationofscattereddata AT teodoracatinas constrainedshepardtypeoperatorformodelingandvisualizationofscattereddata |