| Title |
Least squares progressive iterative approximation for spline curve (re-)construction using adaptive refinement |
| Authors |
Palianskas, Šarūnas |
| Full Text |
|
| Is Part of |
CEUR Workshop proceedings: IVUS 2025: proceedings of the 30th international conference on information society and university studies (IVUS 2025), Kaunas, Lithuania, 15 May 2025 / edited by: I. Veitaitė, A. Lopata, T. Krilavičius, M. Woźniak.. Aachen : CEUR-WS. 2026, vol. 4213, p. 152-161.. ISSN 1613-0073 |
| Keywords [eng] |
Geometric iterative approximation ; Least squares progressive iterative approximation ; THB-splines ; Curve fitting |
| Abstract [eng] |
Least squares progressive iterative approximation (LSPIA) method allows to approximate data points with curves and surfaces by employing splines that are fitted to the data. The accuracy of approximations is determined by the number of control points used in the splines, thus an appropriate selection of control points is needed to acquire the best approximation. The use of THB-splines as the underlying spline type inside the LSPIA method allows the resulting splines to better approximate data points with highly irregular sections by employing local resolution improvements. This decreases the total number of control points used globally, removes visual artefacts resulting from excessive control points and reduces the amount of resources used during calculations. |
| Published |
Aachen : CEUR-WS |
| Type |
Conference paper |
| Language |
English |
| Publication date |
2026 |
| CC license |
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