Multilevel T-spline Approximation for Scattered Observations with Application to Land Remote Sensing. (May 2022)

• Record Type: Journal Article
• Authors: Kermarrec, Gaël; Morgenstern, Philipp
• Is Part Of: Computer aided design. Volume 146(2022)
• Publication Date: 2022-05
• Subjects: T-splines -- Multilevel B-splines approximation -- NURBS -- Surface approximation -- Adaptive local refinement -- GIS; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2022.103193
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: In this contribution, we introduce a multilevel approximation method with T-splines for fitting scattered point clouds iteratively, with an application to land remote sensing. This new procedure provides a local surface approximation by an explicit computation of the control points and is called a multilevel T-splines approximation (MTA). It is computationally efficient compared with the traditional global least-squares (LS) approach, which may fail when there is an unfavourable point density from a given refinement level. We validate our approach within a simulated framework and apply it to two real datasets: (i) a surface with holes scanned with a terrestrial laser scanner (ii) a patch on a sand-dune in the Netherlands. Both examples highlight the potential of the MTA for rapidly fitting large and noisy point clouds with variable point density and with similar results compared to the global LS approximation. Highlights: T-splines are best designed for adaptive surface fitting of point clouds Least-squares approximation reaches its limit for unfavourable data density The multilevel and least-squares approaches (MTA) can be combined The MTA is applied for remotely sensed point clouds for GIS applications.