English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Digital terrain models of geological information occasionally require smoothdata in domains with complex irregular boundaries due to its data distribution.Traditional thin plate splines produce visually pleasing surfaces, but they aretoo computationally expensive for data of large sizes. Finite element thinplate spline smoother (TPSFEM) is an alternative that uses first-order finiteelements to efficiently interpolate and smooth large data sets. Previousstudies focused on regular square domains, which are insufficient forreal-world applications. This article builds on prior work and investigates theperformance of the TPSFEM and adaptive mesh refinement for real-world data setsin irregular domains. The Dirichlet boundaries are approximated using the thinplate spline and data-dependent weights are applied to prevent over-refinementnear boundaries. Three geological surveys (aerial, terrestrial and bathymetric)with distinct data distribution patterns were tested in the numericalexperiments. We found that irregular domains with adaptive mesh refinementsignificantly improve the efficiency of the interpolation. While theinconsistency in approximated boundary conditions, we may prevent it usingadditional constraints like weights. This finding is also applicable to otherfinite element-based smoothers.

Smooth digital terrain modelling in irregular domain using adaptive finite element thin plate spline smoother