Scattered Data Approximation by LR B-Spline Surfaces: A Study on Refinement Strategies for Efficient Approximation

Abstract Locally refined B-spline (LRB) surfaces provide a representation that is well suited to scattered data approximation. When set has local details in some areas and largely smooth elsewhere, LR B-splines allow the spatial distribution of degrees freedom follow variations set. An LRB surface approximating where accuracy does not meet required tolerance. In this paper we address, systematic study, different refinement strategies polynomial for We study their influence on resulting volume when applied geospatial sets with structural behaviour. The relative performance reasonably coherent concludes recommendations. overall evaluation indicates bi-quadratic are preferable use cases tested, denote as “full span" have best performance.