4 papers · 1 filter
A local Hermite interpolation scheme with PH quintic splines for 3D data streams
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini
The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic spline biarcs is proposed. To facilitate real-time computations of PH quintic splines, an eff…
THB-spline approximations for turbine blade design with local B-spline approximations
Cesare Bracco, Carlotta Giannelli, David Grossmann +3
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme…
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines
Cesare Bracco, Durkbin Cho, Carlotta Giannelli +1
We present the construction of additive multilevel preconditioners, also known as BPX preconditioners, for the solution of the linear system arising in isogeometric adaptive scheme…
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…