TY - JOUR
TI - IGS: an IsoGeometric approach for Smoothing on surfaces
UR - http://ac.els-cdn.com/S0045782516000025/1-s2.0-S0045782516000025-main.pdf?_tid=bdeb7830-df28-11e5-9792-00000aacb35e&acdnat=1456780358_0aab4b116947695e0c4adf38499ccf41
KW - Functional data analysis
Isogeometric analysis
Smoothing on surfaces
LA - en
AU - Wilhelm, M.
AU - Dedè, L.
AU - Sangalli, L. M.
AU - Wilhelm, P.
PY - 2016
DA - 14.1
AB - We propose an Isogeometric approach for smoothing on surfaces, namely estimating a function starting from noisy and discrete measurements. More precisely, we aim at estimating functions lying on a surface represented by NURBS, which are geometrical representations commonly used in industrial applications. The estimation is based on the minimization of a penalized least-square functional. The latter is equivalent to solve a 4th-order Partial Differential Equation (PDE). In this context, we use Isogeometric Analysis (IGA) for the numerical approximation of such surface PDE, leading to an IsoGeometric Smoothing (IGS) method for fitting data spatially distributed on a surface. Indeed, IGA facilitates encapsulating the exact geometrical representation of the surface in the analysis and also allows the use of at least globally C^1-Continuous NURBS basis functions for which the 4th-order PDE can be solved using the standard Galerkin method. We show the performance of the proposed IGS method by means of numerical simulations and we apply it to the estimation of the pressure coefficient, and associated aerodynamic force on a winglet of the SOAR space shuttle.
T2 - Computer methods in applied mechanics and engineering
VL - 302
SP - 70
EP - 89
ER -