31 citations · 193 across the 17 of their papers we have counts for
18 papers
Robust path following for autonomous vehicles with spatial PH quintic splines
Vincenzo Calabrò, Carlotta Giannelli, Lorenzo Sacco +1
The distinctive feature of a polynomial parametric speed let polynomial Pythagorean-hodograph (PH) curves be attractive for the design of accurate and efficient application algorit…
A positive meshless finite difference scheme for scalar conservation laws with adaptive artificial viscosity driven by fault detection
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a meshless finite difference method for multivariate scalar conservation laws that generates positive schemes satisfying a local maximum principle on irregular nodes and…
Piecewise rational rotation-minimizing motions via data stream interpolation
Carlotta Giannelli, Lorenzo Sacco, Alessandra Sestini +1
When a moving frame defined along a space curve is required to keep an axis aligned with the tangent direction of motion, the use of rotation-minimizing frames (RMF) avoids unneces…
Local spline refinement driven by fault jump estimates for scattered data approximation
Cesare Bracco, Carlotta Giannelli, Francesco Patrizi +1
We present new fault jump estimates to guide local refinement in surface approximation schemes with adaptive spline constructions. The proposed approach is based on the idea that,…
IgA-BEM for 3D Helmholtz problems on multi-patch domains using B-spline tailored numerical integration
Antonella Falini, Tadej Kanduc, Maria Lucia Sampoli +1
An Isogeometric Boundary Element Method (IgA-BEM) is considered for the numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting a smooth conformal mu…
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…
Isogemetric Analysis and Symmetric Galerkin BEM: a 2D numerical study
A. Aimi, M. Diligenti, M. L. Sampoli +1
Isogeometric approach applied to Boundary Element Methods is an emerging research area. In this context, the aim of the present contribution is that of investigating, from a numeri…
Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals
A. Falini, T. Kanduč, M. L. Sampoli +1
In this paper we present a new class of cubature rules with the aim of accurately integrating weakly singular double integrals. In particular we focus on those integrals coming fro…
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…
An application of numerical differentiation formulas to discontinuity curve detection from irregularly sampled data
Cesare Bracco, Oleg Davydov, Carlotta Giannelli +1
We present a method to detect discontinuity curves, usually called faults, from a set of scattered data. The scheme first extracts from the data set a subset of points close to the…
An adaptive IGA-BEM with hierarchical B-splines based on quasi-interpolation quadrature schemes
Antonella Falini, Carlotta Giannelli, Tadej Kanduc +2
The isogeometric formulation of Boundary Element Method (BEM) is investigated within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals appearing in…
C2 continuous time dependent feedrate scheduling with configurable kinematic constraints
Carlotta Giannelli, Duccio Mugnaini, Alessandra Sestini
We present a configurable trajectory planning strategy on planar paths for offline definition of time-dependent C2 piecewise quintic feedrates. The more conservative formulation en…
Adaptive scattered data fitting by extension of local approximations to hierarchical splines
Cesare Bracco, Carlotta Giannelli, Alessandra Sestini
We introduce an adaptive scattered data fitting scheme as extension of local least squares approximations to hierarchical spline spaces. To efficiently deal with non-trivial data c…
Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM
A. Aimi, F. Calabrò, M. Diligenti +3
This paper deals with the discrete counterpart of 2D elliptic model problems rewritten in terms of Boundary Integral Equations. The study is done within the framework of Isogeometr…
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli +2
A rotation-minimizing frame on a space curve defines an orthonormal basis for in which …
Bivariate hierarchical Hermite spline quasi--interpolation
Cesare Bracco, Carlotta Giannelli, Francesca Mazzia +1
Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficien…
Solution of a quadratic quaternion equation with mixed coefficients
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli +2
A comprehensive analysis of the morphology of the solution space for a special type of quadratic quaternion equation is presented. This equation, which arises in a surface construc…
Iterative solution of piecewise linear systems for the numerical solution of obstacle problems
Luigi Brugnano, Alessandra Sestini
We investigate the use of piecewise linear systems, whose coefficient matrix is a piecewise constant function of the solution itself. Such systems arise, for example, from the nume…