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Editorial Activities
SIAM Conference on Geometric Design 2021 ,
Special Issue of Computer Aided Geometric Design (2021-2022).
Guest Editors: Carlotta Giannelli, Jiri Kosinka, Daniele Panozzo
(Editorial: CAGD 91 , Article number 102047, September 2021).
14th International Conference on Geometric Modeling and Processing (GMP2020)
Special Issue of Computer Aided Geometric Design , January 2021.
Guest Editors: Carlotta Giannelli, Lin Lu, Justin Solomon
(Editorial: CAGD 84 , Article number 101955, January 2021).
Advanced Methods for Geometric Modeling and Numerical Simulation
Springer INdAM Series , Volume 35, 2019.
Editors: Carlotta Giannelli and Hendrik Speleers
Recent trends in theoretical and applied geometry
Special Issue of Computer Aided Geometric Design , 31 , issue 7-8, pages 329-612 (October 2014)
Guest Editors: Carlotta Giannelli, Kai Hormann, Emil Žagar
Research articles (dblp, MathSciNet)
C. Bracco, C. Giannelli, M. Kapl, R. Vázquez (2022)
Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains
arXiv:2204.10000
C. Giannelli, T. Kanduč, M. Martinelli, G. Sangalli, M. Tani (2022)
Weighted quadrature for hierarchical B-splines
Computer Methods in Applied Mechanics and Engineering 400 , 115465 (arXiv:2109.12632 ).
C. Giannelli, L. Sacco, A. Sestini (2022)
Interpolation of 3D data streams with C2 PH quintic splines
Advances in Computational Mathematics 48 , Article number: 61 (arXiv:2108.12948 ).
A. Buffa, G. Gantner, C. Giannelli, D. Praetorius, R. Vázquez (2022)
Mathematical foundations of adaptive isogeometric analysis
Arch. Comput. Methods. Engrg. 29 , pages 4479–4555 (arXiv:2107.02023 ).
A. Falini, C. Giannelli, T. Kanduč, M. L. Sampoli, A. Sestini (2022)
A collocation IGA-BEM for 3D potential problems on unbounded domains
In: C. Manni, H. Speleers (eds.), Geometric Challenges in Isogeometric Analysis , Springer INdAM Series, Vol. 49, arXiv:2204.02607
C. Bracco, C. Giannelli, D. Großmann, S. Imperatore, D. Mokriš, A. Sestini (2022)
THB-spline approximations for turbine blade design with local B-spline approximations
In: Barrera, D., Remogna, S., Sbibih, D. (eds), Mathematical and Computational Methods for Modelling , Approximation and Simulation. SEMA SIMAI Springer Series, Vol. 29, 63-82, arXiv:2003.08706
A. Buffa, C. Giannelli (2021)
Remarks on Poincaré and interpolation estimates for truncated hierarchical B-splines
Mathematical Models and Methods in Applied Sciences 31 , 525-535.
C. Bracco, D. Cho, C. Giannelli, R. Vázquez (2021)
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines
Computer Methods in Applied Mechanics and Engineering 379 , Article number 113742, arXiv:1912.12073
D. Medeiros Selegato, C. Bracco, C.~Giannelli, G. Parigi, C. Luchinat, L. Sgheri, E. Ravera (2021)
Comparison of different reweighting approaches for the calculation of conformational variability of macromolecules from molecular simulations
ChemPhysChem 22 , 127-138.
C. Bracco, C. Giannelli, M. Kapl, R. Vázquez (2020)
Isogeometric analysis with C 1 hierarchical functions on planar two-patch geometries
Computers & Mathematics with Applications 80 , 2538–2562, arXiv:1901.09689
C. Bracco, O. Davydov, C. Giannelli, A. Sestini (2019)
Fault and gradient fault detection and reconstruction from scattered data
Computer Aided Geometric Design 76, Article number 101786
R. T. Farouki, C. Giannelli, and A. Sestini (2019)
New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
In: C. Giannelli and H. Speleers (eds.), Advanced Methods for Geometric Modeling and Numerical Simulation , Springer INdAM Series, Vol. 35, 127-177.
M. Carraturo, C. Giannelli, A. Reali, R. Vázquez (2019)
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
Computer Methods in Applied Mechanics and Engineering 348 , 660-679, arXiv:1811.00358
R. T. Farouki, C. Giannelli, and A. Sestini (2019)
Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames
Journal of Computational and Applied Mathematics 352 , 240-254.
A. Falini, C. Giannelli, T. Kanduč, M. L. Sampoli, A. Sestini (2019)
An adaptive IgA-BEM with hierarchical B-splines based on quasi-interpolation quadrature schemes
International Journal for Numerical Methods in Engineering , to appear.
C. Giannelli, T. Kanduč, F. Pelosi, H. Speleers (2019)
An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines
Journal of Computational and Applied Mathematics , to appear.
C. Bracco, A. Buffa, C. Giannelli, R. Vázquez (2019)
Adaptive isogeometric methods with hierarchical splines: an overview
Discrete and Continuous Dynamical Systems , 39 , 241-261.
C. Bracco, O. Davydov, C. Giannelli, A. Sestini (2018)
An application of numerical differentiation formulas to discontinuity curve detection from irregularly sampled data
Rendiconti del Seminario Matematico dell’Università e del Politecnico di Torino 76 , 69-76, arXiv:1812.07399
C. Bracco, C. Giannelli, R. Vázquez (2018)
Refinement algorithms for adaptive isogeometric methods with hierarchical splines
Axioms 7(3), 43.
C. Giannelli, D. Mugnaini, A. Sestini (2018)
C² continuous time-dependent feedrate scheduling with configurable kinematic constraints
Computer Aided Geometric Design , 63 , 78-95.
C. Bracco, C. Giannelli, D. Großmann, A. Sestini (2018)
Adaptive fitting with THB-splines: error analysis and industrial applications
Computer Aided Geometric Design , 62 , 239-252 .
A. Buffa, C. Giannelli (2017)
Adaptive isogeometric methods with hierarchical splines: optimality and convergence rates
Mathematical Models and Methods in Applied Sciences , 27 , 2781-2802.
C. Bracco, C. Giannelli, A. Sestini (2017)
Coefficient–based spline data reduction by hierarchical spaces
(M. Floater et al., eds.) Lecture Notes in Computer Science , Vol. 10521, pp. 23-41.
C. Bracco, C. Giannelli, A. Sestini (2017)
Adaptive scattered data fitting by extension of local approximations to hierarchical splines
Computer Aided Geometric Design , 52-53 , 90-105.
R. T. Farouki, C. Giannelli, D. Mugnaini, A. Sestini (2017)
Path planning with Pythagorean-hodograph curves for unmanned or autonomous vehicles
Journal of Aerospace Engineering , in press.
T. Kanduc, C. Giannelli, F. Pelosi, H. Speleers (2017)
Adaptive isogeometric analysis with hierarchical box splines
Computer Methods in Applied Mechanics and Engineering , 316 , 817-838.
R. T. Farouki, G. Gentili, C. Giannelli, A. Sestini, C. Stoppato (2017)
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames
Advances in Computational Mathematics , 43 , 1-24.
M. Donatelli, C. Giannelli, D. Mugnaini, A. Sestini (2017)
Curvature continuous path planning and path finding based on PH splines with tension
Computer-Aided Design , 88 , 14-30.
F. Pelosi, C. Giannelli, C. Manni, M. L. Sampoli, H. Speleers (2017)
Splines over regular triangulations in numerical simulations
Computer Aided Design , 82 , 100-111.
A. Buffa, C. Giannelli, P. Morgenstern, D. Peterseim (2016)
Complexity of hierarchical refinements for strictly admissible meshes
Computer Aided Geometric Design , 47 , 83-92.
A. Buffa, E. M. Garau, C. Giannelli, G. Sangalli (2016)
On quasi-interpolation operators in spline spaces
Lecture Notes in Computational Science and Engineering , Vol. 114, pp. 73-91.
C. Giannelli, D. Mugnaini, A. Sestini (2016)
Path planning with obstacle avoidance by G^1 PH quintic splines
Computer-Aided Design , 75-76 , 47-60
C. Bracco, C. Giannelli, F. Mazzia, A. Sestini (2016)
Hierarchical Hermite spline quasi-interpolation
BIT Numerical Mathematics , 56 , 1165-1188
C. Giannelli, B. Jüttler, S. K. Kleiss, A. Mantzaflaris, B. Simeon, J. Špeh (2016)
THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
Computer Methods in Applied Mechanics and Engineering , 299 , 337-365
A. Buffa, C. Giannelli (2016)
Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
Mathematical Models and Methods in Applied Sciences , 26 , 1-25
R. T. Farouki, G. Gentili, C. Giannelli, A. Sestini, C. Stoppato (2016)
Solution of a quadratic quaternion equation with mixed coefficients
Journal of Symbolic Computation , 74 , 140-151.
R. T. Farouki, C. Giannelli, A. Sestini (2016)
Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form
Advances in Computational Mathematics , 42 , 199-225
R. T. Farouki, C. Giannelli, and A. Sestini (2015)
Identification and “reverse engineering” of Pythagorean-hodograph curves
Computer Aided Geometric Design , 34 , 21-36.
G. Kiss, C. Giannelli, U. Zore, B. Jüttler, D. Großmann, and J. Barner (2014)
Adaptive CAD model (re-)construction with THB-splines
Graphical Models , 76 , 273-288.
D. Mokriš, B. Jüttler, C.Giannelli (2014)
On the completeness of hierarchical tensor-product B-splines
Journal of Computational and Applied Mathematics , 271 , 53-70.
R. T. Farouki, C. Giannelli, M. L. Sampoli, and A. Sestini (2014)
Rotation-minimizing osculating frames
Computer Aided Geometric Design , 31 , 27-42.
C. Giannelli, B. Jüttler and H. Speleers (2014),
Strongly stable bases for adaptively refined multilevel spline spaces,
Advances in Computational Mathematics , 40 , 459-490.
G. Kiss, C. Giannelli, and B. Jüttler (2014)
Algorithms and data structures for truncated hierarchical B-splines
(M. Floater et al., eds.) Lecture Notes in Computer Science , Vol. 8177, pp. 304–323.
C. Giannelli, B. Jüttler (2013)
Local and adaptive refinement with hierarchical B-splines
Bollettino della Unione Matematica Italiana , 6 , 735-740.
C. Giannelli and B. Jüttler (2013)
Bases and dimensions of bivariate hierarchical tensor-product splines
Journal of Computational and Applied Mathematics , 239 , 162-178.
R. T. Farouki, C. Giannelli, and A. Sestini (2013)
An interpolation scheme for designing rational rotation-minimizing camera motion
Advances in Computational Mathematics , 38 , 63–82.
C. Giannelli, B. Jüttler and H. Speleers (2012)
THB-splines: the truncated basis for hierarchical splines
Computer Aided Geometric Design , 29 , 485–498.
R. T. Farouki, C. Giannelli, C. Manni, and A. Sestini (2012)
Design of rational rotation–minimizing rigid body motions by Hermite interpolation
Mathematics of Computation , 81 , 879-903.
A.-V. Vuong, C. Giannelli, B. Jüttler, and B. Simeon (2011)
A hierarchical approach to adaptive local refinement in isogeometric analysis
Computer Methods in Applied Mechanics and Engineering , 200 , 3554-3567.
C. Giannelli and L. Biard (2011)
On the interpolation of concentric curvature elements
Computer Aided Design 43 , 586–597.
R. T. Farouki, C. Giannelli, and A. Sestini (2010)
Geometric design using space curves with rational rotation–minimizing frames
(M. Daehlen et al., eds.) Lecture Notes in Computer Science , Vol. 5862, pp. 194-208.
R. T. Farouki, C. Giannelli, C. Manni, and A. Sestini (2009)
Quintic space curves with rational rotation–minimizing frames
Computer Aided Geometric Design 26 , 580–592.
R. T. Farouki and C. Giannelli (2009)
Spatial camera orientation control by rotation–minimizing directed frames
Computer Animation and Virtual Worlds 20 , 457–472.
R. T. Farouki, C. Giannelli, and A. Sestini (2009)
Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves
Journal of Symbolic Computation 44 , 307–332.
R. T. Farouki, C. Giannelli, and A. Sestini (2009)
Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations
Journal of Symbolic Computation 44 , 161–179.
R. T. Farouki, C. Giannelli, C. Manni, and A. Sestini (2008)
Identification of spatial PH quintic Hermite interpolants with near–optimal shape measures
Computer Aided Geometric Design 25 , 274–297.