International Journals
- C.V. Beccari, H. Prautzsch, Quadrilateral Orbifold Splines, Springer INdAM volume ”Geometric Challenges in Isogeometric Analysis”, C. Manni and H- Speleers eds., to appear.
- C.V. Beccari, G. Casciola, L. Romani, A practical method for computing with piecewise Chebyshevian splines, Journal of Computational and Applied Mathematics, in press. https://doi.org/10.1016/j.cam.2021.114051
- C.V. Beccari, G. Casciola, Stable numerical evaluation of multi-degree B-splines, Journal of Computational and Applied Mathematics 400 (2022), 113743.
- G. Albrecht, C.V. Beccari, L. Romani, G 2/C 1 Hermite interpolation by planar PH B-spline curves with shape parameter, Applied Mathematics Letters 121 (2021), 107452.
- C.V. Beccari, G. Casciola, Matrix representations for multi-degree B-splines, Journal of Computational and Applied Mathematics 381 (2021), 113007.
- C.V. Beccari, G. Casciola, M.-L. Mazure, Dimension elevation is not always corner-cutting, Applied Mathematics Letters 109 (2020), 106529.
- G. Albrecht, C.V. Beccari, L. Romani, Spatial Pythagorean-Hodograph B–Spline curves and 3D point data interpolation, Computer Aided Geometric Design 80 (2020), 101868.
- R. Ait-Haddou, C.V. Beccari, M.-L. Mazure, Interpolation of G1 Hermite data by C1 cubic-like sparse Pythagorean hodograph splines, Computer Aided Geometric Design 79 (2020), 101838.
- C.V. Beccari, G. Casciola, M.-L. Mazure, Critical length: An alternative approach, Journal of Computational and Applied Mathematics 370 (2020), 112603.
- C.V. Beccari, G. Casciola, A Cox-de Boor-type recurrence relation for C 1 multi-degree splines, Computer Aided Geometric Design, 75 (2019), 101784.
- C.V. Beccari, G. Casciola, M.-L. Mazure, Design or not design: a numerical characterization for piecewise Chebyshevian splines, Numerical Algorithms, 81 (2019), 1-31.
- C.V. Beccari, G. Casciola, S. Morigi, On multi-degree splines , Computer Aided Geometric Design, 58 (2017), 8-23.
- G. Albrecht, C. V. Beccari, J.-C. Canonne, L. Romani, Pythagorean-Hodograph B-Spline Curves , Computer aided Geometric Design, 57 (2017), 57-77.
- C.V. Beccari, G. Casciola, M.-L. Mazure, Piecewise extended Chebyshev
spaces: a numerical test for design, Applied Mathematics and Computation, 296(2017), 239–256.
- C.V. Beccari, M. Antonelli, G. Casciola, High quality local interpolation by composite parametric surfaces.
Computer Aided Geometric Design, 46(2016), 103-124.
- C.V. Beccari, M. Neamtu, On constructing RAGS via homogeneous splines, Computer Aided Geometric Design, 43(2016), 109–122.
- C.V. Beccari, D. Gonsor, M. Neamtu, RAGS: Rational geometric splines for surfaces of arbitrary topology, Computer Aided Geometric Design, 31(2014), 97-110.
- C.V. Beccari, M. Antonelli, G. Casciola, A general framework for the construction of
piecewise-polynomial local interpolants of minimum degree, Advances in Computational Mathematics, 40(2014), 945-976.
- C.V. Beccari, M. Antonelli, G. Casciola, R. Ciarloni, S. Morigi, Subdivision surfaces integrated in a CAD system, Computer-Aided Design, 45(2013), 1294-1305.
- C.V. Beccari, G. Casciola, L. Romani, Non-uniform non-tensor product local interpolatory subdivision surfaces. Computer Aided Geometric Design, 30(2013), 357-373.
- C.V. Beccari, M. Floater, L. Romani, T. Cashman, A smoothness criterion
for monotonicity-preserving subdivision. Advances in Computational
Mathematics, 39(2013), 193-204.
- C.V. Beccari, G. Casciola, L. Romani, Construction and characterization of
non-uniform local interpolating polynomial splines. Journal of Computational
and Applied Mathematics, 240(2013), 5-19.
- C.V. Beccari, G. Casciola, L. Romani, Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines.BIT Numerical Mathematics, 51(2011), 781-808.
- C.V. Beccari, G. Casciola, L. Romani, Polynomial-based non-uniform interpolatory subdivision with features control.
Journal of Computational and Applied Mathematics 235(2011), 4754-4769.
- C.V. Beccari, E. Farella, A. Liverani, S. Morigi, M. Rucci, A fast interactive reverse engineering system.
Computer-Aided Design 42(2010), 860-873.
- C.V. Beccari, G. Casciola, L. Romani, A unified framework for interpolating and approximating univariate subdivision. Applied Mathematics and Computation 216(2010), 1169-1180.
- C.V. Beccari, G. Casciola, L. Romani, Shape controlled interpolatory ternary subdivision. Applied Mathematics and Computation 215(2009), 916-927.
- C.V. Beccari, G. Casciola, L. Romani, An interpolating 4-point C 2 ternary non-stationary subdivision scheme with tension control. Computer Aided Geometric Design 24(2007), 210-219.
- C.V. Beccari, G. Casciola, L. Romani,A non-stationary uniform tension controlled
interpolating 4-point scheme reproducing conics. Computer Aided Geometric Design 24(2007), 1-9.
Books
- C.V. Beccari, G. Casciola, L. Romani, A vector outline descriptor using interpolatory subdivision curves. Curve and Surface Design: Avignon 2006, L.L. Schumaker, P. Chenin and T. Lyche (Eds.), Nashboro Press, Brentwood (TN), 2007, 31-40 http://boa.unimib.it/handle/10281/7763.
International Conference Proceedings with peer review
- M. Antonelli, C.V. Beccari, G. Casciola, S. Morigi, An approach for the integration of subdivision surfaces in a hybrid CAD system.
Proceedings of the 11th Symposium on Geometry Processing (SGP 2013), Genova, Italy, 35 July 2013.
- C.V. Beccari, G. Casciola, L. Romani, Interpolatory subdivision curves with local shape control. WSCG 2006 Full Papers Conference Proceedings, p. 33-40, http://wscg.zcu.cz/DL/wscg\_DL.htm.
Posters
Theses
- Tension-controlled interpolatory subdivision schemes. Construction, analysis, applications.
Ph.D thesis in Computational Mathematics, University of Padova, December 2006.
- Analisi di metodi per il blending di superfici in forma parametrica (Analysis of methods for blending parametric surfaces).
M.Sc. thesis in Mathematics, University of Bologna, March 2003.
