Výsledky vyhledávání - "Giulio Casciola"

An extended B-Rep solid modeling kernel integrating mesh and NURBS faces

Autor: Roberto Raffaeli, Giacomo Ferrari, Giulio Casciola, Serena Morigi

Publikováno v: Computer-Aided Design and Applications. 15:697-706

In several application contexts, virtual solid models require to integrate portions of polygonal meshes with synthetic models, designed by traditional parametric/analytical multipatches systems. The paper reports the research aiming at covering the t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0897ef791aeb55a5fbf460d96537acca
https://doi.org/10.1080/16864360.2018.1441237

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Stable numerical evaluation of multi-degree B-splines

Autor: Giulio Casciola, Carolina Vittoria Beccari

Multi-degree splines are piecewise polynomial functions having sections of different degrees. They offer significant advantages over the classical uniform-degree framework, as they allow for modeling complex geometries with fewer degrees of freedom a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::597138c2de858296422ef48c587bd8f3

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Matrix representations for multi-degree B-splines

Autor: Carolina Vittoria Beccari, Giulio Casciola

The paper is concerned with computing the B-spline basis of a multi-degree spline space, namely a space of piecewise functions comprised of polynomial segments of different degrees. To this aim, we provide a general method to work out a matrix repres

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e599bd08aba5214a5524acef9a1f80
http://hdl.handle.net/11585/799481

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Dimension elevation is not always corner-cutting

Autor: Marie-Laurence Mazure, Carolina Vittoria Beccari, Giulio Casciola

Publikováno v: Applied Mathematics Letters
Applied Mathematics Letters, Elsevier, 2020, 109, pp.106529. ⟨10.1016/j.aml.2020.106529⟩
Applied Mathematics Letters, 2020, 109, pp.106529. ⟨10.1016/j.aml.2020.106529⟩

International audience; Degree elevation is a typical corner-cutting algorithm. It refers to the process transforming control polygons when embedding a polynomial space of some degree into any polynomial space of higher degree.Dimension elevation sim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3b2e958ae690b931f595fcc8b253de7
https://hal.archives-ouvertes.fr/hal-02482422

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On multi-degree splines

Autor: Carolina Vittoria Beccari, Serena Morigi, Giulio Casciola

Publikováno v: Computer Aided Geometric Design. 58:8-23

Multi-degree splines are piecewise polynomial functions having sections of different degrees. For these splines, we discuss the construction of a B-spline basis by means of integral recurrence relations, extending the class of multi-degree splines th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d99ac2630f8d50703f1f403a9d50a2c7
https://doi.org/10.1016/j.cagd.2017.10.003

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Critical length: an alternative approach

Autor: Marie-Laurence Mazure, Carolina Vittoria Beccari, Giulio Casciola

Publikováno v: Curves and Surfaces
Curves and Surfaces, Jun 2018, Arcachon, France
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2020, 370, pp.112603. ⟨10.1016/j.cam.2019.112603⟩
Journal of Computational and Applied Mathematics, 2020, 370, pp.112603. ⟨10.1016/j.cam.2019.112603⟩

International audience; We provide a numerical method to determine the critical lengths of linear differential operators with constant real coefficients. The need for such a procedure arises when the orders increase. The interest of this article is c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bd4b8f2e9c68debef914c7fb4333a6d
http://arxiv.org/abs/1904.09253

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Design or not design? A numerical characterisation for piecewise Chebyshevian splines

Autor: Carolina Vittoria Beccari, Marie-Laurence Mazure, Giulio Casciola

Publikováno v: Numerical Algorithms
Numerical Algorithms, 2019, 81 (1), pp.1-31. ⟨10.1007/s11075-018-0533-z⟩
Numerical Algorithms, Springer Verlag, 2019, 81 (1), pp.1-31. ⟨10.1007/s11075-018-0533-z⟩

International audience; This work concerns the useful and large class of all piecewise Chebyshevian splines, in the sense of splines with pieces taken from different Extended Chebyshev spaces all of the same dimension, and with connection matrices at

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90aca35eeef01c1f522d36bd8479b461
http://hdl.handle.net/11585/665639

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An Extended Solid Modelling Kernel for Combined Analytic and Mesh B-Rep Faces

Autor: Roberto Raffaeli, Giacomo Ferrari, Serena Morigi, Giulio Casciola

Publikováno v: Proceedings of CAD'17.

In several application fields, ranging from computer graphics to industrial design, 3D modeling and production systems, users face the design and editing of 3D virtual geometric models. 3D models can be classified in two families: polygonal models, t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c9e4ae20effafa71d4101ff209be316
https://doi.org/10.14733/cadconfp.2017.273-277

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Piecewise Extended Chebyshev Spaces: a numerical test for design

Autor: Marie-Laurence Mazure, Carolina Vittoria Beccari, Giulio Casciola

Publikováno v: Applied Mathematics and Computation
Applied Mathematics and Computation, Elsevier, 2017, 296, pp.239-256. ⟨10.1016/j.amc.2016.09.027⟩
Applied Mathematics and Computation, 2017, 296, pp.239-256. ⟨10.1016/j.amc.2016.09.027⟩

International audience; Given a number of Extended Chebyshev (EC) spaces on adjacent intervals, all of the same dimension, we join them via convenient connection matrices without increasing the dimension. The global space is called a Piecewise Extend

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c71a4b130eacc0cc13cf2804d24f30c9
https://hal.archives-ouvertes.fr/hal-01326410

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