Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Jean-Louis Merrien"'
Publikováno v:
Advances in Computational Mathematics
Advances in Computational Mathematics, 2021, 47 (2), pp.article n° 25. ⟨10.1007/s10444-021-09854-X⟩
Advances in Computational Mathematics, Springer Verlag, 2021, 47 (2), pp.article n° 25. ⟨10.1007/s10444-021-09854-X⟩
Advances in Computational Mathematics, 2021, 47 (2), pp.article n° 25. ⟨10.1007/s10444-021-09854-X⟩
Advances in Computational Mathematics, Springer Verlag, 2021, 47 (2), pp.article n° 25. ⟨10.1007/s10444-021-09854-X⟩
In this paper we construct a family of ternary interpolatory Hermite subdivision schemes of order 1 with small support and ${\mathscr{H}}\mathcal {C}^{2}$ H C 2 -smoothness. Indeed, leaving the binary domain, it is possible to derive interpolatory He
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7592db617cab5073478b5eca1a6a6704
https://doi.org/10.1007/s10444-021-09854-x
https://doi.org/10.1007/s10444-021-09854-x
Autor:
Tomas Sauer, Jean-Louis Merrien
Publikováno v:
Numerische Mathematik
Numerische Mathematik, 2019, 142 (1), pp.167-203. ⟨10.1007/s00211-018-0996-9⟩
Numerische Mathematik, Springer Verlag, 2019, 142 (1), pp.167-203. ⟨10.1007/s00211-018-0996-9⟩
Numerische Mathematik, 2019, 142 (1), pp.167-203. ⟨10.1007/s00211-018-0996-9⟩
Numerische Mathematik, Springer Verlag, 2019, 142 (1), pp.167-203. ⟨10.1007/s00211-018-0996-9⟩
Hermite subdivision schemes act on vector valued data that is not only considered as functions values of a vector valued function from $$\mathbb {R}$$ to $$\mathbb {R}^r$$ , but as evaluations of r consecutive derivatives of a function. This intuitio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fa0d48875c1670b4d9a1ba4d43dc71a
https://hal.science/hal-01731590v2/document
https://hal.science/hal-01731590v2/document
Autor:
Jean-Louis Merrien, Tom Lyche
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2018, 65, pp.76-92. ⟨10.1016/j.cagd.2018.07.004⟩
Computer Aided Geometric Design, 2018, 65, pp.76-92. ⟨10.1016/j.cagd.2018.07.004⟩
Computer Aided Geometric Design, Elsevier, 2018, 65, pp.76-92. ⟨10.1016/j.cagd.2018.07.004⟩
Computer Aided Geometric Design, 2018, 65, pp.76-92. ⟨10.1016/j.cagd.2018.07.004⟩
International audience; We propose a simplex spline basis for a space of C1-cubics on the Clough-Tocher split on a triangle. The 12 elements of the basis give a nonnegative partition of unity. Then, we derive two Marsden-like identities, three quasi-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dfe5b700e48c7bb6a01fb31831fa310
https://hal.archives-ouvertes.fr/hal-01677442
https://hal.archives-ouvertes.fr/hal-01677442
Autor:
Tomas Sauer, Jean-Louis Merrien
Publikováno v:
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, 2017, 317, pp.343-361. ⟨10.1016/j.cam.2016.12.002⟩
Journal of Computational and Applied Mathematics, Elsevier, 2017, 317, pp.343-361. ⟨10.1016/j.cam.2016.12.002⟩
Journal of Computational and Applied Mathematics, 2017, 317, pp.343-361. ⟨10.1016/j.cam.2016.12.002⟩
Journal of Computational and Applied Mathematics, Elsevier, 2017, 317, pp.343-361. ⟨10.1016/j.cam.2016.12.002⟩
International audience; Subdivision schemes are efficient tools for building curves and surfaces. For vector subdivision schemes, it is not so straightforward to prove more than the Hölder regularity of the limit function. On the other hand, Hermite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23e68766db62bdfc17dda4d5fba86ba2
https://hal.science/hal-01250509v3/document
https://hal.science/hal-01250509v3/document
Autor:
Serge Dubuc, Jean-Louis Merrien
Publikováno v:
Constructive Approximation
Constructive Approximation, 2009, 29 (2), pp.219-245. ⟨10.1007/s00365-008-9011-5⟩
Constructive Approximation, Springer Verlag, 2009, 29 (2), pp.219-245. ⟨10.1007/s00365-008-9011-5⟩
Constructive Approximation, 2009, 29 (2), pp.219-245. ⟨10.1007/s00365-008-9011-5⟩
Constructive Approximation, Springer Verlag, 2009, 29 (2), pp.219-245. ⟨10.1007/s00365-008-9011-5⟩
International audience; We propose a general study of the convergence of a Hermite subdivision scheme $\mathcal H$ of degree $d>0$ in dimension 1. This is done by linking Hermite subdivision schemes and Taylor polynomials and by associating a so-call
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e641116f2f187bb09ac077e08875a409
https://doi.org/10.1007/s00365-008-9011-5
https://doi.org/10.1007/s00365-008-9011-5
Autor:
Tom Lyche, Jean-Louis Merrien
Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.Most chapters open with a review followed by theoretical and programming exercises, with detailed solut
Publikováno v:
Computer Aided Geometric Design. 22:727-752
For prescribed values of a function and its partial derivatives of orders 1 and 2 at the vertices of a square, we fit an interpolating surface. We investigate two families of solutions provided by two Hermite subdivision schemes, denoted HD^2 and HR^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c4a21222ee9e3bbaf066751399a2788
https://doi.org/10.1016/j.cagd.2005.03.001
https://doi.org/10.1016/j.cagd.2005.03.001
Autor:
Jean-Louis Merrien, Paul Sablonnière
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 333:493-497
Creating interpolants preserving the monotonicity and/or the convexity of arbitrary data on a bounded interval is a basic problem in CAGD. In order to solve it, we use C 1 interpolants on [0,1] defined by the subdivision algorithm introduced by Merri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66ea0913124c32376ad9f265c993d0d4
https://doi.org/10.1016/s0764-4442(01)02072-9
https://doi.org/10.1016/s0764-4442(01)02072-9
Autor:
Serge Dubuc, Jean-Louis Merrien
Publikováno v:
Advances in Computational Mathematics. 10:343-365
Given f and ∇f at the vertices of a rectangular mesh, we build an interpolating function f by a subdivision algorithm. The construction on each elementary rectangle is independent of any disjoint rectangle. From the Hermite data associated with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96ff979c4fe3b6425ab42115245c4b8f
https://doi.org/10.1023/a:1018943002601
https://doi.org/10.1023/a:1018943002601
Autor:
Jean-Louis Merrien
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 33:55-65
We propose a two point subdivision scheme with parameters to draw curves that satisfy Hermite conditions at both ends of [a,b] . We build three functions f,p and s on dyadic numbers and, using infinite products of matrices, we prove that, under assum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfb6745e0c81ba66a82fd7f25b859e5a
https://doi.org/10.1051/m2an:1999104
https://doi.org/10.1051/m2an:1999104