Construction of Bézier surface patches with Bézier curves as geodesic boundaries

Autor: Luc Biard, Nicolas Szafran, Rida T. Farouki

Publikováno v: Computer-Aided Design
Computer-Aided Design, Elsevier, 2009, 41 (11), pp.772-781. ⟨10.1016/j.cad.2009.02.019⟩

International audience; Given four polynomial or rational Bézier curves defining a curvilinear rectangle, we consider the problem of constructing polynomial or rational tensor-product Bézier patches bounded by these curves, such that they are geode

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0978a6bd73554fd8e7fb09be326baf54
https://doi.org/10.1016/j.cad.2009.02.019

Reconstruction of quasi developable surfaces from ribbon curves

Autor: Nicolas Szafran, Mathieu Huard, Luc Biard, Nathalie Sprynski

Publikováno v: Numerical Algorithms
Numerical Algorithms, Springer Verlag, 2013, 63 (3), pp.483-506. ⟨10.1007/s11075-012-9633-3⟩
Numerical Algorithms, 2013, 63 (3), pp.483-506. ⟨10.1007/s11075-012-9633-3⟩

International audience; This paper deals with the acquisition and reconstruction of physical surfaces by mean of a ribbon device equipped with micro-sensors, providing geodesic curves running on the surface. The whole process involves the reconstruct

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62544425ccf6baaace4073060ae392b8
https://hal.archives-ouvertes.fr/hal-00985177

Construction of rational surface patches bounded by lines of curvature

Autor: Luc Biard, Rida T. Farouki, Nicolas Szafran

Publikováno v: Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2010, 27 (5), pp.359-371. ⟨10.1016/j.cagd.2010.03.002⟩

International audience; The fact that the Darboux frame is rotation-minimizing along lines of curvature of a smooth surface is invoked to construct rational surface patches whose boundary curves are lines of curvature. For given patch corner points a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b484aaa5473c413a2a69c594a6244f2
https://hal.archives-ouvertes.fr/hal-00463845

Geometrical Modelling of the Fibre Organization in the Human Left Ventricle

Autor: Ayman Mourad, Nicolas Szafran, Pierre-Simon Jouk, Luc Biard, Annie Raoult, Yves Usson, Denis Caillerie

Publikováno v: Lecture Notes in Computer Science
FIMH 2001-First International Workshop on Functional Imaging and Modeling of the Heart
FIMH 2001-First International Workshop on Functional Imaging and Modeling of the Heart, Nov 2001, Helsinki, Finland. pp.32-38, ⟨10.1007/3-540-45572-8_5⟩
Functional Imaging and Modeling of the Heart ISBN: 9783540428619
FIMH
Scopus-Elsevier

International audience; The aim of the present study is to check, by means of elementary mathematical tools, a conjecture according to which myocardial fibres are geodesic curves running on some surfaces. This conjecture was first stated and experime

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bd3d825f3735f4a21acb95786c74f35
https://hal.archives-ouvertes.fr/hal-01089020

Multiresolution morphing for planar curves.

Autor: Hahmann, S.¹ stefanie.hahmann@imag.fr, Bonneau, G.-P.² georges-pierre.bonneau@ujf-grenoble.fr, Caramiaux, B.¹ baptiste.caramiaux@imag.fr, Cornillac, M.¹ melanie.cornillac@imag.fr

Publikováno v: Computing. Mar2007, Vol. 79 Issue 2-4, p197-209. 13p. 9 Diagrams.