Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Luc Biard"'
Publikováno v:
Journal of Computational and Applied Mathematics. 278:162-180
A construction is given for a G 3 piecewise rational Pythagorean hodograph convex spiral which interpolates two G 3 Hermite data associated with two non-concentric circles, one being inside the other. The spiral solution is of degree 7 and is the inv
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2010, 27 (4), pp.301-312. ⟨10.1016/j.cagd.2010.01.004⟩
Computer Aided Geometric Design, Elsevier, 2010, 27 (4), pp.301-312. ⟨10.1016/j.cagd.2010.01.004⟩
International audience; Given three regular space curves r1(t), r2(t), r3(t) for t in [0,1] that define a curvilinear triangle, we consider the problem of constructing a triangular surface patch R(u1,u2,u3) bounded by these three curves, such that th
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2010, 27 (2), pp.202-211. ⟨10.1016/j.cagd.2009.12.001⟩
Computer Aided Geometric Design, Elsevier, 2010, 27 (2), pp.202-211. ⟨10.1016/j.cagd.2009.12.001⟩
International audience; For a given polynomial $F(t)=\sum_{i=0}^n p_i B_i^n(t)$, expressed in the Bernstein basis over an interval $[a,b]$, we prove that the number of real roots of $F(t)$ in $[a,b]$, counting multiplicities, does not exceed the sum
Publikováno v:
Computer-Aided Design
Computer-Aided Design, Elsevier, 2009, 41 (11), pp.772-781. ⟨10.1016/j.cad.2009.02.019⟩
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
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2008, 25 (4-5), pp.258-273. ⟨10.1016/j.cagd.2007.10.008⟩
Computer Aided Geometric Design, Elsevier, 2008, 25 (4-5), pp.258-273. ⟨10.1016/j.cagd.2007.10.008⟩
Special Issue: Pythagorean-Hodograph Curves and Related Topics; International audience; A constructive geometric approach to rational ovals and rosettes of constant width formed by piecewise rational PH curves is presented. We propose two main constr
Publikováno v:
Graphical Models
Graphical Models, Elsevier, 2014, 76 (1), pp.30-42. ⟨10.1016/j.gmod.2013.10.005⟩
Graphical Models, vol 76, iss 1
Graphical Models, 2014, 76 (1), pp.30-42. ⟨10.1016/j.gmod.2013.10.005⟩
Graphical Models, Elsevier, 2014, 76 (1), pp.30-42. ⟨10.1016/j.gmod.2013.10.005⟩
Graphical Models, vol 76, iss 1
Graphical Models, 2014, 76 (1), pp.30-42. ⟨10.1016/j.gmod.2013.10.005⟩
In order to reconstruct spatial curves from discrete electronic sensor data, two alternative C2 Pythagorean-hodograph (PH) quintic spline formulations are proposed, interpolating given spatial data subject to prescribed constraints on the arc length
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b999fda84f8b2da719c0b9986d696a9b
https://hal.archives-ouvertes.fr/hal-00983444/file/C2PH.pdf
https://hal.archives-ouvertes.fr/hal-00983444/file/C2PH.pdf
Publikováno v:
Numerical Algorithms. 26:305-315
We present two numerical methods to approximate the shortest path or a geodesic between two points on a three-dimensional parametric surface. The first one consists of minimizing the path length, working in the parameter domain, where the approximati
Publikováno v:
Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2000, 17 (9), pp.835-861. ⟨10.1016/S0167-8396(00)00029-7⟩
Computer Aided Geometric Design, Elsevier, 2000, 17 (9), pp.835-861. ⟨10.1016/S0167-8396(00)00029-7⟩
International audience; General offset curves are treated in the context of Minkowski geometry, the geometry of the two-dimensional plane, stemming from the consideration of a strictly convex, centrally symmetric given curve as its unit circle. Minko
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⟩
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
https://hal.archives-ouvertes.fr/hal-00985177
Autor:
Luc Biard, Carlotta Giannelli
Publikováno v:
Computer-Aided Design
Computer-Aided Design, Elsevier, 2011, 43 (6), pp.586-597. ⟨10.1016/j.cad.2011.02.003⟩
Computer-Aided Design, Elsevier, 2011, 43 (6), pp.586-597. ⟨10.1016/j.cad.2011.02.003⟩
International audience; A convex G2 Hermite interpolation problem of concentric curvature elements is considered in this paper. It is first proved that there is no spiral arc solution with turning angle less than or equal to π and then, that any con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5db18cd7267c66aa3d22f29b9379073
https://hal.archives-ouvertes.fr/hal-00864485
https://hal.archives-ouvertes.fr/hal-00864485