We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B-splines. Besides their well-known algebraic and geometric properties, we provide a deeper insight why these representations are so popular and efficient by proving that they are optimal bases for the corresponding function spaces. Moreover, we review some generalizations of the B-spline structure in function spaces which extend classical polynomials. Extensions to the bivariate case beyond the straightforward tensor-product case are also presented.nrpages: 63status: publishe
We develop a multi-degree polar spline framework with applications to both geometric modeling and is...
International audienceA spline space suitable for Isogeometric Analysis (IgA) on multi-patch domains...
Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bot...
We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B...
Tchebycheffian splines are smooth piecewise functions whose pieces are drawn from (possibly differen...
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation ope...
AbstractThis paper presents a unified approach to deal with spaces containing simultaneously algebra...
Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T...
The concept of isogeometric analysis has been proposed in [13], where NURBS are considered as basis ...
We construct a suitable B-spline representation for a family of bivariate spline functions with smoo...
In this paper we propose an alternative to the rational model presenting an isogeometric analysis a...
We introduce optimal quadrature rules for spline spaces that are frequently used in Galerkin discret...
Computer aided geometric design is the design of geometric shapes, such as curves and surfaces, by u...
Easy to construct and optimally convergent generalisations of B-splines to unstructured meshes are e...
International audienceLocal refinement with hierarchical B-spline structures is an active topic of r...
We develop a multi-degree polar spline framework with applications to both geometric modeling and is...
International audienceA spline space suitable for Isogeometric Analysis (IgA) on multi-patch domains...
Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bot...
We present a short summary of CAGD tools of main interest in IgA, namely Bernstein polynomials and B...
Tchebycheffian splines are smooth piecewise functions whose pieces are drawn from (possibly differen...
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation ope...
AbstractThis paper presents a unified approach to deal with spaces containing simultaneously algebra...
Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T...
The concept of isogeometric analysis has been proposed in [13], where NURBS are considered as basis ...
We construct a suitable B-spline representation for a family of bivariate spline functions with smoo...
In this paper we propose an alternative to the rational model presenting an isogeometric analysis a...
We introduce optimal quadrature rules for spline spaces that are frequently used in Galerkin discret...
Computer aided geometric design is the design of geometric shapes, such as curves and surfaces, by u...
Easy to construct and optimally convergent generalisations of B-splines to unstructured meshes are e...
International audienceLocal refinement with hierarchical B-spline structures is an active topic of r...
We develop a multi-degree polar spline framework with applications to both geometric modeling and is...
International audienceA spline space suitable for Isogeometric Analysis (IgA) on multi-patch domains...
Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bot...
Add to ORKG