Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
An Introduction to Polar Forms
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
On C2 quintic spline functions over triangulations of Powell-Sabin's type
Journal of Computational and Applied Mathematics - Special issue on scattered data
On calculating normalized Powell-Sabin B-splines
Computer Aided Geometric Design
Macro-elements and stable local bases for splines on Powell-Sabin triangulations
Mathematics of Computation
Quasi-hierarchical Powell--Sabin B-splines
Computer Aided Geometric Design
Numerical solution of partial differential equations with Powell-Sabin splines
Journal of Computational and Applied Mathematics
A C1 globally interpolatory spline of arbitrary topology
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
A normalized basis for reduced Clough-Tocher splines
Computer Aided Geometric Design
On multivariate polynomials in Bernstein-Bézier form and tensor algebra
Journal of Computational and Applied Mathematics
Interpolation with quintic Powell-Sabin splines
Applied Numerical Mathematics
Multivariate normalized Powell-Sabin B-splines and quasi-interpolants
Computer Aided Geometric Design
Isogeometric analysis on triangulations
Computer-Aided Design
A normalized basis for C1 cubic super spline space on Powell-Sabin triangulation
Mathematics and Computers in Simulation
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We construct a suitable normalized B-spline representation for C^2-continuous quintic Powell-Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are tangent to the spline surface. We also show how to compute the Bezier control net of such a spline in a stable way.