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
Surface fitting using convex Powell-Sabin splines
Journal of Computational and Applied Mathematics
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
A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
Piecewise Quadratic Approximations on Triangles
ACM Transactions on Mathematical Software (TOMS)
Macro-elements and stable local bases for splines on Powell-Sabin triangulations
Mathematics of Computation
Polar forms and quadratic spline quasi-interpolants on Powell--Sabin partitions
Applied Numerical Mathematics
Nonnegativity preserving macro-element interpolation of scattered data
Computer Aided Geometric Design
A normalized basis for quintic Powell--Sabin splines
Computer Aided Geometric Design
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We discuss local Hermite interpolation by C^2 quintic Powell-Sabin splines represented in a normalized B-spline basis. We derive explicit formulae for the spline coefficients in this B-spline representation to interpolate given Hermite data. As part of the analysis, we show how tensor algebra can be used to describe polynomials in Bernstein-Bezier form and to simplify their manipulation.