Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
A quadratic spline structure over triangulations
Applied Mathematics and Computation
Quadrilateral finite elements of FVS type and class Cp
Numerische Mathematik
A bivariate C3 interpolation scheme
Journal of Computational and Applied Mathematics
Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials
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 the Approximation Power of Splines on Triangulated Quadrangulations
SIAM Journal on Numerical Analysis
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
An explicit local basis for C1 cubic spline spaces over a triangulated quadrangulation
Journal of Computational and Applied Mathematics - Special issue: Approximation theory, wavelets, and numerical analysis
A bivariate C2 Clough-Tocher scheme
Computer Aided Geometric Design
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In this paper, we present a special multivariate quadratic spline space S"2^1^,^0(@?) over a refined quadrangulation. We get its dimension, and construct its basis splines. At the same time, we obtain the explicit representations of the basis splines by the smoothing cofactor-conformality method. The approximation properties of two constructed quasi-interpolation operators are discussed, some supporting numerical results are presented. We also compare our spline with some traditional splines in this paper. The results can be applied to many fields such as CAGD, function approximation, numerical analysis, finite element method, and so on.