2 research outputs found
C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation
C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement
of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known
values of the function to be approximated, so that a set of appropriate basis functions is not required.
The resulting quasi-interpolation operators reproduce cubic polynomials. Some numerical tests are
given in order to show the performance of the approximation scheme
C1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation
C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known values of the function to be approximated, so that a set of appropriate basis functions is not required. The resulting quasi-interpolation operators reproduce cubic polynomials. Some numerical tests are given in order to show the performance of the approximation scheme