@misc{10481/79783, year = {2022}, month = {12}, url = {https://hdl.handle.net/10481/79783}, abstract = {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.}, publisher = {MDPI}, keywords = {Bernstein–Bézier coefficients}, keywords = {Quasi-interpolation}, keywords = {Type-1 triangulation}, keywords = {Clough–Tocher split}, title = {C-1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation}, doi = {10.3390/math11010059}, author = {Benharzallah, Haithem and Barrera Rosillo, Domingo}, }