@misc{10481/71243, year = {2021}, month = {10}, url = {http://hdl.handle.net/10481/71243}, abstract = {The paper deals with the characterization of Powell-Sabin triangulations allowing the construction of bivariate quartic splines of class C-2. The result is established by relating the triangle and edge split points provided by the refinement of each triangle. For a triangulation fulfilling the characterization obtained, a normalized representation of the splines in the C-2 space is given.}, organization = {Junta de Andalucia}, organization = {University of Granada}, publisher = {Pergamon- Elsevier Science}, keywords = {Powell-Sabin triangulation}, keywords = {Quartic splines}, keywords = {Bernstein basis}, keywords = {Blending functions}, title = {A geometric characterization of Powell-Sabin triangulations allowing the construction of C-2 quartic splines}, doi = {10.1016/j.camwa.2021.08.028}, author = {Barrera Rosillo, Domingo and Eddargani, Salah and Ibáñez Pérez, María José and Lamnii, Abdellah}, }