Bivariate C～2 Quartic Spline Spaces Over Uniform Type-2 Triangulation With Boundary Conditions

In this thesis, we study subspaces of the bivariate C2 quartic spline space with dif-ferent boundary conditions over uniform type-2 triangulation. Dimension of S₄^2,0(Δ_mn²),S₄^2,1(Δ_mn²) and S₄^2,2(Δ_mn²) are determined, and their basis functions with minimal locallysupports are constructed.