On the graphical display of Powell-Sabin splines: a comparison of three piecewise linear approximations

Powell-Sabin splines are C1-continuous piecewise quadratic polynomials defined on arbitrary triangulations. They admit a compact representation in a normalized B-spline basis with a geometric interpretation involving control triangles. This paper discusses several piecewise linear approximations for the graphical display of Powell-Sabin splines. We analyse their approximation error to the spline surface, measured in the max-norm.nrpages: 14status: publishe