On the graphical display of Powell-Sabin splines: a comparison of three piecewise linear approximations
نویسندگان
چکیده
Powell-Sabin splines are C-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 PowellSabin splines. We analyse their approximation error to the spline surface, measured in the max-norm.
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