Hongci Huang

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We approximate a manifold triangulation in R3 using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function defined within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape(More)
We approximate a manifold triangulation in IR using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function de ned within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape(More)
We study the extrapolation method for the numerical solution of elliptic boundary value problems on corner domains. Most papers on the extrap-olation method for solving diierential equations require smoothness assumptions on exact solutions, which do not hold for boundary value problems on corner domains. We conjecture that asymptotic error expansions exist(More)
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