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- Guoliang Xu, Hongci Huang, Chandrajit L. Bajaj
- Computer Aided Geometric Design
- 2001

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 give a relatively complete analysis for the regularization method, which is usually used in solving non-diierentiable minimization problems. The model problem considered in the paper is an obstacle problem. In addition to the usual convergence result and a-priori error estimates, we provide a-posteriori error estimates which are highly desired for… (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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