Uniform approximation of near-singular surfaces


We consider the problem of a piecewise-polynomial (spline) approximation of algebraic surfaces of a given degree. Conventional accuracy estimates in such approximations include bounds on the high-order derivatives, or on the surface curvature. As an algebraic surface degenerates to a singular one, the curvature blows up. Consequently, the same happens with… (More)
DOI: 10.1016/j.tcs.2007.10.005


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