AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI   Info

MPI Audience

English

60 Minutes

Saarbrücken

In this talk, we will report some results on representation of piecewise Biharmonic surfaces using biquadratic and cubic B-splines. An interesting result was found that for either case, every 3×3 control vertices patch satisfies an equation whose coefficients regularly related to steps of B-spline knots. We will show that for surfaces which are open, closed in one direction or fully closed, the unknown control vertices are fully determined by control vertices of boundaries and so-called shape control curves. A linear system is established to solve each problem. The proof of the existence and uniqueness of solution is presented. A few examples will be shown to demonstrate the resulting surfaces. As last, some related open problems will be discussed.

Ellen Fries

9325-4000

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