A harmonic Bézier surface of odd degree is unambiguously determined by two opposite rows of boundary control points. For even degree, the inner rows and in addition a corner control point are determined by control points in the first and last row.
In our forthcoming "Bézier PDE Surfaces for Interactive Design," submitted to the journal Computer Aided Geometric Design, we give an explicit formula for the Bézier control points of the harmonic surface determined by the given boundary curves.
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