We propose a local method of constructing piecewise G1 Bezier patches to span an irregular curve network, without modifying the given curves at odd and 4valent node points. Topologically irregular regions of the network are approximated by implicit surfaces, which are used to generate split curves, which subdivide the regions into triangular and/or rectangular subregions. The subdivided regions are then interpolated with Bezier patches. We analyze various singular cases of the G1 condition that is to be met by the interpolation and propose a new G1 continuity condition using linear and quartic scalar weight functions. Using this condition, a curve network can be interpolated without modification at 4valent nodes with two collinear tangent vectors, even in the presence of singularities. We demonstrate our approach in a ship hull.Interpolating G1 Bezier surfaces over irregular curve networks for ship hull design, DooYeoun Cho a, KyuYeul Lee b, TaeWan Kim, ComputerAided Design 38 (2006) 641.660
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