A smooth manifold based construction of approximating lofted surfaces

Authors: Southern, R. and Dodgson, N.A.

http://www.cl.cam.ac.uk/techreports/UCAM-CL-TR-699.html

Publisher: University of Cambridge, Computer Laboratory

We present a new method for constructing a smooth manifold approximating a curve network or control mesh. In our two-step method, smooth vertex patches are initially defined by extrapolating and then blending a univariate or bivariate surface representation. Each face is then constructed by blending together the segments of each vertex patch corresponding to the face corners. By approximating the input curve network, rather than strictly interpolating it, we have greater flexibility in controlling surface behaviour and have local control. Additionally no initial control mesh fitting or fairing needs to be performed, and no derivative information is needed to ensure continuity at patch boundaries.

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