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Support Function Representation for Curvature Dependent Surface Sampling
2009
Applied and Industrial Mathematics in Italy III
In many applications it is required to have a curvature-dependent surface sampling, based on a local shape analysis. In this work we show how this can be achieved by using the support function (SF) representation of a surface. This representation, a classical tool in Convex Geometry, has been recently considered in CAD problems for computing surface offsets and for analyzing curvatures. Starting from the observation that triangular Bézier spline surfaces have quite simple support functions, we
doi:10.1142/9789814280303_0046
fatcat:c4focpx2avay7lp253afksk4jy