Advanced Course on FAIRSHAPESpringer Science & Business Media, 6 dec 2012 - 288 pagina's |
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Aided Geometric Design algorithm B-spline curve B-spline surface basis functions Bézier bivariate blending Bloor boundary conditions boundary value CAGD characteristic base curve Computer Aided Geometric Computer-Aided Design constraints construction continuity control points corresponding Costantini cubic spline curvature Curves and Surfaces data points data sets defined degree denotes derivative described domain edge example fairness functional FAIRSHAPE Gaussian curvature given grid image intensity inflection isophotes Kaklis knot vector knots least squares linear Mathematical minimizing modeling NTUA NURBS obtained optimization parameters partial differential equation PDE surface planar plane polygon properties quadratic quadtree range restricted interpolation rational representation resp Sapidis satisfy scattered data scheme segments shape shape-preserving interpolation smooth solution space specified spline interpolation surface design surface fairness tangent tensor product Theorem ti+1 torsion triangulation University of Dundee variation vector field wing wing-sections Xi+1