This ebook goals to advance algorithms of shape-preserving spline approximation for curves/surfaces with automated selection of the strain parameters. The ensuing curves/surfaces maintain geometric houses of the preliminary info, similar to positivity, monotonicity, convexity, linear and planar sections. the most instruments used are generalized stress splines and B-splines. A distinction procedure for developing rigidity splines can also be constructed which allows one to prevent the computation of hyperbolic features and gives different computational merits. The algorithms of monotonizing parametrization defined increase an enough illustration of the ensuing shape-preserving curves/surfaces.Detailed descriptions of algorithms are given, with a robust emphasis on their desktop implementation. those algorithms will be utilized to resolve many difficulties in computer-aided geometric layout.
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