This booklet goals to advance algorithms of shape-preserving spline approximation for curves/surfaces with automated selection of the stress parameters. The ensuing curves/surfaces preserve geometric houses of the preliminary facts, comparable to positivity, monotonicity, convexity, linear and planar sections. the most instruments used are generalized stress splines and B-splines. A distinction procedure for developing stress splines is additionally constructed which allows one to prevent the computation of hyperbolic features and gives different computational benefits. The algorithms of monotonizing parametrization defined enhance an sufficient illustration of the ensuing shape-preserving curves/surfaces.Detailed descriptions of algorithms are given, with a robust emphasis on their desktop implementation. those algorithms might be utilized to resolve many difficulties in computer-aided geometric layout.
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