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Algorithms for ordering unorganized points along parametrized curves. (English) Zbl 0789.65007

The aim of this study is to find an automatic method to order unorganized points which are uniformly distributed along curves. The authors present two practical algorithms based on geometrical criteria. The computational complexity of these algorithms is \(O(n\log n)\) and the space complexity \(O(n)\). Four consistent practical applications are discussed: feasibility of a piece machining, space object motion, algebraic curve plotting and sorting a restricted number of points non-uniformly distributed along an algebraic curve.
Reviewer: M.Gaşpar (Iaşi)

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
65D10 Numerical smoothing, curve fitting
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