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Corner cutting algorithms associated with optimal shape preserving representations. (English) Zbl 0997.65025

Summary: Given a space of functions which admits shape preserving representations using control polygons, we construct a corner cutting algorithm which will be called B-algorithm. It is an evaluation algorithm satisfying important properties such as subdivision property and convergence to the curve of the resulting control polygons. Many examples are given.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
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