Weighted phi-transformed systems include many systems of functions useful in C.A.G.D. It is proved that these systems inherit some geometric properties of a given initial system, such as shape preservation or optimal ...
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Weighted phi-transformed systems include many systems of functions useful in C.A.G.D. It is proved that these systems inherit some geometric properties of a given initial system, such as shape preservation or optimal shape preservation. A general class of important rational bases can be obtained as a particular example of weighted phi-transformed systems. For these bases, evaluation and subdivision algorithms are presented. Some relevant applications are pointed out. (C) 2020 Elsevier B.V. All rights reserved.
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