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Non-Uniform Rational B-Splines

Authors: James G. Fiasconaro; David S. Maitiand;

Non-Uniform Rational B-Splines

Abstract

<div class="htmlview paragraph">As more and more ME CAD/CAM application programs start using B-splines to represent curves and surfaces, the need is arising for advanced CAD/CAM workstations which can generate realistic images of these curves and surfaces directly from the B-spline description. This article discusses the advantages of using B-splines (in particular trimmed nonuniform rational B-splines) in such applications and the advantages of having a workstation that can display them directly. The authors explain B-splines in an intuitive and largely nonmathematical way. Illustrations are given of mechanical parts which contain both geometric shapes and freeform surfaces and which were rendered directly from B-spline descriptions. These examples are compared to the usual method for rendering such objects to further Illustrate the advantages of rendering trimmed surfaces directly from the B-spline description.</div>

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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