Rational Bi-cubic G2 Splines for Design with Basic Shapes

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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
The paper develops a rational bi-cubic G<sup>2</sup> (curvature continuous) analogue of the non-uniform polynomial C<sup>2</sup> cubic B-spline paradigm. These rational splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, in one by default smoothly-connected structure. The versatility of this new tool for processing exact geometry is illustrated by conceptual design from basic shapes.
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@article{
:10.1111/j.1467-8659.2011.02013.x
, journal = {Computer Graphics Forum}, title = {{
Rational Bi-cubic G2 Splines for Design with Basic Shapes
}}, author = {
Karciauskas, Kestutis
and
Peters, Jörg
}, year = {
2011
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd.
}, ISSN = {
1467-8659
}, DOI = {
/10.1111/j.1467-8659.2011.02013.x
} }
Citation