Rational Bi-cubic G2 Splines for Design with Basic Shapes
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2011Pay-Per-View via TIB Hannover:
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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.
BibTeX
@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}
}
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}
}