Karciauskas, KestutisPeters, JörgMario Botsch and Scott Schaefer2015-02-272015-02-2720111467-8659https://doi.org/10.1111/j.1467-8659.2011.02013.xThe 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.I.3.5 [Computer Graphics]Curvesurface solid and object representationSplines