Rational bi-cubic G2 splines for design with basic shapes

Abstract

The paper develops a rational bi-cubic G2 (curvature continuous) analogue of the non-uniform polynomial C2 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.

DOI: 10.1111/j.1467-8659.2011.02013.x

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@article{Karciauskas2011RationalBG, title={Rational bi-cubic G2 splines for design with basic shapes}, author={Kestutis Karciauskas and J{\"{o}rg Peters}, journal={Comput. Graph. Forum}, year={2011}, volume={30}, pages={1389-1395} }