Lin, QunRokne, J. G.2018-09-272018-09-272006-05-02Qun Lin and J. G. Rokne, “Intersection test and blossoming perturbation for disk parametric curves and ball parametric surfaces,” Mathematical Problems in Engineering, vol. 2006, Article ID 29643, 28 pages, 2006. doi:10.1155/MPE/2006/29643http://hdl.handle.net/1880/108548https://doi.org/10.11575/PRISM/45801Errors in curve and surface representation due to inaccuracies inthe data are considered and accounted for by introducing diskparametric curves and ball parametric surfaces. Intersection testalgorithms and interval extensions using blossoming are discussedfor each of the three cases of Bézier curves, tensor productsurfaces, and triangular patches. A stability analysis is alsoperformed for each of the three cases. It is shown that undercertain restrictions disk Bézier curves and triangular ballBézier patches are stable with respect to perturbations of thecontrol disks (balls); whereas tensor product ball Béziersurfaces are in general not.Journal Article2018-09-27enCopyright © 2006 Qun Lin and J. G. Rokne. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.https://doi.org/10.1155/MPE/2006/29643