author = {M. Aigner and I. Szil\'agyi and B. J\"uttler and J. Schicho},
title = {{Implicitization and Distance Bounds}},
booktitle = {{Mathematic and Visualization}},
language = {english},
abstract = {In this paper, we combine results concerning the numerical stability of the implicitization process for a given planar rational curve, with results on the the stability of the resulting implicit representation. More precisely, it is shown that for any approximate parameterization of the given curve, the curve obtained by an approximate implicitization with a given precision is contained within a certain perturbation region. The results can be generalized to the case of surfaces.},
series = {Mathematics and Visualization},
pages = {1--14},
publisher = {Springer},
isbn_issn = {?},
year = {2005},
note = {to appear},
editor = {M. Elkadi},
refereed = {yes},
length = {14}