@**inproceedings**{RISC2439,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}

}