Title :
Analyzing and enhancing the robustness of implicit representations
Author :
Aigner, Martin ; Jiittler, B. ; Kim, Myung-Soo
Author_Institution :
Inst. of Appl. Geometry, Johannes Kepler Univ., Linz, Austria
Abstract :
We introduce a robustness measure which allows to analyze implicitly defined curves and surfaces with respect to their stability. It can be used to bound the maximal position error, which is introduced by small perturbations of the coefficients of a curve or surface. It is shown that the robustness of an implicitly defined curve or surface can be enhanced by multiplying it with auxiliary factors.
Keywords :
computational geometry; curve fitting; piecewise polynomial techniques; splines (mathematics); surface fitting; implicit representations; implicitly defined curves; implicitly defined surfaces; maximal position error; robustness measure; small curve coefficient perturbations; small surface coefficient perturbations; Computational geometry; Computer errors; Computer science; Level set; Polynomials; Robust stability; Robustness; Spline; Stability analysis; Surface fitting;
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
DOI :
10.1109/GMAP.2004.1290035
