DocumentCode
2863380
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
fYear
2004
fDate
2004
Firstpage
131
Lastpage
140
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN
0-7695-2078-2
Type
conf
DOI
10.1109/GMAP.2004.1290035
Filename
1290035
Link To Document