We present techniques for creating an approximate implicit representation of space curves and of surfaces of revolution. In both cases, the proposed techniques reduce the problem to that of implicitization of planar curves. For space curves, which are described as the intersection of two implicitly defined surfaces, we show how to generate an approximately orthogonalized implicit representation. In the case of surfaces of revolution, we address the problem of avoiding unwanted branches and singular points in the region of interest.
|Original language||English (US)|
|Title of host publication||Geometric Modeling and Algebraic Geometry|
|Publisher||Springer Berlin Heidelberg|
|Number of pages||13|
|State||Published - 2008|
ASJC Scopus subject areas