GC
2011
Springer
12 years 8 months ago
2011
Springer
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
COMPGEOM
2011
ACM
12 years 8 months ago
2011
ACM
We report on a generic uni- and bivariate algebraic kernel that is publicly available with Cgal 3.7. It comprises complete, correct, though efficient state-of-the-art implementati...
CORR
2011
Springer
12 years 11 months ago
2011
Springer
We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
COMPUTING
2004
13 years 4 months ago
2004
We develop methods for the variational design of algebraic curves. Our approach is based on truly geometric fairness criteria, such as the elastic bending energy. In addition, we ...
SMA
2008
ACM
13 years 4 months ago
2008
ACM
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
IMAMS
2007
13 years 6 months ago
2007
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
NSF
1994
Springer
13 years 8 months ago
1994
Springer
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by polynomial relationships. Algebraic curves and surfaces having considerable adva...
ESA
2003
Springer
13 years 9 months ago
2003
Springer
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
ISVC
2009
Springer
13 years 11 months ago
2009
Springer
Given a Cylindrical Algebraic Decomposition of an implicit algebraic curve, visualizing distinct curve arcs is not as easy as it stands because, despite the absence of singularitie...
ECCV
2002
Springer
14 years 5 months ago
2002
Springer
The context of this work is lateral vehicle control using a camera as a sensor. A natural tool for controlling a vehicle is recursive filtering. The well-known Kalman fil...