Eric Berberich

发表

Exact Computation of Arrangements of Rotated Conics

Nicola Wolpert, Manuel Caroli, Eric Berberich, 2007 .

Sweeping and Maintaining Two-Dimensional Arrangements on Surfaces: A First Step

Kurt Mehlhorn, Dan Halperin, Ron Wein, 2007, ESA.

Definition of File Format for Benchmark Instances for Arrangements of Quadrics

Lutz Kettner, Eric Berberich, Franziska Ebert, 2006 .

An efficient algorithm for the stratification and triangulation of an algebraic surface

Michael Sagraloff, Michael Kerber, Eric Berberich, 2010, Comput. Geom..

Specification of the Traits Classes for CGAL Arrangements of Curves

Monique Teillaud, Dan Halperin, Lutz Kettner, 2003 .

A generic algebraic kernel for non-linear geometric applications

Michael Kerber, Michael Hemmer, Eric Berberich, 2011, SoCG '11.

Project number IST-006413 ACS Algorithms for Complex Shapes with Certified Numerics and Topology Sweeping and Maintaining Two-dimensional Arrangements on Quadrics

Kurt Mehlhorn, Dan Halperin, Ron Wein, 2007 .

An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks pdf

Michael Sagraloff, Eric Berberich, Pavel Emeliyanenko, 2010, ALENEX.

An empirical comparison of software for constructing arrangements of curved arcs

Kurt Mehlhorn, Sylvain Pion, Elmar Schömer, 2004 .

An Exact, Complete and Efficient Implementation for Computing Planar Maps of Quadric Intersection Curves *

Elmar Schömer, Lutz Kettner, Nicola Wolpert, 2005 .

Revision of interface specification of algebraic kernel

Monique Teillaud, Menelaos I. Karavelas, Michael Hemmer, 2007 .

Deconstructing Approximate Offsets

Dan Halperin, Michael Kerber, Eric Berberich, 2012, Discrete & Computational Geometry.

Prototype Implementation of the Algebraic Kernel

Sylvain Pion, Monique Teillaud, Menelaos I. Karavelas, 2008 .

Arrangements on Parametric Surfaces I: General Framework and Infrastructure

Kurt Mehlhorn, Dan Halperin, Ron Wein, 2010, Math. Comput. Sci..

Robustly and Efficiently Computing Algebraic Curves and Surfaces

Eric Berberich, Eric Berberich, 2014, ICMS.

ACS Algorithms for Complex Shapes with Certified Numerics and Topology A Generic and Flexible Framework for the Geometrical and Topological Analysis of ( Algebraic ) Surfaces

Michael Sagraloff, Eric Berberich, Michael Sagraloff, 2008 .

Web-site with Benchmark Instances for Planar Curve Arrangements

Lutz Kettner, Efi Fogel, Eric Berberich, 2006 .

Arrangements on Parametric Surfaces II: Concretizations and Applications

Dan Halperin, Michael Kerber, Efi Fogel, 2010, Math. Comput. Sci..

Arrangement computation for planar algebraic curves pdf

Michael Sagraloff, Eric Berberich, Pavel Emeliyanenko, 2011, SNC '11.

Exact symbolic-numeric computation of planar algebraic curves

Michael Sagraloff, Eric Berberich, Pavel Emeliyanenko, 2012, Theor. Comput. Sci..

A Computational Basis for Conic Arcs and Boolean Operations on Conic Polygons

Kurt Mehlhorn, Elmar Schömer, Michael Hemmer, 2002, ESA.

Deconstructing Approximate Offsets

Dan Halperin, Michael Kerber, Eric Berberich, 2012, Discret. Comput. Geom..

Effective Computational Geometry for Curves and Surfaces

Kurt Mehlhorn, Elmar Schömer, Lutz Kettner, 2005 .

A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces

Michael Sagraloff, Eric Berberich, Michael Sagraloff, 2008, SPM '08.

Computing Envelopes of Quadrics

Eric Berberich, Michal Meyerovitch, Michal Meyerovitch, 2007 .

Visualizing Arcs of Implicit Algebraic Curves, Exactly and Fast

Michael Sagraloff, Eric Berberich, Pavel Emeliyanenko, 2009, ISVC.

Robust and efficient software for problems in 2.5-dimensional non-linear geometry: algorithms and implementations

Eric Berberich, 2008 .

CGAL - Reliable Geometric Computing for Academia and Industry

Eric Berberich, 2014, ICMS.

Chapter 8. Experiments

Matthias Hagen, Hannes Moser, Benjamin Hiller, 2010 .

Implementation Aspects

Eric Berberich, Tobias Tscheuschner, Sven Scholz, 2010, Algorithm Engineering.

Updated Website to include Benchmark Instances for Arrangements of Quadrics and Planar Algebraic Curves

Andreas Meyer, Efi Fogel, Eric Berberich, 2007 .

Exact arrangements on tori and Dupin cyclides

Michael Kerber, Eric Berberich, Michael Kerber, 2008, SPM '08.

Exact geometric-topological analysis of algebraic surfaces

Michael Sagraloff, Michael Kerber, Eric Berberich, 2008, SCG '08.

Linear-Time Reordering in a Sweep-line Algorithm for Algebraic Curves Intersecting in a Common Point

Lutz Kettner, Eric Berberich, Lutz Kettner, 2007 .

ExactGeometric-TopologicalAnalysisof AlgebraicSurfaces

Michael Sagraloff, Michael Kerber, Eric Berberich, 2008 .