Project-Team:AROMATH

Project-Team Aromath

Team, Visitors, External Collaborators

Overall Objectives

Research Program

High order geometric modeling
Robust algebraic-geometric computation

Application Domains

Geometric modeling for Design and Manufacturing.
Geometric modeling for Numerical Simulation and Optimization

New Software and Platforms

Platforms

New Results

Solving Polynomial Systems via Truncated Normal Forms
On supersolvable and nearly supersolvable line arrangements
Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves
Invariant Algebraic Sets and Symmetrization of Polynomial Systems
Rational invariants of even ternary forms under the orthogonal group
Algorithms for Computing Cubatures Based on Moment Theory
Products of Euclidean Metrics and Applications to Proximity Questions among Curves
Efficient Random-Walk Methods for Approximating Polytope Volume
Randomized Embeddings with Slack and High-Dimensional Approximate Nearest Neighbor
Practical Volume Computation of Structured Convex Bodies, and an Application to Modeling Portfolio Dependencies and Financial Crises
On the maximal number of real embeddings of spatial minimally rigid graphs
Curved Optimal Delaunay Triangulation
Convolution surfaces with varying radius: Formulae for skeletons made of arcs of circles and line segments
Scaffolding a Skeleton with Quadrangular Tubes
Scaffolding skeletons using spherical Voronoi diagrams: feasibility, regularity and symmetry
Exact conversion from Bézier tetrahedra to Bézier hexahedra
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
A Classification Approach to Efficient Global Optimization in Presence of Non-Computable Domains
Compressions of a polycarbonate honeycomb
Modeling and Computation of a liquid-vapor bubble formation
Axl, a geometric modeler for semi-algebraic shapes

Partnerships and Cooperations

Regional Initiatives
European Initiatives
International Initiatives
International Research Visitors

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Publications of the year

Inria | Raweb 2018 | Presentation of the Project-Team AROMATH | AROMATH Web Site


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2018 Project-Team Activity Report

AROMATH

Algebre geometrie Modelisation et Algorithmes

Research centre: Sophia Antipolis - Méditerranée

In partnership with: National & Kapodistrian University of Athens

Field: Algorithmics, Programming, Software and Architecture
Theme: Algorithmics, Computer Algebra and Cryptology

Keywords:

Computer Science and Digital Science:

A5.5.1. - Geometrical modeling
A8.3. - Geometry, Topology
A8.4. - Computer Algebra

Other Research Topics and Application Domains:

B9.5.1. - Computer science
B9.5.2. - Mathematics