WINTZ , Julien

The two fields of algebraic geometry and algorithmic geometry, though closely related, are traditionally represented by almost disjoint communities. Both fields deal with curves or surfaces but objects are represented in different ways. While algebraic geometry defines objects by the mean of equations, algorithmic geometry use to work with...

We overview a new method for computing the arrangement of semi-algebraic curves. A subdivision approach is used to compute the topology of the algebraic objects and to segment the boundary of regions defined by these objects. An efficient insertion technique is described, which detects regions in conflict and updates the underlying arrangement...

We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are guaranteed to be correct. Although we focus on the implicit case, the algorithm can also treat parametric or piecewise linear curves without much additional work and no...

In this study, we investigate the use of a modern software architecture in the context of CFD, which allows the user to interact with the computation, by modifying physical or numerical parameters during the computation and visualize the impact on the flow. Our objective is to evaluate the interest of such a software architecture and measure...

We describe the algebraic-geometric modeling platform Axl, which provides tools for the manipulation, computation and visualisation of semi-algebraic models. This includes meshes, basic geometric objects such as spheres, cylinders, cones, ellipsoids, torus, piecewise polynomial parameterisations of curves, surfaces or volumes such as b-spline...

This report reflects a cooperation between the Inria Project Team Acumes and the Information Processing and Systems Department (DTIS) of Onera Toulouse. We present a case study of prioritized multi-objective optimization of the flight performance of an Airbus-A320-type aircraft in terms of take-off fuel mass (f1), operational empty weight (f2)...

This report reflects a cooperation between the Inria Project Team Acumes and the Information Processing and Systems Department (DTIS) of Onera Toulouse. We present a case study of prioritized multi-objective optimization of the flight performance of an Airbus-A320-type aircraft in terms of take-off fuel mass (f1), operational empty weight (f2)...

We present an overview of the open source library synaps. We describe some of the representative algorithms of the library and illustrate them on some explicit computations, such as solving polynomials and computing geometric information on implicit curves and surfaces. Moreover, we describe the design and the techniques we have developed in...

This paper presents a reconstruction pipeline for recovering branching structure of trees from laser scanned data points. The process is made up of two main blocks: segmentation and reconstruction. Based on a variational k-means clustering algorithm, cylindrical components and ramified regions of data points are identified and located. An...