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- Samy Ait-Aoudia, Roland Jégou, Dominique Michelucci
- ArXiv
- 1993

Geometric modeling by constraints leads to large systems of algebraic equations. This paper studies bipartite graphs underlaid by systems of equations. It shows how these graphs make possible to… (More)

- Hervé Lamure, Dominique Michelucci
- Symposium on Solid Modeling and Applications
- 1995

Herv6 Lamure, Dominique Michelucci

- Dominique Michelucci, epartement Infa
- 1993

Making safe and consistent decisions is essential to geometric algorithms. Quite a few solutions to this problem have been suggested in the recent years, but they generally ask that drastic changes… (More)

- Hichem Barki, Lincong Fang, Dominique Michelucci, Sebti Foufou
- Computer-Aided Design
- 2016

You recklessly told your boss that solving a non-linear system of size n (n unknowns and n equations) requires a time proportional to n, as you were not very attentive during algorithmic complexity… (More)

- Dominique Michelucci, Sebti Foufou
- SM '04
- 2004

We use Cayley-Menger Determinants (CMDs) to obtain an intrinsic formulation of geometric constraints. First, we show that classical CMDs are very convenient to solve the Stewart platform problem.… (More)

- Mohand Ourabah Benouamer, P. Jaillon, Dominique Michelucci, Jean-Michel Moreau
- IEEE Symposium on Computer Arithmetic
- 1993

Systems based on exact arithmetic | as they are known in Symbolic Calculus or Computational Geometry | are very slow. In practical situations, very few computations need be performed exactly as… (More)

- Mohand Ourabah Benouamer, Dominique Michelucci
- Symposium on Solid Modeling and Applications
- 1997

Computing intersections between algebraic surfaces is an essential issue for Brep-based modellers, and a very difficult one. The more often, existing methods are not reliable, and reliable ones are… (More)

- Dominique Michelucci
- IEEE Symposium on Computer Arithmetic
- 1995

- Mohand Ourabah Benouamer, Dominique Michelucci, Bernard Péroche
- Solid Modeling and Applications
- 1993

A new bounda~ evaluation method is presetied It is based on error-free Boolean operations on polyhedral solids. We descn”be, in detail, art intersection atgorithm that handles on a straigi@orward… (More)

- Mohand Ourabah Benouamer, Dominique Michelucci, Bernard Péroche
- Computer-Aided Design
- 1994

A new boundary evaluation method is presented. It is based on error-free Boolean operations on polyhedral solids. W e describe, in detail, an intersection algorithm that handles, in a straightforward… (More)