6 citations · 15 across the 9 of their papers we have counts for
12 papers
Singularity Analysis for the Perspective-Four and Five-Line Problems
Jorge García Fontán, Abhilash Nayak, Sébastien Briot +1
This paper deals with image-based visual servoing and pose estimation by observing four and five lines. Our main interest is to determine the relative configurations of the camera…
Optimized Gröbner basis algorithms for maximal determinantal ideals and critical point computations
Sriram Gopalakrishnan, Vincent Neiger, Mohab Safey El Din
Given polynomials and , all in for some field , we consider the problem of computing the critical points of the restriction of …
Solving parameter-dependent semi-algebraic systems
Louis Gaillard, Mohab Safey El Din
We consider systems of polynomial equations and inequalities in where and $\boldsymbol{y} = (y_1,…
Faster real root decision algorithm for symmetric polynomials
George Labahn, Cordian Riener, Mohab Safey El Din +2
In this paper, we consider the problem of deciding the existence of real solutions to a system of polynomial equations having real coefficients, and which are invariant under the a…
A Direttissimo Algorithm for Equidimensional Decomposition
Christian Eder, Pierre Lairez, Rafael Mohr +1
We describe a recursive algorithm that decomposes an algebraic set into locally closed equidimensional sets, i.e. sets which each have irreducible components of the same dimension.…
Fast Algorithms for Discrete Differential Equations
Alin Bostan, Hadrien Notarantonio, Mohab Safey El Din
Discrete Differential Equations (DDEs) are functional equations that relate polynomially a power series in with polynomial coefficients in a "catalytic" variable a…