5 citations · 15 across the 9 of their papers we have counts for
14 papers
An implicitization-based solution to the minimal 4s/6r ToA problem using Cayley--Menger determinants
Evgeniy Martyushev
The paper introduces an efficient algebraic solver for the 4-sender/6-receiver (4s/6r) Time-of-Arrival (ToA) self-localization problem, which involves determining the relative posi…
Forward kinematics of a general Stewart-Gough platform by elimination templates
Evgeniy Martyushev
The paper proposes an efficient algebraic solution to the problem of forward kinematics for a general Stewart-Gough platform. The problem involves determining all possible postures…
Automatic Solver Generator for Systems of Laurent Polynomial Equations
Evgeniy Martyushev, Snehal Bhayani, Tomas Pajdla
In computer vision applications, the following problem often arises: Given a family of (Laurent) polynomial systems with the same monomial structure but varying coefficients, find…
Optimizing Elimination Templates by Greedy Parameter Search
Evgeniy Martyushev, Jana Vrablikova, Tomas Pajdla
We propose a new method for constructing elimination templates for efficient polynomial system solving of minimal problems in structure from motion, image matching, and camera trac…
Relative Pose Estimation of Calibrated Cameras with Known Invariants
Bo Li, Evgeniy Martyushev, Gim Hee Lee
The invariants of a pose include its rotation angle and screw translation. In this paper, we present a complete comprehensive study of the relative pose estimation…
Necessary and Sufficient Polynomial Constraints on Compatible Triplets of Essential Matrices
E. V. Martyushev
The essential matrix incorporates relative rotation and translation parameters of two calibrated cameras. The well-known algebraic characterization of essential matrices, i.e. nece…