3 citations · 6 across the 8 of their papers we have counts for
8 papers
Local Integrable Symmetries of Diffieties
François Ollivier, Yirmeyahu J. Kaminski
In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety m…
On the Equilibrium Locus of a Parameterized Dynamical System with Independent First Integrals
Yirmeyahu Kaminski, Pierre Lochak
For a family of dynamical systems with independent first integrals evolving in a compact region of an Euclidean space, we study the equilibrium locus. We show that under mi…
On The Geometry and Topology of Cayley Condition in Poncelet Porism for Triangles
Yirmeyahu Kaminski
This paper investigates the differential-geometric and topological properties of the Cayley condition in Poncelet porism for triangles, defined as the locus of pairs of non-degener…
Flat singularities of chained systems, illustrated with an aircraft model
Yirmeyahu J. Kaminski, François Ollivier
We consider flat differential control systems for which there exist flat outputs that are part of the state variables and study them using Jacobi bound. We introduce a notion of sa…
On Singularities of Flat Affine Systems With States and Controls
Yirmeyahu J. Kaminski, Jean Lévine, François Ollivier
We study the set of intrinsic singularities of flat affine systems with controls and states using the notion of Lie-Bäcklund atlas, previously introduced by the authors.…
Intrinsic and Apparent Singularities in Flat Differential Systems
Y. J. Kaminski, J. Levine, F. Ollivier
In this paper, we study the singularities of locally flat systems, motivated by the solution, if it exists, of the global motion planning problem for such systems, in the spirit of…
Equilibrium Locus of The Flow on Circular Networks of Cells
Yirmeyahu J. Kaminski
We perform a geometric study of the equilibrium locus of the flow that models the diffusion process over a circular network of cells. We prove that when considering the set of all…
General Deformations of Point Configurations Viewed By a Pinhole Model Camera
Yirmeyahu Kaminski, Michael Werman
This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points?…