73 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- St Petersburg UniversityRU8 papers
- Ilia State UniversityGE5 papers
- Utrecht UniversityNL5 papers
- Dalian University of TechnologyCN1 paper
- Peter the Great St. Petersburg Polytechnic UniversityRU1 paper
- Smith CollegeUS1 paper
- St. Petersburg Department of Steklov Institute of MathematicsRU1 paper
- Tampere University of TechnologyFI1 paper
- Tbilisi State UniversityGE1 paper
14 papers
Product of three octonions
Mikhail Kharinov
This paper is devoted to octonions that are the eight-dimensional hypercomplex numbers characterized by multiplicative non-associativity. The decomposition of the product of three…
Reversible Image Merging for Low-level Machine Vision
Mikhail Kharinov
In this paper a hierarchical model for pixel clustering and image segmentation is developed. In the model an image is hierarchically structured. The original image is treated as a…
Equilibria of three constrained point charges
G. Khimshiashvili, G. Panina, D. Siersma
We study the critical points of Coulomb energy considered as a function on configuration spaces associated with certain geometric constraints. Two settings of such kind are discuss…
Point Charges and Polygonal Linkages
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma +1
We investigate the critical points of Coulomb potential of point charges placed at the vertices of a planar polygonal linkage. It is shown that, for a collection of positive charge…
Equilibria of point charges on convex curves
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
We study the equilibrium positions of three points on a convex curve under influence of the Coulomb potential. We identify these positions as orthotripods, three points on the curv…
Large Scale (~25 m^2) metal diffraction grating of submicron period as possible optoelectronic detector for short scalar gravitational waves
Valery A. Zhukov
A method of detecting of short scalar gravitational waves with a wavelength of ~ 0.5 micrometers is proposed, in contrast to LIGO Project, aimed at detecting of long quadrupole gra…
Evaluating IEEE 802.15.4 for Cyber-Physical Systems
Feng Xia, Alexey Vinel, Ruixia Gao +2
With rapid advancements in sensing, networking, and computing technologies, recent years have witnessed the emergence of cyber-physical systems (CPS) in a broad range of applicatio…
Simple game induced manifolds
Pavel Galashin, Gaiane Panina
Starting by a simple game as a combinatorial data, we build up a cell complex , whose construction resembles combinatorics of the permutohedron. The cell complex proves…
Coulomb control of polygonal linkages
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
Equilibria of polygonal linkage with respect to Coulomb potential of point charges placed at the vertices of linkage are considered. It is proved that any convex configuration of a…
Critical configurations of planar robot arms
G. Khimshiashvili, G. Panina, D. Siersma +1
It is known that a closed polygon P is a critical point of the oriented area function if and only if P is a cyclic polygon, that is, can be inscribed in a circle. Moreover, the…
Morse index of a cyclic polygon
Gaiane Panina, Alena Zhukova
It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper, we announce an explicit formula of the Morse ind…
Flattening single-vertex origami: the non-expansive case
Gaiane Panina, Ileana Streinu
A single-vertex origami is a piece of paper with straight-line rays called creases emanating from a fold vertex placed in its interior or on its boundary. The Single-Vertex Origami…
Geometric information in eight dimensions vs. quantum information
Victor I. Tarkhanov, Michael M. Nesterov
Complementary idempotent paravectors and their ordered compositions, are used to represent multivector basis elements of geometric Clifford algebra for 3D Euclidean space as the st…
A new look at the Burnside-Schur theorem
Sergei Evdokimov, Ilia Ponomarenko
The famous Burnside-Schur theorem states that every primitive finite permutation group containing a regular cyclic subgroup is either 2-transitive or isomorphic to a subgroup of a…