in this note we are going to survey several invariants of finite groups related either to their orders or to generating sets or to lattices of subgroups. some relations among these invariants will be exhibited. special attention will be paid to monotonicity of them.

Occlusions provide critical cues about the 3D structure of man-made and natural scenes. We present a mathematical framework and algorithm to detect and localize occlusions in image sequences of scenes that include deforming objects. Our occlusion detector works under far weaker assumptions than other detectors. We prove that occlusions in deforming scenes occur when certain well-defined local t...

we give sharp upper bounds on the zagreb indices and lower bounds on the zagreb coindices of chemical trees and characterize the case of equality for each of these topological invariants.

This paper describes a novel method to measure the differential invariants of the image velocity field from the integral of normal image velocities around image contours. This is equivalent to measuring the temporal changes in the area of a closed contour. This avoids having to recover a dense image velocity field and taking partial derivatives. It also does not require point or line correspond...

This paper presents a technique to enable deformable regions to be matched using image databases based on the information provided by the differential invariants of local histograms for the key-region. We shall show how this technique is robust enough to deal with local deformations, viewpoint changes, lighting changes, large motions of the tracked object and small changes in image rotation and...

an attempt has been made to explore the general trends in the seismic response of planasymmetric structures when subjected to near-fault and far-fault ground motions. systems with structural wall elements in both orthogonal directions considering actual and common nonlinear behavior under bi-directional excitation were studied. idealized single-storey models with uni-axial eccentricity were emp...

We give sharp upper bounds on the Zagreb indices and lower bounds on the Zagreb coindices of chemical trees and characterize the case of equality for each of these topological invariants.

We present an overview of our recent methodology for modeling humans that is based on the use of computer vision methods to analyze human motion and extract invariants of the motion in a parameterized way that captures the nature of this motion. This basic parameterized motion can then be altered based on additional user input in the form of parameters to create a wide variety of human motions....

When observers move through an environment, they are immersed in a sea of motions that guide their further movements. The horizontal relative motions of all possible pairs of stationary objects fall into three classes: They converge, diverge and slow down, or diverge with increasing velocity. Conjoined with ordinal depth information, the first two motions reveal nominal invariants, constraining...

The current study is part of a larger project aiming at offering intuitive mappings for the control of synthesis models by semantic descriptions of sounds, i.e. simple verbal labels related to various feelings, emotions, gestures or motions. Hence, this work is directly related to the general problem of semiotics of sounds. We here put a special interest in sounds evoking different perceived mo...