Rodríguez, Mariano Facciolo, Gabriele Morel, Jean-Michel
The corresponding point coordinates determined by classic image matching approaches define local zero-order approximations of the global mapping between two images. But the patches around keypoints typically contain more information, which may be exploited to obtain a firstorder approximation of the mapping, incorporating local affine maps between ...
Campbell, Olivia Vanderwal, Tamara Weber, Alexander Mark
Published in
Frontiers in Physiology
Background: Temporal fractals are characterized by prominent scale-invariance and self-similarity across time scales. Monofractal analysis quantifies this scaling behavior in a single parameter, the Hurst exponent (H). Higher H reflects greater correlation in the signal structure, which is taken as being more fractal. Previous fMRI studies have obs...
Kharuk, I. V.
Published in
Theoretical and Mathematical Physics
Abstract We introduce a novel model of affine gravity, which implements the no-scale scenario. Namely, the Planck mass and Hubble constant emerge dynamically in our model, through the mechanism of spontaneous breaking of scale invariance. This naturally gives rise to inflation, thus introducing a new inflationary mechanism. Moreover, the time direc...
Bogoyavlenskij, Oleg
Published in
Zeitschrift für Naturforschung A
Exact flows of an incompressible fluid satisfying the Beltrami equation inside a spherical shell are constructed in the Cartesian coordinates in terms of elementary functions. Two scale-invariant equations defining two infinite series of eigenvalues λ n and λ ̃ m ${\tilde {\lambda }}_{m}$ of the operator curl in the shell with the nonpenetration bo...
Knapen, Stefan E Li, Peng Riemersma-van der Lek, Rixt F Verkooijen, Sanne Boks, Marco P M Schoevers, Robert A Scheer, Frank A J L Hu, Kun
Published in
Psychological medicine
The output of many healthy physiological systems displays fractal fluctuations with self-similar temporal structures. Altered fractal patterns are associated with pathological conditions. There is evidence that patients with bipolar disorder have altered daily behaviors. To test whether fractal patterns in motor activity are altered in patients wit...
Jansson, Ylva Lindeberg, Tony
The ability to handle large scale variations is crucial for many real world visual tasks. A straightforward approach for handling scale in a deep network is to process an image at several scales simultaneously in a set of scale channels. Scale invariance can then, in principle, be achieved by using weight sharing between the scale channels together...
Pradhan, Punyabrata
Published in
Frontiers in Physics
Bak, Tang, and Wiesenfeld (BTW) proposed the theory of self-organized criticality (SOC), and sandpile models, to connect “1/f” noise, observed in systems in a diverse natural setting, to the fractal spatial structure. We review some of the existing works on the problem of characterizing time-dependent properties of sandpiles and try to explore if t...
Mangalam, Madhur Kelty-Stephen, Damian G
Published in
Journal of the Royal Society, Interface
Quiet standing exhibits strongly intermittent variability that has inspired at least two interpretations. First, variability can be intermittent through the alternating engagement and disengagement of complementary control processes at distinct scales. A second and perhaps deeper way to interpret this intermittency is through the possibility that p...
Lebyodkin, M.A. Lebedkina, Tatiana
This chapter presents a review of investigations into the complexity of the plastic flow associated with the Portevin-Le Chateliereffect, or jerky flow, in traditional alloys that have basic elements determining the crystal lattice of the material. The main accent is put onthe illustration of the state-of-the art of this research under the angle of...
Buendía, Victor di Santo, Serena Bonachela, Juan A. Muñoz, Miguel A.
Published in
Frontiers in Physics
Scale-free outbursts of activity are commonly observed in physical, geological, and biological systems. The idea of self-organized criticality (SOC), introduced back in 1987 by Bak, Tang, and Wiesenfeld suggests that, under certain circumstances, natural systems can seemingly self-tune to a critical state with its concomitant power-laws and scaling...