SYMMETRY OVER CENTERS

Centers of Approximate Spherical Symmetry and Radial Symmetry Graphs

In this paper we propose the possible use of a new type of salient points we call CASS (Centers of Approximate Spherical Symmetry) that are extracted from the Multiscale Area Projection transform described in [GL12]. In particular, we show that it is possible to build graphs joining these points following maximal values of the MAPT (Radial Symmetry Graphs) and that these graphs can be used to e...

Sets with Several Centers of Symmetry

Let A be a finite subset of the group Z2. Let C = {c0, c1, . . . , cs−1} be a finite set of s distinct points in the plane. For every 0 ≤ i ≤ s− 1, we define Di = {a− a′ : a ∈ A, a′ ∈ A, a + a′ = 2ci} and Rs(A) = |D0 ∪D1 ∪ · · · ∪ Ds−1|. In [1, 2], we found the maximal value of Rs(A) in cases s = 1, s = 2 and s = 3 and studied the structure of A assuming that R3(A) is equal or close to its maxi...

Cloud Storage over Multiple Data Centers

0 Abstract The increasing popularity of cloud storage services has led many companies to migrate their data into clouds for high availability whilst saving infrastructure constructions. Within the last few years, the architectures of most major cloud storage providers have evolved from single data center to multiple data centers, across different geo-locations. This architecture help improve th...

The role of symmetry in determining perceived centers within shapes.

This study was designed to assess the effects of symmetry and plane of presentation on the determination of the perceptual center of flat figures. Experiment 1 demonstrates the existence of effects in improving center determination, both in the number of sides of the shape and in rotational and reflective symmetry (confounded in the experiment). Experiment 2 shows that the presentation plane ha...

Symmetry of Algebras over a Number Field