In this paper, a novel Patch Geodesic Derivative Pattern (PGDP) describing the texture map of a face through its shape data is proposed. Geodesic adjusted textures are encoded into derivative patterns for similarity measurement between two 3D images with different pose and expression variations. An extensive experimental investigation is conducted using the publicly available Bosphorus and BU-3...

the main purpose of this article is to draw the map of the discipline of public administration. due to the heuristic nature of the research and also regarding the fact that the investigation is a uni-variable study, the research does not require any hypothesis. the main question of the present research is: ‘based on the scientific articles of “isi” covering the years 2000 to 2010, how feasible ...

We consider definably compact groups in an o-minimal expansion of a real closed field. It is known that to each such group G is associated a natural exact sequence 1→ G00 → G → G/G00 → 1 where G00 is the “infinitesimal subgroup” of G and G/G00 is a compact real Lie group. We show that given a connected open subset U of G/G00 there is a canonical isomorphism between the fundamental group of U an...

In this paper we find all solvable groups that act effectively on the circle as realanalytic diffeomorphisms, and we find all of their actions. Our starting point is the procedure of ramified lifting of group actions with a global fixed point, which we develop in Section 1. To summarize the discussion there, we say that a real analytic map π : S → S is a ramified covering map over p ∈ S if the ...

Suppose that G is a sheaf of groups on a space X and that Uα ⊂ X is an open covering. Then a cocycle for the covering is traditionally defined to be a family of elements gαβ ∈ G(Uα ∩ Uβ) such that gαα = e and gαβgβγ = gαγ when all elements are restricted to the group G(Uα ∩ Uβ ∩ Uγ). A more compact way of saying this is to assert that such a cocycle is a map of simplicial sheaves C(U)→ BG on th...

The goal of this paper is to describe all closed, aspherical Riemannian manifolds M whose universal covers M̃ have have a nontrivial amount of symmetry. By this we mean that Isom(M̃) is not discrete. By the well-known theorem of Myers-Steenrod [MS], this condition is equivalent to [Isom(M̃) : π1(M)] = ∞. Also note that if any cover of M has a nondiscrete isometry group, then so does its universal ...

Urban planning is a very important issue to guarantee the sustainable development of modern towns. Many aspects must be considered and one of the most important is the population growth. Having a correct control of this phenomenon it is possible to focus the efforts, resources and investments in the right direction. To anticipate the facts and as a consequence predict the advantages and problem...

We propose a categorical framework for bisimulations and unfoldings that unifies the classical approach from Joyal and al. via open maps and unfoldings. This is based on a notion of categories accessible with respect to a subcategory of path shapes, i.e., for which one can define a nice notion of trees as glueings of paths. We show that transition systems and presheaf models are instances of ou...

For continuous maps on the interval with finitely many monotonicity intervals, the kneading theory developed by Milnor and Thurston [1988] gives a symbolic description of the dynamics of these maps. This description is given in terms of the kneading invariants which essentially consist of the symbolic orbits of the turning points of the map under consideration. Moreover, this theory also gives ...