In this paper we study the geometry of GIT configurations $n$ ordered points on $\mathbb{P}^1$ both from birational and biregular viewpoint. particular, prove that any extremal ray Mori cone effective curves quotient $(\mathbb{P}^1)^n//PGL(2)$, taken with symmetric polarization, is generated by a one dimensional boundary stratum moduli space. Furthermore, develop some technical machinery use to...

In feature-based simultaneous localization and mapping (SLAM), line features complement the sparsity of point features, making it possible to map surrounding environment structure. Existing approaches utilizing have primarily employed a measurement model that uses re-projection. However, direction vectors used in 3D process cannot be corrected because employs only lines’ normal Plücker coordina...

Let P be a set of n points in the plane. For a line L ⊂ R, we can project the points P orthogonally onto L, which we denote by πL(P ). Imagine that the line L is a graduated line, that is, a line decomposed into line segments (cells) of length one. For a cell c ⊂ L, let Pop(P, c) be the population of the cell c after the projection, that is Pop(P, c) = |{p ∈ P |πL(p) ∈ c}|. For a graduated line...

face expression recognition is useful for designing new interactive devices offering the possibility of new ways for human to interact with computer systems. in this paper we develop a facial expressions analysis and synthesis system. the analysis part of the system is based on the facial features extracted from facial feature points (ffp) in frontal image sequences. selected facial feature poi...

statement of problem: considering the importance of the occlusal plane orientation in complete denture prostheses, a study was conducted on the relationship between this plane with ala-tragus and camper’s lines in soft tissue among individuals with class iii malocclusion, in mashhad school of dentistry. purpose: the aim of the present study was to define the best soft tissue index by which the ...

we read with great interest the article published by hosseini et al. 1 in october issue of middle east journal of digestive diseases. briefly, in this article, authors concluded that furazolidone based therapeutic regimens (in moderate and even high-dose) were not preferable for first-line treatment against h. pylori infection among the northern population in iran. 1 altogether, some points we ...

Consider all planar walks, with positive unit steps (1, 0) and (0, 1), from the origin (0, 0) to a given point (a, b). Let L be the line joining the beginning to the end, i.e., the line b x a y = 0. Call the region below L "downtown," and the region above L "uptown," the line L being the border-line between downtown and uptown. Each such walk has a + b 1 points, not counting the endpoints. For ...