In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Her...

Let S be a set of n points in the plane, let E be the complete Euclidean graph whose point-set is S, and let G be the Delaunay triangulation of S. We present a very simple local algorithm that, given G, constructs a subgraph of G of degree at most 11 that is a geometric spanner of G with stretch factor 2.86, and hence a geometric spanner of E with stretch factor < 7. This algorithm gives an O(n...

‎In this paper first we define the morphism between geometric spaces in two different types‎. ‎We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎The relation between hypergroups and geometric spaces is studied‎. ‎By constructing the category $qh$ of $H_{v}$-groups we answer the question...

statement of problem: digital subtraction radiography (dsr) needs reproducible alignment between the x-ray source, the object, and the film for obtaining identical projections of the same anatomic region. purpose: the aim of this study was to evaluate the effect of bite registrations (placed on individual bite blocks) on the reproducibility of parallel periapical radiographs, obtained every 2 m...

geometric morphometric method was used to examine body shape variations among all the seven valid species of the genus alburnus in iran. in total 409 specimens of a. chalcoides, a. filippii, a. atropatenae, a. caeruleus, a. mossulensis, a. hohenackeri and a. zagrosensis were collected from babolrud, baleqlu-chai, miriseh, sarabeleh, gamasiyab, mahabad-chai rivers and the gandoman lagoon, respec...

landmark based geometric morphometrics and comparison of meristic characters was used to understand potential differences between populations of waspi in mashkil and mokran basins. 97 specimens of waspies were caught (64 from mashkil river and 33 from sarbaz river). 14 landmarks were digitized on pictures taken from left side of specimens and meristic characters were counted. data were analyzed...

Abstract A geometric decomposition previously adopted in areas of nonlinear continuum mechanics and soliton theory is applied to a two-dimensional time-independent magnetohydrodynamic system obtain reduction canonical third order equation subject constraint. Novel classes exact solutions the are thereby constructed. Connection made with kinematic conditions which attend certain steady motions f...

High-quality inner FoV (Field of View) stitching is currently a prerequisite step for photogrammetric processing and application of image data acquired by spaceborne TDI CCD cameras. After reviewing the technical development in the issue, we present an inner FoV stitching method based on sensor geometry and projection plane in object space, in which the geometric sensor model of spaceborne TDI ...