A new watermarking method for 3D model robust to geometric attacks is presented. The algorithm firstly uses average normal of the part with the obivious geometric feature in the 3D model to establish coordinate system, which is not affected by geometric attacks such as translation, rotation and scaling; Embed the watermarking information into the appropriate vertices selected according to area ...

several studies have been performed to evaluate the desertification in iran andother countries which led to present national and regional models. one of them is imdpamodel. this model was used as a case study in taraz nahid, saveh, iran. in this study, fivefactors including climate, soil, vegetation, irrigation, and socioeconomic ones wereevaluated. according to the region conditions for each c...

The paper studies the question of whether the classical mirror and synchronous couplings of two Brownian motions minimise and maximise, respectively, the coupling time of the corresponding geometric Brownian motions. We establish a characterisation of the optimality of the two couplings over any finite time horizon and show that, unlike in the case of Brownian motion, the optimality fails in ge...

Symmetry breaking caused by geometric fluctuations can enable processes that are otherwise forbidden. An example is a perylene bisimide dyad whose dipole moments are perpendicular to each other. Förster-type energy transfer is thus forbidden at the equilibrium geometry since the dipolar coupling vanishes. Yet, fluctuations of the geometric arrangement have been shown to induce finite energy tra...

Snake robots can contact their environments along their whole bodies. This distributed contact makes them versatile and robust locomotors, but also makes controlling them a challenging problem involving high-dimensional configuration spaces, with no direct way to break their motion down into “driving” and “steering” actions. In this paper, we use concepts from geometric mechanics—e.g., expanded...

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...

Highly accurate geometric correction is fundamental to the application of satellite images. In highly accurate geometric correction of remote sensing images for precise match to the base maps, the difficulties in capturing ground control points (GCPs), insufficient number of GCPs and low accuracy of the geo-referenced images remain to be frequent issues. In search for solutions to these issues,...

Desertification could be traced back to one or many factors. Thus, to cope with such a phenomenon, there exists a need for a profound understanding of the processes and the causes. The study area of the current paper is the extent of Shahrekord’s Marghzar as an important case amongst the important ones of the province. In order to evaluate the roots of desertification in the area, the Iranian m...

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...