in this research dft/b3lyp method has been employed to investigate the geometrical structures,relative stabilities, and electronic properties of cun (n=3–10) clusters for clarifying the effect of sizeon the properties. through a careful analysis of the successive binding energies, second-orderdifference of energy and the highest occupied-lowest unoccupied molecular orbital energy gaps as afunct...

The present article involves in evaluation and engineering judgment of various geometric configurations for highway interchanges by considering substantial parameters over the discretion process. The geometric, economical and architectural criteria as the fundamental indicators are divided into related sub-indicators and the total combinations of such sub-elements from the general criterion for...

Typical Structure-from-Motion systems spend major computational effort on geometric verification. Geometric verification recovers the epipolar geometry of two views for a moving camera by estimating a fundamental or essential matrix. The essential matrix describes the relative geometry for two views up to an unknown scale. Two-view triangulation or multi-model estimation approaches can reveal t...

Geometric constraint solving is a key issue in CAD, CAM and PLM. The systems of geometric constraints are today studied and decomposed with graph-based methods, before their numerical resolution. However, graph-based methods can detect only the simplest (called structural) dependences between constraints; they can not detect subtle dependences due to theorems. To overcome these limitations, thi...

A lattice of geometries is presented and compared for representing some geometrical aspects of the kinematic design of robot systems and subsystems Three geometries (set theory, topology and projective geometry) are briefly explored in more detail in the context of three geometric configurations in robotics (robot groupings, robot connectivities and robot motion sensor patterns).