In this paper, the non-linear dynamic response of rectangular atomic force microscopy in tapping mode is considered. The effect of cantilever’s geometrical parameters (e.g., cantilever length, width, thickness, tip length and the angle between the cantilever and the sample's surface in liquid environment has been studied by taking into account the interaction forces. Results indicate that the r...

Given a foreground galaxy-density field or shear field, its cross-correlation with the shear field from a background population of source galaxies scales with the source redshift in a way that is specific to lensing. Such a source-scaling can be exploited to effectively measure geometrical distances as a function of redshift and thereby constrain dark energy properties, free of any assumptions ...

In the DLR department of optical information technology exists long experience and practical knowledge in geometrical calibration of opto-elctronical systems especially CCD-line scanners. An approved method is the single pixel illumination by collimated light. The accuracy of this method depends of the precision of the used goniometer and is in the order of 2 arcsec. The disadvantage of this me...

Resorting to classical techniques of Riemannian geometry we develop a geometrical method suitable to investigate the nonintegrability of geodesic flows and of natural Hamiltonian systems. Then we apply such method to the Anisotropic Kepler Problem (AKP) and we prove that it is not analytically integrable. AMS classification scheme numbers: 37J30, 37J15 Geometrical Obstruction to the Integrabili...

Point matching in multiple images is an open problem computer vision because of the numerous geometric transformations and photometric conditions that a pixel or point might exhibit set images. Over last two decades, different techniques have been proposed to address this problem. The most relevant are those explore analysis invariant features. Nonetheless, their main limitation all alone canno...