As demonstrated in our work [Huang et al. 2006] fracture surfaces of broken solids contain rich geometric information that are sufficient for reassembly based on geometric matching. However, the task of reassembling an ancient monument from its building blocks differs significantly from that of reassembling a broken solid. These building blocks are fragments in a much looser sense as opposing faces of neighboring stones do not contain the rich geometric features of fracture surfaces. The contribution of the present work is an algorithm for automatic reassembly of ancient monuments guided by high-level adjacent features such as edges, clamp holes, or ornaments. The data we use to test our new method comprises the remaining stones of the Octagon (Fig. 1, top, right) monument in Ephesos, Turkey, which fell apart a thousand years ago and whose reconstruction is currently undertaken.
In the case of monodisperse dilute systems it is possible to calculate the distance distribution function for homogeneous and inhomogeneous particles of arbitrary shape. The distance distribution function enables one to find a rough classification of the shape and to determine the size of the particle. This function can be deconvoluted to the radial polarization density profile for particles with spherical symmetry. A number, mass or intensity distribution can be calculated from the light scattering data, if the distribution can be described by a single parameter and if it is possible to calculate the shape factor of the particles as it is the case for spheres and spheroids. The range of applicability of the method depends on the experimental set-up, but is in most cases in the size range from 100 nanometers to several microns.
Low-noise amplification of high-power pulses in multimode erbium/ytterbium-doped fibers is demonstrated. The use of multimode fiber amplifiers allows to overcome the peak power limitations of single-mode amplifiers. As a result femtosecond pulses can be efficiently amplified to peak powers >50 kW in a high-power chirped pulse amplification system using chirped PPLN for frequency-doubling. With an average power level of 1.2 W at the fundamental wavelength of 1.55-μm average powers up to 420 mW are generated at 775 mm.
