The Heisenberg, interaction, and Schrödinger pictures of motion are considered in Lagrangian (canonical) quantum field theory. The equations of motion (for state vectors and field operators) are derived for arbitrary Lagrangians which are polynomial or convergent power series in field operators and their first derivatives. The general links between different time-dependent pictures of motion ar...

A 2-knot will be a 2-sphere embedded into R locally flatly. Although we cannot see a 2-knot directly with our eyes, there are several ways to visualize it. A motion picture is one of the ways. Roughly speaking, a motion picture is a CT scan (Computed Tomographic scan) of a 2-knot. It is a one-parameter family of slices of a 2-knot, that are 0or 1-dimensional objects in R. The n-twist-spun trefo...

Blotchy noise is one of the most common and visually annoying noises noticed in digitized black-and-white motion picture films. This work investigates presents a three-stage blotchy noise reduction scheme combining efforts of temporal median filtering and motioncompensated filtering after joint motion/noise detection. Implementation of each module of the scheme is discussed and finally performa...

Movie films are often damaged through ageing, chemical changes and contact with mechanical parts of a film projector. In this paper a method for the removal of scratches and undesirable lines in digitised film sequences is discussed. The method assumes the prior knowledge about the position and orientation of the scratches and utilises an iterative method to interpolate the affected pixels. The...

We examined three united atom models in light of their description of polyolefin dynamics and investigated the relative influence of various potentials on the resulting dynamics. Results were compared with a collection of experimental data on polyethylene, poly(ethylene-alt-propylene), polypropylene, and head-to-head polypropylene, including quasielastic neutron scattering measurements that we ...