The automatic detection of bilateral symmetry is a challenging task in computer vision and pattern recognition. This paper presents an approach for the detection of bilateral symmetry in digital single object images. Our method relies on the extraction of Scale Invariant Feature Transform (SIFT) based feature points, which serves as the basis for the ascertainment of the centroid of the object;...

Correctly propagating waves from overhanging reflectors is crucial for imaging in complex geology. This type of reflections are difficult or impossible to use in imaging using one-way downward continuation, because they violate an intrinsic assumption of this imaging method, i.e. vertical upward propagation of reflection data. Riemannian wavefield extrapolation is one of the techniques develope...

Spatio-temporal phenomena used to be represented in Cartesian Coordinate Systems, and time is perceived linear. This way of representing time may not be appropriate for representing and analysing some types of natural and human phenomena, which occur in time cycles. This paper thus proposes the use of polar coordinate systems. Polar angles are used to represent time, which can be clock time at ...

General strategy for developing finite elements of general geometric shape explained on quadrilateral folded plate structure element ensuring invariance properties is presented in this paper. The basic idea of this strategy consists in using the natural coordinate system only for defining the element geometry and performing the element integration in a mapped biunit square. For defining the app...

Partial differential equations (PDEs) play an important role in describing many physical, industrial, and biological processes. Their solutions could be considerably facilitated by using appropriate coordinate transformations. There are many coordinate systems besides the well-known Cartesian, polar, and spherical coordinates. In this article, we illustrate how to make such transformations usin...

Abstract In this paper, a risk sensitive estimator based on cubature quadrature Kalman filter is formulated and applied for tracking ballistic object during its re-entry phase. The algorithm named here as filter. process model measurement two dimensional target motion described. expression noise covariance derived Cartesian coordinate from polar coordinate. Also initial error derived. performan...

Aims. We extend our framework for 3D radiative transfer calculations with a non-local operator splitting methods along (full) characteristics to spherical and cylindrical coordinate systems. These coordinate systems are better suited to a number of physical problems than Cartesian coordinates. Methods. The scattering problem for line transfer is solved via means of an operator splitting (OS) te...