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The application of the differential quadrature method based on a piecewise polynomial to the vibration analysis of geometrically nonlinear beams

Krowiak A.

Computer Assisted Mechanics and Engineering Sciences

2008

Vol. 15, No. 1

1-13

The paper deals with the application of the differential quadrature method based on a piecewise polynomial to the nonlinear vibration analysis of beams. The initial–boundary-value problem is solved to study the computational stability of the method. The results are compared with those, obtained by the conventional differential quadrature. The effects of the spline degree, the number of nodes and the distribution of sampling points on the convergence and stability is also presented. The nonlinear free vibration analysis is carried out to verify the accuracy of the method.

Structure-adaptive evaluation of additive noise level in images

Palenichka R. M., Ivasenko I. B.

Machine Graphics and Vision

1998

Vol. 7, No. 1/2

281-290

In the presented paper the problem of noise estimation is considered. The distinctive feature of the presented structural image model is the separate modeling of the object's planar shape as well as the image intensity function which is defined within the support regions of objects and for the background itself. For the intensity function model of the original image a piecewise polynominal model is assumed.