We consider the approximation properties of a class of bases defined on refined polygonal complexes. This class includes many bases used in geometric modeling for surfaces of arbitrary topology, subdivision surfaces in particular. We show that under moderately weak assumptions, the approximation rate of the bases in our class is no worse than the approximation rate of these bases restricted to ...

The main purpose of this paper consists of demonstrating advantages of using implicit filtering schemes (noncausal IIR filters, in the signal processing language) for some basic image processing and geometric modeling applications. In particular, applications of implicit filtering for curve subdivision, image filtering, estimating image derivatives, and deblurring Gaussian blur are considered.

A generalization of the exponentiated Weibull geometric model called the transmuted exponentiated Weibull geometric distribution is proposed and studied. It includes as special cases at least ten models. Some of its structural properties including order statistics, explicit expressions for the ordinary and incomplete moments and generating function are derived. The estimation of the model param...

Abstract The flexible beam theory is widely applied in engineering, due to that many engineering structures can be regarded as beam. For the under large rotation, researches have shown consideration of geometric nonlinearity necessary: deflection will erroneously larger or diverge without nonlinearity. reason lies on dynamic stiffening effect caused by rotation well studied already, however, mo...

We investigate the effects of geometric and material nonlinearities introduced by deformation on the linear dynamic response of two-dimensional phononic crystals. Our analysis not only shows that deformation can be effectively used to tune the band gaps and the directionality of the propagating waves, but also reveals how geometric and material nonlinearities contribute to the tunable response ...