Fractal interpolation was adopted in the algorithms of image affine transform to avoid blurring the contour and degradation of image, while edge detector is used to extract the image edge contour Different interpolation methods were applied to the edge and smooth region Several numerical results for medical and scenical image show that the algorithm is effective and simple to implement

from 1MeV to 20MeV,which is smooth region,9 sets of data were choosen and fitted with orthogonal polynomial, and the fit values were taken as recommended data.

It combined the technology of image smooth, region segmentation and threshold segmentation and picked up the object auto. It has high speed and high veracity in program.

The smooth region (<3°) accounts for 47.04% of the total area, the gentle slope region (3°~10°) accounts for 37.86% of the total area, the slow center slope region (10°~15°) accounts for 10.18%, the steep slope region (>15°) accounts for 4.92% of the total area.

The proposed method assigns the desired grid stretching over the smooth region during initial grid system generation and before grid adaptation is performed.

Its solution exhibits some novel features: an emergence of two explicit scales delineating the asymptotic regimes (Planck scale region and a smooth region of a quantum point oscillator).

This paper considers a fully practical piecewise linear finite element approximation of the Dirichlet problem for a second order self-adjoint elliptic equation,Au=f, in a smooth regionΩ?>amp;lt;?n (n=2 or 3) by the boundary penalty method.

For the smooth region we use the run length scanning and linear approximating.

On the basis of edge detecting, an image could be divided into the sensitized region and the smooth region.

Boundary properties of conformal mapping of piecewise smooth region and some embedding theorems of analytical functions are investigated. The results obtained from the author's MSP transforming lemmas can be used to derive many transforming theorems and indirect theorems of complex approximation theory as well as a means by which orthogonal series, Faber series, generalized Fekete interpolation variation method, etc., can be studied.

The turbulent structure in open channels and pipes is one of the basic problems in hydraulics, In this article special attention has been paid to analyze the flow structure close to the bed on the basis of stochastic theory of turbulent flow developed by the author. It is pointed out that the division of the flow regime into smooth, transition and rough depends on the fact whether the flow passing the roughness element is separated or not. When the Reynolds number is low (ν_*△/ν≤1.25), there is no separation...

The turbulent structure in open channels and pipes is one of the basic problems in hydraulics, In this article special attention has been paid to analyze the flow structure close to the bed on the basis of stochastic theory of turbulent flow developed by the author. It is pointed out that the division of the flow regime into smooth, transition and rough depends on the fact whether the flow passing the roughness element is separated or not. When the Reynolds number is low (ν_*△/ν≤1.25), there is no separation and turbulent flow is in the smooth region. As there is a partial separation. the turbulent flow would be in the trasition region. When the Reynolds number is high (ν_*△/ν≥100), there would be a complete separation and the turbulent flow would be in the rough region. The thickness α△ of separation layer and the velocity v_α at the top of the separation layer are given. By using these boundary conditions a universal velocity distribution law for all three regions is deduced. By integrating the velocity distribution formula over the cross-sectlonal area of circular pipe we can obtain the universal equation to determine the drag coefficient in all smooth, transition and rough regions. In the case of open channel flow an analogical universal drag coefficient formula can be obtained too. In such a way the well-known drag coefficient diagram of Nikuradse has been generalized in theory. All the theoretical formulas obtained are in good agreement with the experimental results reported by various investigators,

Experiments of a dilute salt-water/clay suspension compared with pure water have been made in an open channel of bottom coated with cement. Two kinds of fluid systems all were steady uniform and fully developed turbulent flow in the smooth region. The fluid surface slopes in the channel were measured for Reynolds numbers between 13,500 and 40,000, and the mean time velocity distributions in the core region of turbulent flow were measured by propeller current meter. For the clay suspensions, the results...

Experiments of a dilute salt-water/clay suspension compared with pure water have been made in an open channel of bottom coated with cement. Two kinds of fluid systems all were steady uniform and fully developed turbulent flow in the smooth region. The fluid surface slopes in the channel were measured for Reynolds numbers between 13,500 and 40,000, and the mean time velocity distributions in the core region of turbulent flow were measured by propeller current meter. For the clay suspensions, the results of measurements of the surface slopes and the mean time velocity distributions each and all show that phenomenon of turbulent drag reduction occurs within the ranges of experimental Rey- nolds numbers, The experiments also indicate that drag reduction rate of a dilute salt-water/clay suspension increases with an increasing a- mount of the salt concentration. Under this experimental conditions, the salt-water containing suspended clay particles exhibits a material of lower effective drag reduction in the turbulent flow.