Inequalities for polars of mixed projection bodies

In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give their polars forms. Further, as applications of our methods, we give a generalization of Pythagorean inequality for mixed volumes.     

BERGMAN TYPE PROJECTIONS ON L^p SPACES

The paper is a survey on the action of Bergman type projections on various Lp on three types of holomorphic function spaces： weighted Bergman spaces, the Bloch spaces. The focus is space, and diagonal Besov spaces.     

离焦模糊图像中汉字识别技术研究

提出了辐射投影变换(RPT),给出了数学模型和实现方法以及相应的投影函数(RPTF)。为了进一步提高其性能,对原始投影变换进行了优化改进,即累加原始函数的值并作旋转变换,从而得到了改进投影累加函数(IPAF),它可直接用于离焦模糊图像中汉字的识别。将傅里叶变换应用到IPAF上,使描述和识别用的特征量大为减少。采用基于IPAF的傅里叶子(前8个傅里叶系数)作为特征量,对离焦模糊的一级汉字进行识别,总识别率达到了97 4%。     

Superconvergence and H(div) projection for discontinuous Galerkin methods

We introduce and analyse a projection of the discontinuous Galerkin (DG) velocity approximations that preserve the local mass conservation property. The projected velocities have the additional property of continuous normal component. Both theoretical and numerical convergence rates are obtained which show that the accuracy of the DG velocity field is maintained. Superconvergence properties of the DG methods are shown. Finally, numerical simulations of complicated flow and transport problem illustrate the benefits of the projection. Copyright © 2003 John Wiley & Sons, Ltd.     

相移法在光栅投影测量中的应用

利用双目CCD相机记录的光栅投影测量技术是一种新型的光学测量方法。为了获得高精度测量相位值，提出一种优化相位测量精度的相移方法。该方法通过投影相传递函数和投影光的光强函数计算相位值，并考虑了测量投影光非正弦、非周期性的影响，提高了投影光栅的条纹精度和相位精度，相位精度为像素级，通过插值可达到亚像素级。     

Projection with a Minimal System of Inequalities

Projection of a polyhedron involves the use of a cone whose extreme rays induce the inequalities defining the projection. These inequalities need not be facet defining. We introduce a transformation that produces a cone whose extreme rays induce facets of the projection.     

新疆维吾尔自治区斜轴等面积方位投影的研究

在本文中，通过研究已经出版发行的《新疆维吾尔自治区小比例尺地图投影》的各种变形特点及其存在的精度问题，并设计出一种精度较高，适合于新疆实际情况的投影－斜轴等面积方位投影。经过严格计算，得出本投影的数据，在此基础上系统地分析地分析它的长度变形，优点和缺点等问题，以供给制图生产部门使用或参考。     

DERIVATION AND ANALYSIS OF A NEW RECONSTRUCTION FORMULA FROM CONE-BEAM PROJECTIONS

A new method to compute the first derivative of 3-D Radon transform is given for cone-beam data taken from any orbit. Smith [Ⅰ1] and Grangeat [5] even derived cone-beam inversion formulas which are the basic work in fully 3-D image reconstruction algorithm and are used extensively now. In this paper we will give a new inversion formula and a simple necessary and sufficient condition which guarantees the complete reconstruction algorithm.     

Dealing with pressure: FEM solution strategies for the pressure in the time‐dependent Navier–Stokes equations

This paper presents a survey of solution methods for calculating the pressure in the time‐dependent Navier–Stokes equations. The primary focus is on the treatment of the pressure‐Poisson equation deriving from index‐1 DAE formulations of the Navier–Stokes equations. Based on extensive operational experience with a variety of solution strategies, the combination of a stabilized pressure‐Poisson operator with an A‐conjugate projection and SSOR preconditioned conjugate gradient method has been found to yield the overall best performance relative to the resolve cost of a high performance direct solver. Copyright © 2002 John Wiley & Sons, Ltd.