首先

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

We first obtained the algebraic structure when M band wavelet transform was performed to Toeplitz matrix.

首先研究了Toeplitz矩阵在多进制小波变换下的代数结构。

The process of converting the algebraic surface into the parametric surface is called parametrization , which has received much attention in recent years.

这种方法首先解决了基线扫描参数化方法中不能得到有理参数表达式的问题，给出了混合曲面的统一、低次的有理参数化。

The meaningful regions obtained by range image segmentation correspond to the surface patches of 3D object.The 3D surface patches are then reconstructed by the algebraic surface fitting method;the surface parameters are estimated by solving generalized eigenvector problem. The geometric model of 3D object is constructed from reconstructed surface patches by using CAD geometric modeling tool GEOMOD.

首先通过编码光栅方法获取三维物体的深度图象，并采用数学形态学的方法加以分割，然后利用代数曲面拟合手段对分割后的三维曲面片进行重建，并使用CAD几何建模工具由重建的曲面片构成物体的几何模型。

A new algebraic system X is constructed by using the known loop algebra 1 and difference operators.

首先利用环代数1和微分算子构建一种新的代数系统X。

First, based on the nonlinear differential algebraic model of power system, a dissipative Hamiltonian realization is proposed via pre-feedback control.

首先建立了系统的非线性微分代数方程模型，通过预置状态反馈完成了耗散Hamilton实现。

The first is based on the algebraically equivalent transformation to the standard centering equation xs=μe.

首先通过对中心化方程xs=μe实施代数等价变换，得到了新的不同的摄动方程组。

First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor.

首先， 这书相对初步，其次，，当关于学科的书的大部分被从algebraist或者一位几何学家观点来看写时，这本书被一种分析的味道写。

Open shower shower nozzle above all and move to the hottest, come the algidity of purify bathroom.

首先打开淋浴喷头并调至最热，来去除浴室的寒气。

In the area of face detection, there is knowledge based method, feature based method and model matched method, in which we mainly introduce the Adoboost algorism and ASM algorism.

首先对人脸检测和跟踪技术进行综述，在此基础上，介绍了多种人脸检测和跟踪的方法，比较了它们的优缺点。

And discuss some key point of integrated management system design, include hazard identification and risk assessment and risk control in the occupational health and safety management, the measure of satisfaction target of customer, the flawlessness of law system, the integration of the integrated management system and enterprise standardization system, unify lead institution and work orgnization, integreted internal audit and integrated management review.

同时，论述了一体化管理体系构建中的几个主要问题，包括职业健康安全管理中的危险源辨识、风险评价和风险控制、顾客满意度的科学监测、法律、法规体系的完善、一体化管理体系与企业标准化体系的有机结合、统一的领导机构和工作机构、一体化的内部审核和管理评审。

Deepwater Taranaki is investigated for its petroleum potential, using all available seismic data tied to shallow-water wells.

运用与浅水井相关的现有全部震波探测数据考察了深海区塔拉纳基盆地的油藏前景。