参数化的

The method involves an iterative procedure, which incrementally flattens a 3D triangular mesh by region growing and obtains a parameterization with free boundary. The result is then converted to a parameterization with regular boundary by conformal mapping. Our method accounts for both the angle and area distortion during parameterization, it yields a parameterization with less global distortion and no triangular flipping.

采用区域增长算法逐层展平空间三角网格，得到空间三角网格曲面的自由边界的参数化结果，并利用保形变换将自由边界的参数化结果变换为规则边界的参数化结果；同时兼顾了参数化的角度变形和面积变形，使得参数化结果具有整体变形较小的特点，并能够避免三角形折叠的现象。

Based on the summarizing of the exiting algorithms of the texture mapping and antialiasing, this paper goes deeply into the basic theory and processing of texture mapping. The texture compress algorithm which can satisfy the need of the memory and time is given for the stochastic sampling in the inverse texture mapping; the geometry transformation in the texture mapping are discussed and the concepts of the unitary parametrization and the patch parametrization is proposed, some kinds of the unitary parametrization methods of parametric surfaces and the geometry transformation in the patch parametrization are also presented; in order to solve the aliasing in the parametrization of intermediate surface-sphere in two-part texture mapping, an area-preserving transformation is presented also; to improve the quality of the graph the aliasing in the texture mapping is analyzed from the aspect of signal process, and the modified summed-area tables algorithms is proposed; the distortion of the scanline conversion algorithms under perspective transformation is analyzed and the proper interpolation algorithm is presented so the aliasing problem of the polyhedral object after the unitary parametrization is efficiently solved.

本文在总结现有的纹理映射和反走样算法的基础上，深入研究了纹理映射的基本原理与过程，根据反向纹理映射对纹理随机采样的特殊要求，提出了一种可满足存储空间和寻址时间的纹理压缩存储算法；通过对纹理映射中几何变换理论的进一步深入探讨，提出了整体参数化和面片参数化的概念，并给出了参数化曲面的各种整体参数化方法和面片参数化的几何变换形式；针对现有的两步映射算法所存在的中间曲面—球面的参数化问题，提出一种等积映射方法，较好地实现了由非参数化面片拼接而成的多面体表面的纹理映射；从信号采样的角度深入分析了纹理映射中走样产生的原因，提出了改进的区域求和表算法，使图形生成的效果有所提高；还分析了一般的扫描线算法在透视变换中所存在的问题，提出了一种正确的插值算法，从而解决了整体参数化后多面体表面纹理映射的几何变形问题。

As the parameters are numerous in non-rigid registration model, the particle swarm optimization algorithm is selected to achieve exploration and exploitation in the whole feasible space accurately and fleetly for the unknown parameters of nonrigid transformation. Particle swarm optimization algorithm has the characteristic of fast global searching for the optimal, but it is restricted in applications by the inclination of its particles falling into premature convergence.

在非刚性图像配准的框架下，提出应用Wendland紧支径向基函数作为参数化的空间变换模型，并针对非刚性配准模型的未知参数量大的问题，提出应用全局化的粒子群优化算法对整个可行性空间进行快速而准确的探索和挖掘，以求得非刚性变形的未知参数。

Many IP based SOC design approaches focus on mapping an application onto a previously designed complex SOC architecture built from an existing IP by configuring and extending the architecture, representing a configure and execute methodology.

这种方法是从一个预设计的参数化SOC体系结构出发，以参数化的IP核为组件，通过编写代码、设置参数的方式，对可编程的IP核进行配置以实现设计，通过模拟器仿真执行以完成功能验证，最后产生物理芯片。由于IP核的多样性及其可优化参数的矛盾性，使得SOC的设计空间极其复杂。

Based on the parametric design of fair curve,the parametric design method of hull form is presented in the paper.

基于光顺曲线的参数化设计，提出了参数化的船型设计方法。

Construction of parametric model and parametric optimization model for the future design of other parameters laid the foundation of CAD systems.

构建了参数化的模型以及参数化的优化模型，为以后设计其他参数化CAD系统奠定了基础。

By introducing a parametric canonical transformation,Hamiltonian constraintequation in SO(3)ADM phase space is transformed into the parametric formin the Ashtekar phase space.

本文中提出了一个参数化的正则变换，将Palatini理论中SO(3)ADM相空间中的哈密顿约束方程变换到阿西特卡相空间，由此导出参数化的约束方程。

This paper presents a novel image retargeting method using saliency-based mesh parameterization. Specifically, this paper formulates retargeting an image to desired size as a constrained mesh parameterization problem which aims at finding a homomorphous target mesh with desired size.

提出一种全新的基于网格参数化的图像适应方法，该方法的关键在于把图像表示为特征网格，从而将图像适应问题转化为网格的参数化，即求取一个与该特征网格同拓扑，且具有目标屏幕尺寸的网格。

Then we introduce the parametrization of the equation of state of the dark energy and the reconstructions of three dark energy models - quintessence field, k-essence field, tachyon field.

然后介绍了暗能量物态方程的参数化以及利用参数化的物态方程重建的三个暗能量模型-quintessence模型、k-essence模型、tachyon模型。

The modeling of the rolling forging dies is different from that of the other numerical simulation. It belongs to the typically free form face modeling.lt easy give birth to unparameters in modeling, which makes boole operation fail. So we model the rolling forging dies with power-function UG and bring forward the ideal modeling methods.

前轴辊锻模的建模不同与其它数值模拟建模，它属于典型复杂曲面建模，在建模过程中常常出现非参数化的情况，导致布尔运算失败，针对这种问题采用功能强大的UG进行参数化建模，提出了理想的建模手段。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新