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The dissertation focuses on methods of parametric representation and deformation control, initialization problems and global optimization of the objective functions of the deformable models and templates.

论文重点讨论了所提出的各类可变形模型及模板的参数化表示及其变形控制、模型及模板的初始化以及目标函数的最优化搜索方法。

The parametric representation of segment can be gained from quadratic patch and constrained equations with cubic patches.

利用二次曲面的参数形式，由三次曲面片可得到曲线的隐参数约束形式，从而得到曲线的参数形式。

In this paper, a parametric manufacturing knowledge representation model was proposed to address the issue of product configuration variation and manufacturing agility and to facilitate agile manufacturing execution control.

本文即针对产品的多样变异与生产制造的精敏快速议题，提出一参数化之制造工程知识的表达模型，以适切支援精敏快速生产之制造执行管控的运作。

With regard to CAD modeling in reverse engineering, some key techniques, including feature extraction from point cloud and parametric representation, are studied.

本文针对反求工程CAD建模路线：从点云提取特征曲面，再进行曲面参数化CAD造型过程中非常关键的步骤——特征提取进行了深入研究，着重研究了二次曲面特征的提取，并对点云中的全局特征约束优化技术进行了有益的探索。

The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches.

生成的曲面有一个4次参数多项式表示并且被表示成一个切平面连续的三角形Bézier片网。

Simultaneously, we study the existence problem of a special Weingarten rotation surface s in H_1~3(-1) and give all spacelike and timelike Weingarten rotation surface sin H_1~3(-1) using the parametric representation of rotation surfaces.

同时研究了H_1~3(-1)中一类特殊的Weingarten 旋转曲面的存在性问题，并利用曲面的参数表示，给出了H_1~3(-1)中所有的类空和类时Weingarten 旋转曲面的表示。

Combining optimal techniques and the parametric representation of GIWs, the fifth and sixth chapters study the optimal designs of the regularity and the redundancy degrees, respectively.

把优化方法与广义内插小波的参数化相接合，第五、六章分别研究了正则度、冗余度的优化设计。

Simultaneously, we study the existence problem of a special Weingarten rotation surfaces in H_1~3(-1) and give all spacelike and timelike Weingarten rotation surfacesin H_1~3(-1) using the parametric representation of rotation surfaces.

同时研究了H_1~3(-1)中一类特殊的Weingarten旋转曲面的存在性问题，并利用曲面的参数表示，给出了H_1~3(-1)中所有的类空和类时Weingarten旋转曲面的表示。

Substitute surface conception was introduced in the tolerance modeling. Intrinsic deviation between the substitute surface and the theoretical surface was described by vector function on the basis of the vector parametric representation of the theoretical surface.

引入替代表面的概念，基于理论表面矢量参数化表示，用矢函数来描述替代表面和理论表面之间的本质特征偏差。

The quadratic patches is fixed,and its parametric representation method is gained.The cubic patches reduce to three local factors through reducing Bernstein coefficients to control shape of curve,two of them are used to join segments into G2- continuity approximating curves for given sequence data in space,and the other is used to adjust shape of segment.

先固定二次曲面片，并得到其参数形式，然后约简三次曲面片所对应的Bernstein系数，使之为带有三个形状调整的形状因子，其中两个分别代表曲线段端点处的曲率，另外一个作为形状的调整。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。