查询词典 affine principal curvature

Mean curvature ; gaussian curvature ; principal curvature ; mesh simplification ; virtual reality

平均曲率；高斯曲率；主曲率；网格简化；虚拟现实

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop细分曲面算法，进一步拓展了该曲率计算方法。

The parameters are :① reservoir effective thickness;② reservoir porosity;③ reservoir volume efficiency;④ fair pay ′ s reservoir volume efficiency;⑤ distance to the fault;⑥ reciprocal of the square root of the distance to the fault ）;⑦ apparent fold strength coefficient;⑧ maximum principal curvature of structural plane;⑨ transversal section line curvature;and ⑩ longitudinal section line curvature.

摘 要 介绍了气井产能的确定方法及地质参数的选择与计算方法：采用初始二项式无阻流量、稳定产量及初始采气指数作为气井产能评价的指标；10项参数分别是①储层有效厚度；②储层孔隙度；③储容系数；④好储层的储容系数；⑤与断层的距离；⑥与断层距离开方的倒数；⑦视褶皱强度系数；⑧构造面最大主曲率；⑨横向剖面线曲率；⑩纵向剖面线曲率。

This article that focuses on the systematic and in-depth research in the current primal problem about abnormal burst pressure reservoir depress burst pressure has procured following main fruits:1 It forms the method which could obtain massive vertical static state mechanics parameters.2 In a foundation of acquisition of rock mechanics parameters,apply bent lamella that as mechanical model along with characteristic of actual geologic characteristics to analysis curvature for anticlinal strcture, get homologous tectonic stress value throug relation between the curvature and stress and different principal curvature in anticlinal structure,consequently set up laminational stress model for anticline reservoir. The block lamination for existed fracturing date has formed method of setting up mechanical model of lamination terrestrial stress by abtaining the block tectonic stress coefficients which are got by complex utilization test, laboratory test and fracturing date playback.3 Analysesing the main reason which lead to high burst pressure by considering the characteristic of reservoir geology,reservoir,and rock mechanics and reservoir damage,etc.Establishing burst pressure quantitative prediction model which provide gist for depressing construction risk and optimizing construction craft under the condition of open hole completion ,gun-perforated completion and damaged reservoir.4 Provding theoretical basis for interpreting acidification pretreatment which could depress busrt pressure by finding the relation between the influencing factors and rock machanics parameters and analysing the factors that have effect on rock mechanics parameters. Expounding the mechanism of reaction of mixed monomineral and acid from the angle of microcosmic element, evaluating quantitatively acid sensilility of different kinds of mineral effectively, and determing the first-order reaction dynamical equation of each mineral.5 Revealing rock mechanics property chage as a result of acid flooding in different condition by sandstone traumata experiment in different temperatures which combined with rock mechanics triaxial stress experiment.6 Associating damage mechanics with sandstone acidizing, established sandstone damage mechanics model in the foundation of the recognition on the rock mechanics parametric variation which is caused by acid-rock reaction in both macroscopic view and microscopic view ,also demonstrated those processes and quantitative estimated the acid busrt pressure to direct the site operation.

本文针对目前异常破裂压力储层降低破裂压力的主要问题展开较为系统和深入的研究，取得了以下主要成果：1形成了利用测井资料，结合室内岩芯测试结果，获取静动岩石力学参数的相关性特征，从而获得纵向上大量静态力学参数的方法。2在获取了岩石力学参数的此基础上，利用弯曲薄板作为力学模型，结合区块实际地质特征对背斜构造进行曲率分析，通过曲率与应力的关系，利用背斜构造不同部位的主曲率求得相应的构造应力值，从而建立起背斜储层的分层应力模型；对已有压裂资料的区块分层，形成了综合利用测试、室内实验、压裂资料反演获得该区块构造应力系数，建立起分层地应力的力学模型的方法。3综合考虑储层地质、油藏、岩石力学特性和储层伤害等因素，分析造成高破裂压力的主要原因，综合利用岩石力学、弹性力学等知识，建立了裸眼完井、射孔完井条件下以及储层受到伤害后的储层破裂压力定量预测模型，为降低施工风险和优化施工工艺提供了依据。4完成了物性、岩性影响岩石力学参数的因素分析，找出了各影响因素和岩石力学参数之间的关系，为从机理上解释酸化预处理降低破裂压力提供了理论基础；从微观元素的角度阐述了单矿物与酸反应的机理；并在此基础上，有效评价了各种矿物的酸敏感性，定量确定了岩石中各矿物的一级反应动力学方程。5完成了不同温度下的酸液类型、酸液浓度、注酸量等一系列砂岩损伤实验，结合岩石力学三轴应力实验，系统揭示了在不同条件下注酸而引起的岩石力学性质变化。6将损伤力学与砂岩酸化相结合，在宏观、微观两个方面认识酸岩反应引起岩石力学参数变化基础上，建立了砂岩损伤力学模型，并对其进行验证，在此基础上定量计算酸化后的破裂压力，有效指导现场施工

Principal plane: Any plane that contains two principal axes is regarded as a principal strain plane, where AB refers to the maximum principal plane, BD, the minimum principal plane and AD, the intermediate one.

主平面：包含任意两个应变主轴的面称为主应变面。其中：AB面为最大主平面，BD面为最小主应变面，AC为中间中应变面。AD面-代表亚性面，BC-代表张性面

Finally, this dissertation offers suggestions to improve middle school principals\' leadership respectively from the three perspectives of profession, system and subject on the basis of issue investigation and root causes analysis. From the perspective of major, we should place the professional role of school principal on educational leader, and educational leadership is the core professional standard for principals. From the perspective of system, the professional standards and qualification system of the principals should be set up in the pre-entry period, and we should reform the principal\'s selection mechanism and perfect the principal occupation term system in the entry period. we should perfect the systems of duty, training, evaluation and motivation etc.. we should set up healthy work termination system in the principal retirement period. From the perspective of subject, school principals should accurately grasp the meaning of leadership to upgrade the level of education al leadership at multi-levels and in multi paths. Administrators should strive to improve the educational leadership level to realize the professionalization of educational administration, Researchers and trainers should really become the supporters of the principal professional development and leaders of leadership practice improvement.

最后，本文针对调查的问题发现与根源剖析，分别从专业、制度、主体等三个视角提出改进中学校长领导力的对策建议：专业上——应将校长领导力的专业角色定位于教育领导者，教育领导力是校长专业标准的内核所在；制度上——拟入职环节应建立校长专业标准和健全校长资格制度，入职环节应改革校长选拔机制和完善校长任期制度，在职环节应健全校长职责、培训、评估、激励等制度，退职环节应建立健康的校长退出机制；主体上——校长应准确把握领导力内涵、多层次、多途径提升教育领导力水平，教育行政人员应努力提高教育领导水平、逐步实现教育行政专业化，研训者应真正成为校长专业发展的支持者、领导实践改进的引领者。

In order to benefit from this new technique without any dangers, on the basis of the arguable contents, the paper put forward a series of principals with the knowledge of systematical philosophy, mathematics and ecological . agriculture: welfare principal, invariable principal of gene, non-spread principal of gene, equal principal of substance and informed perfectible principal.

为了从这种新技术成果中获得好处，同时又不会带来风险，本文以争论的内容为基础，从转基因作物能比传统农作物带来更多的社会效益的角度出发，运用系统哲学、生态农业和数学的一些知识，提出了转基因作物研究和推广中遵循的一系列原则：福利原则、基因稳定性原则、基因不扩散原则、实质等同性原则、以及知情选择原则，并进而建立起评价具体的转基因作物的社会效益的模型。

The measurement results show that the general characteristics of the present crustal stress field of the project area are as follows: the horizontal principal stress is the maximum principal stress, and the preferred orientation of the maximum horizontal principal stress is NW-WNW, the maximum principal stress of surrounding rocks of the plant buildings and high-pressure branch tunnel area is generally 14.5±0.5 MPa and the minimum principal stress is 9±0.5 MPa; the dead oad-bearing capacity of surrounding rocks is 10—14 MPa; and the surrounding rocks are essentially impermeable at high pressures of 8—10 MPa.

测量结果表明，工程区现今地壳应力场的总体特征为：水平主应力为最大主应力，最大水平主应力的优势方向为NW-NWW向；厂房和高压岔管区围岩的最大主应力值一般为14.5±0.5MPa，最小主应力值一般为9±0.5MPa；围岩自身的抗载强度一般为10～14MPa；在8～10MPa高压力作用下围岩基本不透水。

We propose a unified method to approximate important geometric attributes, including normal vector, gauss curvature, mean curvature, principal curvatures and principal directions on point sampled surface. Based on MLS projection our method is robust to noise and stable to the sampling density.

曲面的微分性质包括法向量和切平面、高斯曲率、平均曲率、主曲率和主方向，在计算机图形学、机器视觉和计算机辅助设计等领域发挥了重要的作用，比如曲面绘制、内外测试、曲面重建、曲面简化、去除曲面噪声和模型分割等。

Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.

摘要在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。