Visualization of particle traces in virtual environments

Visualization of Particle Traces in Virtual Environments

Falko Kuester Ralph Bruckschen Bernd Hamann Kenneth I.Joy Visualization and Interactive Systems Group Visualization and Graphics Research Group Department of Electrical and Computer Engineering Center for Image Processing and Integrated Computing The Henry Samueli School of Engineering Department of Computer Science

University of California,Irvine,CA92697-2625University of California,Davis,CA95616-8562

ABSTRACT

Real-time visualization of particle traces in virtual environments can aid in the exploration and analysis of complex three dimen-sional vector?elds.This paper introduces a scalable method suit-able for the interactive visualization of large time-varying vector ?elds on commodity hardware.A real-time data streaming and vi-sualization approach and its out-of-core scheme for the pre-pro-cessing and rendering of data are described.The presented ap-proach yields low-latency application start-up times and small mem-ory footprints.A proof of concept systems was implemented on a low-cost Linux workstation equipped with spatial tracking hard-ware,data gloves and shutter glasses.The system was used to im-plement a virtual wind tunnel in which a volumetric particle injec-tor can introduce up to60000particles into the?ow?eld while an interactive rendering performance of60frames per second is main-tained.

Keywords

Virtual Reality,Virtual Wind Tunnel,Particle Tracing,Scienti?c Visualization,Computational Fluid Dynamics,Out-of-Core Visu-alization,Simulation,Stereoscopic Rendering.

1.INTRODUCTION

As numerical simulations are becoming more powerful,it is pos-sible to simulate physical phenomena at ever increasing resolution. The goal is to provide a scientist with intuitive and interactive tools for the exploration and analysis of these large time-varying data sets.The challenge is to visualize the data generated by high-precision simulation runs without loss of accuracy.Unfortunately, computational resources available for visualization frequently do not match those used for simulation and it is no longer possible to visualize the resulting massive data sets using an exclusive in-core approach.This implies that the amount of data has to be reduced to allow for reasonable visualization https://www.sodocs.net/doc/f311451897.html,ing avail-able approaches,an increase in rendering speed generally comes at the expense of a reduction in data precision.In particular,when techniques such a sub-sampling are used,undesired artifacts can be Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for pro?t or commercial advantage and that copies bear this notice and the full citation on the?rst page.To copy otherwise,to republish,to post on servers or to redistribute to lists,requires prior speci?c permission and/or a fee.

VRST’01,November15-17,2001,Banff,Alberta,Canada.

Copyright2001ACM1-58113-427-4/01/0011...$

5.00.

Figure1:Real-time particle visualization in VR. introduced or potentially important features removed.The visual-ization problems associated with very large time-varying data sets in computational?uid dynamics(CFD)are frequently addressed by creating image sequences or movies in batch processes.Such an approach generally requires basic knowledge of the result,fre-quently derived from interaction with lower resolution datasets. Some improvements have been made with3D interactive movies, but interactive visualization in full resolution is still expensive. The goal of the work described herein is to enable visualization of arbitrarily large scienti?c data sets while using minimal CPU and memory footprints,enabling the system to run on low-cost commodity hardware as well as massively parallel systems.The out-of-core approach is specialized for real-time visualization of large-scale time-varying data sets at the highest available level of resolution and is suitable for virtual wind tunnel scenarios(Fig-ure1).The system was used to implement a volumetric particle injector,which can emit up to60000particles into the?ow?eld while maintaining an interactive frame rate of60frames per sec-ond.This performance was achieved by pre-calculating a dense uniform rectilinear grid of particle injectors1(trajectory seeds) and storing the particles on all resulting trajectories out-of-core in a scheme optimized for selection of sub-grids.

For the initial test phase,data sets were generated for a classical

problem:simulating the ?ow of a ?uid around a spherical object.In this case,a Reynolds number 2of about 2000was selected to simu-late the ?ow ?eld around a sphere pushed slowly through water.A rectilinear grid of 128*128*1024was used for the computation of about 250time steps.A ?nite-difference Navier-Stokes solver was used to generate the simulation data.

2.RELATED WORK

Visualization of time-varying ?uid ?ows using large amounts of particles has been approached,for example,by Lane [1].Using 3D movies,the possibility of rendering large amounts of particles in real time was demonstrated by Meiselbach [2].Out-of-core par-ticle tracing algorithms have been developed by Ueng et al.[3]for the most common forms of meshes used in CFD.A more de-tailed description of the problem de?nition and related issues can be found in [4].A server-based approach supporting interactive frame rates was demonstrated by Cox and Ellsworth [5]for rela-tively small particle systems.The interactive visualization of ?ow data sets in virtual reality (VR)environments was studied by Jern and Earnshaw [6],and for time-dependent data sets by Kenwright and Lane [7]using in-core algorithms.

3.IMPLEMENTATION

The presented system consists of four main components:(1)a CFD simulator with (2)a particle tracer,(3)an encoder,and (4)a renderer integrated into a VR framework.Figure 2illustrates the different system components and data ?ow.

Interaction

System

Computing time Process & Data Figure 2:System Components.

3.1Simulation

The legacy simulation code was originally written in Fortran and implements a ?nite-difference method for a rectangular grid and a particle tracer.The particle tracer was modi?ed for the contin-uous injection of particles based on a uniform rectilinear grid of entry points.Particles without mass are calculated in a second-order von Heun scheme using trilinear interpolation in rectilinear hexahedral grid elements.The existing Fortran code was converted to C using f2c.Further improvements were added to the C code to enable the use of dynamically allocated memory.It was possible to instrument the existing particle tracer such that it converts the

Figure5:Double helix structure.

3.2Data Representation

The classical visualization approach for interactive particle trac-

ing is to read the data needed for calculating the particle traces from

a storage system and calculating particle trajectories procedurally

and in-core.The velocity of the particles is then interpolated and

their new positions are https://www.sodocs.net/doc/f311451897.html,ing this method,visualiza-

tion with arti?cial fog is impractical for tera-byte data sets,since

very large massive parallel systems are needed.This is due to the

amount of data required for the integration with a limiting factor

being the data throughput from the storage system to the server.

In a time-dependent CFD simulation on an unstructured tetrahe-

dral grid,the minimal data required to compute a particle path are

two tetrahedra with velocity vectors de?ned at their corners.This

means that for every particle two sets of four coordinates with four

velocity vectors are needed.When using single-precision?oating-

point variables,256bytes will have to be transferred per particle.

Assuming a static mesh,this amount can be reduced by50%when

the mesh is cached in main memory.The other limiting factor is

the amount of searches required on the storage system.As“seeks”

generally require more time than the actual read operations,usually

larger data blocks need to be processed for each particle.

Since these methods strive to achieve complete freedom of in-

teraction for user speci?able input,they are optimized for random

access to data on the storage system.For the particles that are

rendered,the amount of data needed is much smaller.Every par-

ticle can be described by its https://www.sodocs.net/doc/f311451897.html,ing single-precision

?oating-point variables,twelve bytes are needed.By transforming

the coordinates to16-bit integer values,this can be reduced to six

bytes.In certain cases particles are color-coded by an underlying

scalar?eld value such as pressure or absolute speed.For this pur-

pose,an additional16-bit value can be added to align the data to64

bits(8bytes).With this approach,particles need only

The Morton order de?nes a linear numbering of the leaves of a

complete quadtree(2D case)or octree(3D case)[8].A Morton or-

der optimizes the amount of searches needed to select a rectangular

subset of a uniform rectilinear grid.In the3D case,the worst case

requires eight searches to access a rectangular subset,see Figure6.

The maximum size of the data to be read is eight times the size of

a rectangular subset.

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212213Acessed Datablocks:Figure 6:Morton scheme.The shaded area indicates the data blocks associated with the given 4x4cursor for the 2D case.overhead of approximately 1.4GB to be stored in main memory,which con?icts with the original goal of working with the smallest possible CPU and main memory foot prints.The resulting data set for the described test case is 60GB.

3.4Renderer

The renderer is implemented as a plug-in component for Vir-tualExplorer,a VR toolkit developed jointly between the UC Davis and UC Irvine [9].VirtualExplorer (VE)is a customizable plug-in-based VR framework for immersive scienti?c visualization,data exploration and geometric modeling.The framework is layered on top of a run-time plug-in system and re-con?gurable virtual user interface and provides a variety of plug-in components.The system enables access to scene-graph-based APIs,including Per-former and OpenInventor,direct OpenGL support for visualization of time-critical data as well as collision and generic device man-agers.Plug-ins can be loaded,disabled,enabled,or unloaded at any time,triggered either through pre-de?ned events or through an external Python-based interface.The framework is currently be-ing extended with a variety of application areas in mind,with the most important ones being user-guided data exploration and high-precision engineering design.

The CFD visualization toolkit provides two distinct plug-ins to enable out-of-core particle visualization.An optimized data loader and data streaming component and a designated OpenGL-based real-time rendering engine.The required user interface and inter-action metaphors are provided through the VE framework.For ex-ample,the virtual particle injector can be controlled either through a spatially tracked input device or its appropriate keyboard-or soft-ware-based simulator.

At start-up time,the plug-ins are launched as independent pro-cesses.The data acquisition process then acquires data from the RAID system and stores it in shared memory,together with the

required pointers.The speci?c data sets are determined by the cur-rent spatial coordinates of the cursor that is provided through the VE framework and constantly dispatched to the plug-ins.

Initially,the renderer only reads the global header ?le and pro-ceeds to create handles to all available particle ?les.As a conse-quence,the visualization system has nearly no pre-load delay be-fore rendering.Once initialized,the user has interactive control over a box-shaped cursor of customizable size.The maximum cur-sor size is limited by the data transfer rate of the data storage system that is used.A cursor encapsulating particle injectors has proven very ef?cient for the tested visualization tasks.Once the cursor is positioned in the ?ow ?eld,the matching particle injectors in it are calculated.Next,the corresponding ?le pointers are sorted and tra-versed.If the difference between two pointers is larger than the cursor size times the block size,the data up to the last pointer is read and a seek operation to the next pointer is performed.The un-derlying Morton order of the ?le pointers minimizes the amount of required seeks.

For each point in the cursor,a pointer into the loaded data blocks is stored to enable rendering of the particles.During actual render-ing,the list of pointers into the loaded blocks is traversed.Every particle is then transformed back into its original coordinate sys-tem and rendered.Particles are rendered as simple points with user adjustable color.The blend function of the 3D hardware is set to add up the RGB values per rendered pixel,therefore achieving the desired fog effect.By default particles are rendered as gray pixels onto a dark blue background,adding up the RGB values of over-lying particles without Z-buffering.Particles that are in alignment with the viewing direction appear brighter.Finally,the background geometry,the cursor,model,integration area and navigation tools are rendered from a user-de?nable scene graph.

3.5Interaction

The application supports the advantages of head-tracking and natural two-handed input.It can utilize spatial tracking hardware and glove devices for the interaction with the data.A set of generic hand gestures is supported for intuitive scene https://www.sodocs.net/doc/f311451897.html,ers can apply a walk,drive or ?y metaphor to explore the environment or use translate,rotate and scale operations for more customized con-trol.The particle injector can be attached to a tracked data glove or stylus device and freely positioned within the virtual wind tunnel.Particles can be injected at any time and for any duration.An ad-vantage of the two-handed interface is that particles can be added to the ?ow ?eld while the user navigates through it.

4.RESULTS

A uniform rectilinear particle injector grid of was suf?cient to visualize the key features of the turbulent ?ow.However,addi-tional tests with different data sets are required to determine if an “optimal”injector size can be de?ned for arbitrary data.

Initial runs indicate that the visualization algorithms are bound by the transfer rate from the side of the RAID.The data transfer rate currently translates into a stable update rate of 10frames per second,with each frame representing a unique time step.The aver-age CPU load on the system is roughly 20%while utilizing 128MB of RAM.

The available data update rate of 10Hz is fast enough to sup-port smooth visualization.Although the update rate is bound by the speed of the RAID system,the threaded rendering process runs at a frame rate of more than 75frames per second.This perfor-mance makes the system suitable for real-time interactive stereo-scopic rendering in virtual environments.The under-utilized CPU and memory resources allow for a variety of additional improve-

ments in rendering techniques and interaction.However,the turn-around time of the simulator using the current sequential imple-mentation needs to be improved by a factor of at least10.

4.1Performance

At the moment,the performance of the pre-processor seems to be poor in comparison with the performance of the renderer.As particle tracing can be ef?ciently parallelized,this is of less con-cern.

4.1.1Pre-processing

Even though particle tracing for rectangular meshes leads to very fast algorithms,the sequential technique integrated in the?nite-difference simulation program requires about a day to calculate all particles for the250time steps of the simulation.An improved par-allel,out-of-core particle tracer is needed and should exploit bulk particle rendering.

4.1.2Rendering

The theoretical minimal refresh rate of this system is given by

[3]Shyh-Kuang Ueng,C.Sikorski,and Kwan-Liu Ma,

“Out-of-core streamline visualization on large unstructured meshes”,IEEE Transactions on Visualization and Computer Graphics,vol.3,no.4,pp.370–380,Oct./Dec.1997. [4]Frits H.Post and Theo van Walsum,“Fluid?ow

visualization”,Technical Report DUT-TWI-92-69,Delft

University of Technology,Department of Technical

Mathematics and Informatics,Delft,The Netherlands,1992.

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“Application-controlled demand paging for Out-of-Core

visualization”,in IEEE Visualization′97,Roni Yagel and

Hans Hagen,Eds.,Los Alamitos,California,USA,Nov.

1997,IEEE Computer Society Press,pp.235–244.

[6]Mikael Jern and Rae A.Earnshaw,“Interactive real-time

visualization system using a virtual reality paradigm”,in

Visualization in Scienti?c Computing,M.G¨o bel,H.M¨u ller, and B.Urban,Eds.,pp.174–189.Springer-Verlag,Vienna, Austria,May1994.

[7]David N.Kenwright and David https://www.sodocs.net/doc/f311451897.html,ne,“Interactive

Time-Dependent Particle Tracing Using Tetrahedral

Decomposition”,IEEE Transactions on Visualization and

Computer Graphics,vol.2,no.2,pp.120–129,June1996.

[8]H.J.Samet,Design and analysis of Spatial Data Structures:

Quadtrees,Octrees,and other Hierarchical Methods,

Addison–Wesley,Redding,MA,1989.

[9]Falko Kuester,Bernd Hamann,and Kenneth I.Joy,

“Virtualexplorer:A plugin-based virtual reality framework”, in Proceedings of SPIE,R.F.Erbacher,P.C.Chen,

M.Groehn,J.C.Roberts,and C.M.Wittenbrink,Eds.,San

Jose,California,USA,2001,SPIE-The International

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pp.392–397,IEEE Computer Society Press.

[12]W.Thompkins and R.Haimes,“A minicomputer/array

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(a)(b)

(c)

Figure7:Core vortex structure in the simulation.As the sphere is suddenly moved through the liquid,a fog ring forms(a).The vortex breaks down after about50time steps(b)and is replaced by a helix like structure(c).This?gure is reproduced in color on page202.

英语中的比较级与最高级 详解

比较级与最高级 1.as...as 与(not) as(so)...as as...as...句型中，as的词性 第一个as是副词，用在形容词和副词的原级前，常译为“同样地”。第二个as是连词，连接与前面句子结构相同的一个句子(相同部分常省略)，可译为“同..... He is as tall as his brother is (tall) . (后面的as 为连词) 只有在否定句中，第一个as才可换为so 改错: He is so tall as his brother.（X） 2.在比较状语从句中，主句和从句的句式结构一般是相同的 与as...as 句式中第二个as一样，than 也是连词。as和than这两个连词后面的从句的结构与前面的句子大部分情况下结构是相同的，相同部分可以省略。 He picked more apples than she did. 完整的表达为: He picked more apples than she picked apples. 后而的picked apples和前面相同，用did 替代。 He walked as slowly as she did.完整表达为: He walked as slowly as she walked slowly. she后面walked slowly与前面相同，用did替代。

3.谓语的替代 在as和than 引导的比较状语从句中，由于句式同前面 主句相同，为避免重复，常把主句中出现而从句中又出现的动词用do的适当形式来代替。 John speaks German as fluently as Mary does. 4.前后的比较对象应一致 不管后面连词是than 还是as,前后的比较对象应一致。The weather of Beijing is colder than Guangzhou. x than前面比较对象是“天气”，than 后面比较对象是“广州”，不能相比较。应改为: The weather of Bejing is colder than that of Guangzhou. 再如: His handwriting is as good as me. 应改为: His handwriting is as good as mine. 5.可以修饰比较级的词 常用来修饰比较级的词或短语有: Much,even,far,a little,a lot,a bit,by far,rather,any,still,a great deal等。 by far的用法: 用于强调，意为“...得多”“最最...”“显然”等，可修饰形容词或副词的比较级和最高级，通常置于其后，但是若比较级或最高级前有冠词，则可置于其前或其后。

The way常见用法

The way 的用法 Ⅰ常见用法： 1)the way+ that 2)the way + in which（最为正式的用法） 3)the way + 省略（最为自然的用法） 举例：I like the way in which he talks. I like the way that he talks. I like the way he talks. Ⅱ习惯用法： 在当代美国英语中，the way用作为副词的对格，“the way+ 从句”实际上相当于一个状语从句来修饰整个句子。 1)The way =as I am talking to you just the way I’d talk to my own child. He did not do it the way his friends did. Most fruits are naturally sweet and we can eat them just the way they are—all we have to do is to clean and peel them. 2）The way= according to the way/ judging from the way The way you answer the question, you are an excellent student. The way most people look at you, you’d think trash man is a monster. 3）The way =how/ how much No one can imagine the way he missed her. 4）The way =because

人教版(新目标)初中英语形容词与副词的比较级与最高级

人教版（新目标）初中英语形容词与副词的比较级与最高级 （一）规则变化： 1．绝大多数的单音节和少数双音节词，加词尾-er ，-est tall—taller—tallest 2．以不发音的e结尾的单音节词和少数以-le结尾的双音节词只加-r，-st nice—nicer—nicest , able—abler—ablest 3．以一个辅音字母结尾的重读闭音节词或少数双音节词，双写结尾的辅音字母，再加-er，-est big—bigger—biggest 4．以辅音字母加y结尾的双音节词，改y为i再加-er，-est easy—easier—easiest 5．少数以-er，-ow结尾的双音节词末尾加-er，-est clever—cleverer—cleverest, narrow—narrower—narrowest 6．其他双音节词和多音节词，在前面加more，most来构成比较级和最高级 easily—more easily—most easily （二）不规则变化 常见的有： good / well—better—best ; bad (ly)/ ill—worse—worst ; old—older/elder—oldest/eldest many / much—more—most ; little—less—least ; far—farther/further—farthest/furthest

用法： 1．原级比较：as + adj./adv. +as（否定为not so/as + adj./adv. +as）当as… as中间有名字时，采用as + adj. + a + n.或as + many / much + n. This is as good an example as the other is . I can carry as much paper as you can. 表示倍数的词或其他程度副词做修饰语时放在as的前面 This room is twice as big as that one. 倍数+as+adj.+as = 倍数+the +n.+of Your room is twice as larger as mine. = Your room is twice the size of mine. 2．比较级+ than 比较级前可加程度状语much, still, even, far, a lot, a little, three years. five times,20%等 He is three years older than I (am). 表示“（两个中）较……的那个”时，比较级前常加the（后面有名字时前面才能加冠词） He is the taller of the two brothers. / He is taller than his two brothers. Which is larger, Canada or Australia? / Which is the larger country, Canada or Australia? 可用比较级形式表示最高级概念，关键是要用或或否定词等把一事物（或人）与其他同类事物（或人）相分离 He is taller than any other boy / anybody else.

英语中的比较级和最高级

大多数形容词有三种形式,原级,比较级和最高级, 以表示形容词说明的性质在程度上的不同。 形容词的原级: 形容词的原级形式就是词典中出现的形容词的原形。例如: poor tall great glad bad 形容词的比较级和最高级: 形容词的比较级和最高级形式是在形容词的原级形式的基础上变化的。分为规则变化和不规则变化。 规则变化如下: 1) 单音节形容词的比较级和最高级形式是在词尾加 -er 和 -est 构成。 great (原级) (比较级) (最高级) 2) 以 -e 结尾的单音节形容词的比较级和最高级是在词尾加 -r 和 -st 构成。wide (原级) (比较级) (最高级) 3)少数以-y, -er, -ow, -ble结尾的双音节形容词的比较级和最高级是在词尾加 -er 和 -est 构成。 clever(原级) (比较级) (最高级) 4) 以 -y 结尾,但 -y 前是辅音字母的形容词的比较级和最高级是把 -y 去掉,加上 -ier 和-est 构成. happy (原形) (比较级) (最高级) 5) 以一个辅音字母结尾其前面的元音字母发短元音的形容词的比较级和最高级是双写该辅音字母然后再加 -er和-est。 big (原级) (比较级) (最高级) 6) 双音节和多音节形容词的比较级和最高级需用more 和 most 加在形容词前面来构成。 beautiful (原级) (比较级) (比较级) difficult (原级) (最高级) (最高级) 常用的不规则变化的形容词的比较级和最高级: 原级------比较级------最高级 good------better------best many------more------most much------more------most bad------worse------worst far------farther, further------farthest, furthest 形容词前如加 less 和 least 则表示"较不"和"最不 形容词比较级的用法: 形容词的比较级用于两个人或事物的比较,其结构形式如下: 主语+谓语(系动词)+ 形容词比较级+than+ 对比成分。也就是, 含有形容词比较级的主句+than+从句。注意从句常常省去意义上和主句相同的部分, 而只剩下对比的成分。

The way的用法及其含义(二)

The way的用法及其含义（二） 二、the way在句中的语法作用 the way在句中可以作主语、宾语或表语： 1.作主语 The way you are doing it is completely crazy.你这个干法简直发疯。 The way she puts on that accent really irritates me. 她故意操那种口音的样子实在令我恼火。The way she behaved towards him was utterly ruthless. 她对待他真是无情至极。 Words are important, but the way a person stands, folds his or her arms or moves his or her hands can also give us information about his or her feelings. 言语固然重要,但人的站姿,抱臂的方式和手势也回告诉我们他(她)的情感。 2.作宾语 I hate the way she stared at me.我讨厌她盯我看的样子。 We like the way that her hair hangs down.我们喜欢她的头发笔直地垂下来。 You could tell she was foreign by the way she was dressed. 从她的穿著就可以看出她是外国人。 She could not hide her amusement at the way he was dancing. 她见他跳舞的姿势，忍俊不禁。 3.作表语 This is the way the accident happened.这就是事故如何发生的。 Believe it or not, that's the way it is. 信不信由你, 反正事情就是这样。 That's the way I look at it, too. 我也是这么想。 That was the way minority nationalities were treated in old China. 那就是少数民族在旧中

英语比较级和最高级的用法归纳

英语比较级和最高级的用法归纳 在学习英语过程中，会遇到很多的语法问题，比如比较级和最高级的用法，对于 这些语法你能够掌握吗？下面是小编整理的英语比较级和最高级的用法，欢迎阅读！ 英语比较级和最高级的用法 一、形容词、副词的比较级和最高级的构成规则 1.一般单音节词和少数以-er，-ow结尾的双音节词，比较级在后面加-er，最高级 在后面加-est; (1)单音节词 如：small→smaller→smallest short→shorter→shortest tall→taller→tallest great→greater→greatest (2)双音节词 如：clever→cleverer→cleverest narrow→narrower→narrowest 2.以不发音e结尾的单音节词，比较在原级后加-r，最高级在原级后加-st; 如：large→larger→largest nice→nicer→nicest able→abler→ablest 3.在重读闭音节(即：辅音+元音+辅音)中，先双写末尾的辅音字母，比较级加-er，最高级加-est; 如：big→bigger→biggest hot→hotter→hottest fat→fatter→fattest 4.以“辅音字母+y”结尾的双音节词，把y改为i，比较级加-er，最高级加-est; 如：easy→easier→easiest heavy→heavier→heaviest busy→busier→busiest happy→happier→happiest 5.其他双音节词和多音节词，比较级在前面加more，最高级在前面加most; 如：bea utiful→more beautiful→most beautiful different→more different→most different easily→more easily→most easily 注意：(1)形容词最高级前通常必须用定冠词 the，副词最高级前可不用。 例句： The Sahara is the biggest desert in the world. (2) 形容词most前面没有the，不表示最高级的含义，只表示"非常"。 It is a most important problem. =It is a very important problem.

(完整版)the的用法

定冠词the的用法： 定冠词the与指示代词this ,that同源,有“那(这)个”的意思,但较弱,可以和一个名词连用,来表示某个或某些特定的人或东西. (1)特指双方都明白的人或物 Take the medicine.把药吃了. (2)上文提到过的人或事 He bought a house.他买了幢房子. I've been to the house.我去过那幢房子. (3)指世界上独一无二的事物 the sun ,the sky ,the moon, the earth (4)单数名词连用表示一类事物 the dollar 美元 the fox 狐狸 或与形容词或分词连用,表示一类人 the rich 富人 the living 生者 (5)用在序数词和形容词最高级,及形容词等前面 Where do you live?你住在哪? I live on the second floor.我住在二楼. That's the very thing I've been looking for.那正是我要找的东西. (6)与复数名词连用,指整个群体 They are the teachers of this school.(指全体教师) They are teachers of this school.(指部分教师) (7)表示所有,相当于物主代词,用在表示身体部位的名词前 She caught me by the arm.她抓住了我的手臂. (8)用在某些有普通名词构成的国家名称,机关团体,阶级等专有名词前 the People's Republic of China 中华人民共和国 the United States 美国 (9)用在表示乐器的名词前 She plays the piano.她会弹钢琴. (10)用在姓氏的复数名词之前,表示一家人 the Greens 格林一家人(或格林夫妇) (11)用在惯用语中 in the day, in the morning... the day before yesterday, the next morning... in the sky... in the dark... in the end... on the whole, by the way...

英语比较级和最高级的用法

More than的用法 A. “More than+名词”表示“不仅仅是” 1)Modern science is more than a large amount of information. 2)Jason is more than a lecturer; he is a writer, too. 3) We need more than material wealth to build our country.建设我们国家，不仅仅需要物质财富. B. “More than+数词”含“以上”或“不止”之意，如： 4)I have known David for more than 20 years. 5)Let's carry out the test with more than the sample copy. 6) More than one person has made this suggestion. 不止一人提过这个建议. C. “More than+形容词”等于“很”或“非常”的意思，如： 7)In doing scientific experiments, one must be more than careful with the instruments. 8)I assure you I am more than glad to help you. D. more than + (that)从句，其基本意义是“超过（=over）”，但可译成“简直不”“远非”.难以，完全不能（其后通常连用情态动词can） 9) That is more than I can understand . 那非我所能懂的. 10) That is more than I can tell. 那事我实在不明白。 11) The heat there was more than he could stand. 那儿的炎热程度是他所不能忍受的 此外，“more than”也在一些惯用语中出现，如： more...than 的用法 1. 比……多，比……更 He has more books than me. 他的书比我多。 He is more careful than the others. 他比其他人更仔细。 2. 与其……不如 He is more lucky than clever. 与其说他聪明，不如说他幸运。 He is more （a）scholar than （a）teacher. 与其说他是位教师，不如说他是位学者。 注：该句型主要用于同一个人或物在两个不同性质或特征等方面的比较，其中的比较级必须用加more 的形式，不能用加词尾-er 的形式。 No more than/not more than 1. no more than 的意思是“仅仅”“只有”“最多不超过”，强调少。如： --This test takes no more than thirty minutes. 这个测验只要30分钟。 --The pub was no more than half full. 该酒吧的上座率最多不超过五成。-For thirty years，he had done no more than he （had）needed to. 30年来，他只干了他需要干的工作。 2. not more than 为more than （多于）的否定式，其意为“不多于”“不超过”。如：Not more than 10 guests came to her birthday party. 来参加她的生日宴会的客人不超过十人。 比较： She has no more than three hats. 她只有3顶帽子。（太少了） She has not more than three hats. 她至多有3顶帽子。（也许不到3顶帽子） I have no more than five yuan in my pocket. 我口袋里的钱最多不过5元。（言其少） I have not more than five yuan in my pocket. 我口袋里的钱不多于5元。（也许不到5元） more than, less than 的用法 1. （指数量）不到，不足 It’s less than half an hour’s drive from here. 开车到那里不到半个钟头。 In less than an hour he finished the work. 没要上一个小时，他就完成了工作。 2. 比……（小）少 She eats less than she should. 她吃得比她应该吃的少。 Half the group felt they spent less than average. 半数人觉得他们的花费低于平均水平。 more…than,/no more than/not more than (1)Mr．Li is ________ a professor; he is also a famous scientist． (2)As I had ________ five dollars with me, I couldn’t afford the new jacket then． (3)He had to work at the age of ________ twelve． (4)There were ________ ten chairs in the room．However, the number of the children is twelve． (5)If you tel l your father what you’ve done, he’ll be ________ angry． (6)－What did you think of this novel? －I was disappointed to find it ________ interesting ________ that one． 倍数表达法 1. “倍数+形容词（或副词）的比较级+than+从句”表示“A比B大（长、高、宽等）多少倍” This rope is twice longer than that one.这根绳是那根绳的三倍（比那根绳长两倍）。The car runs twice faster than that truck.这辆小车的速度比那辆卡车快两倍（是那辆卡车的三倍）。 2. “倍数+as+形容词或副词的原级+as+从句”表示“A正好是B的多少倍”。

“the way+从句”结构的意义及用法

“tｈｅwａｙ+从句”结构的意义及用法 首先让我们来看下面这个句子: Ｒead the foｌloｗｉnｇpassagｅａnd talkａbout ｉt wi ｔh your classmaｔes．Try tｏｔeｌl whaｔyｏu thiｎk ｏf Tom aｎd ｏｆｔhe ｗay the chiｌｄrenｔrｅated ｈim. 在这个句子中，ｔhe waｙ是先行词,后面是省略了关系副词that或in whｉch的定语从句。 下面我们将叙述“the ｗaｙ+从句”结构的用法。 1.tｈe wａy之后，引导定语从句的关系词是tｈat而不是hoｗ,因此，<<现代英语惯用法词典＞＞中所给出的下面两个句子是错误的：Ｔhｉs is ｔｈeｗayｈowｉtｈａppened. This is the way how he ａlwａｙs treats me. 2．在正式语体中,thaｔ可被in which所代替;在非正式语体中，ｔhat则往往省略。由此我们得到theｗay后接定语从句时的三种模式：1) tｈe ｗaｙ＋ｔhａt-从句２）the way +ｉn whiｃh－从句3) the ｗay +从句 例如：Ｔｈe way(in whiｃh ，thａt) ｔhｅｓｅｃomｒade ｓloｏｋａｔｐrobｌems is wrong．这些同志看问题的方法

不对。 Ｔｈｅｗａy(that ,ｉn ｗhiｃh)yoｕ’ｒe doinｇit is comple ｔeｌy crａzy.你这么个干法,简直发疯。 Wｅａdmiｒｅd him for thｅｗay ｉｎｗhｉch he fａｃeｓdiｆficultieｓ． Waｌlａｃe ａｎd Ｄarwiｎｇreed ｏn the way ｉｎwhi ｃh ｄｉfｆｅrｅnt forms ｏf life had ｂegｕn.华莱士和达尔文对不同类型的生物是如何起源的持相同的观点。 Thｉs is ｔｈe ｗaｙ（tｈａｔ) hｅdｉd it. I lｉkeｄｔhe waｙ(ｔhat) ｓｈeｏｒganized ｔhe ｍeetｉng． 3.theｗay(tｈat)有时可以与hｏw(作“如何”解）通用。例如： That’s tｈe ｗaｙ(tｈaｔ) shｅspoke. = Tｈat’s how shｅspoke.

初中英语比较级和最高级讲解与练习

初中英语比较级和最高级讲解与练习 形容词比较级和最高级 一．绝大多数形容词有三种形式,原级,比较级和最高级, 以表示形容词说明的性质在程度上的不同。 1. 形容词的原级: 形容词的原级形式就是词典中出现的形容词的原形。例如: poor tall great glad bad 2. 形容词的比较级和最高级: 形容词的比较级和最高级形式是在形容词的原级形式的基 础上变化的。分为规则变化和不规则变化。 二．形容词比较级和最高级规则变化如下: 1) 单音节形容词的比较级和最高级形式是在词尾加-er 和-est 构成。 great (原级) greater(比较级) greatest(最高级) 2) 以-e 结尾的单音节形容词的比较级和最高级是在词尾加-r 和-st 构成。 wide (原级) wider (比较级) widest (最高级) 3) 少数以-y, -er, -ow, -ble结尾的双音节形容词的比较级和最高级是在词尾加 -er 和-est构成。 clever(原级) cleverer(比较级) cleverest(最高级)， slow(原级) slower(比较级) slowest (最高级) 4) 以-y 结尾,但-y 前是辅音字母的形容词的比较级和最高级是把-y 去掉,加上-ier 和-est 构成. happy (原形) happier (比较级) happiest (最高级) 5) 以一个辅音字母结尾其前面的元音字母发短元音的形容词的比较级和最高级是双写该 辅音字母然后再加-er和-est。 原形比较级最高级原形比较级最高级 big bigger biggest hot hotter hottest red redder reddest thin thinner thinnest 6) 双音节和多音节形容词的比较级和最高级需用more 和most 加在形容词前面来构 成。 原形比较级最高级 careful careful more careful most careful difficult more difficult most difficult delicious more delicious most delicious 7)常用的不规则变化的形容词的比较级和最高级: 原级比较级最高级 good better best 好的 well better best 身体好的 bad worse worst 坏的 ill worse worst 病的 many more most 许多 much more most 许多 few less least 少数几个 little less least 少数一点儿 （little littler littlest 小的） far further furthest 远（指更进一步，深度。亦可指更远） far farther farthest 远（指更远，路程）

way 用法

表示“方式”、“方法”，注意以下用法： 1.表示用某种方法或按某种方式，通常用介词in(此介词有时可省略)。如： Do it (in) your own way. 按你自己的方法做吧。 Please do not talk (in) that way. 请不要那样说。 2.表示做某事的方式或方法，其后可接不定式或of doing sth。 如： It’s the best way of studying [to study] English. 这是学习英语的最好方法。 There are different ways to do [of doing] it. 做这事有不同的办法。 3.其后通常可直接跟一个定语从句(不用任何引导词)，也可跟由that 或in which 引导的定语从句，但是其后的从句不能由how 来引导。如： 我不喜欢他说话的态度。 正：I don’t like the way he spoke. 正：I don’t like the way that he spoke. 正：I don’t like the way in which he spoke. 误：I don’t like the way how he spoke. 4.注意以下各句the way 的用法： That’s the way (=how) he spoke. 那就是他说话的方式。 Nobody else loves you the way(=as) I do. 没有人像我这样爱你。 The way (=According as) you are studying now, you won’tmake much progress. 根据你现在学习情况来看，你不会有多大的进步。 2007年陕西省高考英语中有这样一道单项填空题： ——I think he is taking an active part insocial work. ——I agree with you_____. A、in a way B、on the way C、by the way D、in the way 此题答案选A。要想弄清为什么选A，而不选其他几项，则要弄清选项中含way的四个短语的不同意义和用法，下面我们就对此作一归纳和小结。 一、in a way的用法 表示：在一定程度上，从某方面说。如： In a way he was right.在某种程度上他是对的。注：in a way也可说成in one way。 二、on the way的用法 1、表示：即将来(去)，就要来(去)。如： Spring is on the way.春天快到了。 I'd better be on my way soon.我最好还是快点儿走。 Radio forecasts said a sixth-grade wind was on the way.无线电预报说将有六级大风。 2、表示：在路上，在行进中。如： He stopped for breakfast on the way.他中途停下吃早点。 We had some good laughs on the way.我们在路上好好笑了一阵子。 3、表示：(婴儿)尚未出生。如： She has two children with another one on the way.她有两个孩子，现在还怀着一个。 She's got five children，and another one is on the way.她已经有5个孩子了，另一个又快生了。 三、by the way的用法

英语比较级和最高级

形容词比较级和最高级的形式 一、形容词比较级和最高级的构成 形容词的比较级和最高级变化形式规则如下 构成法原级比较级最高级 ①一般单音节词末尾加 er 和 est strong stronger strongest ②单音节词如果以 e结尾，只加 r 和 st strange stranger strangest ③闭音节单音节词如末尾只有一个辅音字母， 须先双写这个辅音字母，再加 er和 est sad big hot sadder bigger hotter saddest biggest hottest ④少数以 y, er(或 ure), ow, ble结尾的双音节词， 末尾加 er和 est(以 y结尾的词，如 y前是辅音字母， 把y变成i，再加 er和 est，以 e结尾的词仍 只加 r和 st) angry Clever Narrow Noble angrier Cleverer narrower nobler angriest cleverest narrowest noblest ⑤其他双音节和多音节词都在前面加单词more和most different more different most different 1) The most high 〔A〕mountain in 〔B〕the world is Mount Everest，which is situated 〔C〕in Nepal and is twenty nine thousand one hundred and fourty one feet high 〔D〕 . 2) This house is spaciouser 〔A〕than that 〔B〕white 〔C〕one I bought in Rapid City，South Dakota 〔D〕last year. 3) Research in the social 〔A〕sciences often proves difficulter 〔B〕than similar 〔C〕work in the physical 〔D〕sciences. 二、形容词比较级或最高级的特殊形式：

高中英语的比较级和最高级用法总结

比较级和最高级 1.在形容词词尾加上―er‖ ―est‖ 构成比较级、最高级： bright（明亮的）—brighter—brightest broad（广阔的）—broader—broadest cheap（便宜的）—cheaper—cheapest clean（干净的）—cleaner—cleanest clever（聪明的）—cleverer—cleverest cold（寒冷的）—colder—coldest cool（凉的）—cooler—coolest dark（黑暗的）—darker—darkest dear（贵的）—dearer—dearest deep（深的）—deeper—deepest fast（迅速的）—faster—fastest few（少的）—fewer—fewest great（伟大的）—greater—greatest hard（困难的,硬的）—harder—hardest high（高的）—higher—highest kind（善良的）—kinder—kindest light（轻的）—lighter—lightest long（长的）—longer—longest loud（响亮的）—louder—loudest low（低的）—lower—lowest near（近的）—nearer—nearest new（新的）—newer—newest poor（穷的）—poorer—poorest quick（快的）—quicker—quickest quiet（安静的）—quieter—quietest rich（富裕的）—richer—richest short（短的）—shorter—shortest slow（慢的）—slower—slowest small（小的）—smaller—smallest smart（聪明的）—smarter—smartest soft（柔软的）—softer—softest strong（强壮的）—stronger—strongest sweet（甜的）—sweeter—sweetest tall（高的）-taller-tallest thick（厚的）—thicker—thickest warm（温暖的）—warmer—warmest weak（弱的）—weaker—weakest young（年轻的）—younger—youngest 2.双写最后一个字母,再加上―er‖ ―est‖构成比较级、最高级： big（大的）—bigger—biggest fat（胖的）—fatter—fattest hot（热的）—hotter—hottest red（红的）—redder—reddest sad（伤心的）—sadder—saddest thin（瘦的）—thinner—thinnest wet（湿的）—wetter—wettest mad（疯的）—madder—maddest 3.以不发音的字母e结尾的形容词,加上―r‖ ―st‖ 构成比较级、最高级：able（能干的）—abler—ablest brave（勇敢的）—braver—bravest close（接近的）—closer—closest fine（好的,完美的）—finer—finest large（巨大的）—larger—largest late（迟的）—later—latest nice（好的）—nicer—nicest ripe（成熟的）—riper—ripest

The way的用法及其含义(一)

The way的用法及其含义（一） 有这样一个句子：In 1770 the room was completed the way she wanted. 1770年，这间琥珀屋按照她的要求完成了。 the way在句中的语法作用是什么？其意义如何？在阅读时，学生经常会碰到一些含有the way 的句子，如：No one knows the way he invented the machine. He did not do the experiment the way his teacher told him.等等。他们对the way 的用法和含义比较模糊。在这几个句子中，the way之后的部分都是定语从句。第一句的意思是，“没人知道他是怎样发明这台机器的。”the way的意思相当于how；第二句的意思是，“他没有按照老师说的那样做实验。”the way 的意思相当于as。在In 1770 the room was completed the way she wanted.这句话中，the way也是as的含义。随着现代英语的发展，the way的用法已越来越普遍了。下面，我们从the way的语法作用和意义等方面做一考查和分析： 一、the way作先行词，后接定语从句 以下3种表达都是正确的。例如：“我喜欢她笑的样子。” 1. the way+ in which +从句 I like the way in which she smiles. 2. the way+ that +从句 I like the way that she smiles. 3. the way + 从句(省略了in which或that) I like the way she smiles. 又如：“火灾如何发生的，有好几种说法。” 1. There were several theories about the way in which the fire started. 2. There were several theories about the way that the fire started.

(完整版)初中英语比较级和最高级的用法

英语语法---比较级和最高级的用法 在英语中通常用下列方式表示的词:在形容词或副词前加more(如 more natural,more clearly )或加后缀 -er(newer,sooner )。典型的是指形容词或副词所表示的质、量或关系的增加。英语句子中，将比较两个主体的方法叫做“比较句型”。其中，像“A比B更……”的表达方式称为比较级；而“A最……”的表达方式则称为最高级。组成句子的方式是将形容词或副词变化成比较级或最高级的形态。 一、形容词、副词的比较级和最高级的构成规则 1．一般单音节词和少数以-er，-ow结尾的双音节词，比较级在后面加-er，最高级在后面加-est； （1）单音节词 如：small→smaller→smallest short→shorter→shortest tall→taller→tallest great→greater→greatest （2）双音节词 如：clever→cleverer→cleverest narrow→narrower→narrowest 2．以不发音e结尾的单音节词，比较在原级后加-r，最高级在原级后加-st； 如：large→larger→largest nice→nicer→nicest able→abler→ablest 3．在重读闭音节（即：辅音＋元音＋辅音）中，先双写末尾的辅音字母，比较级加-er，最高级加-est； 如：big→bigger→biggest hot→hotter→hottest fat→fatter→fattest 4．以“辅音字母＋y”结尾的双音节词，把y改为i，比较级加-er，最高级加-est； 如：easy→easier→easiest heavy→heavier→heaviest busy→busier→busiest happy→happier→happiest 5．其他双音节词和多音节词，比较级在前面加more，最高级在前面加most； 如：beautiful→more beautiful→most beautiful different→more different→most different easily→more easily→most easily