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Behavior classification by eigendecomposition of periodic motions

Behavior classification by eigendecomposition of periodic motions
Behavior classification by eigendecomposition of periodic motions

Pattern Recognition 38(2005)1033–

1043

https://www.doczj.com/doc/ad18070950.html,/locate/patcog

Behavior classi?cation by eigendecomposition of periodic motions

Roman Goldenberg ?,Ron Kimmel,Ehud Rivlin,Michael Rudzsky

Computer Science Department,Technion—Israel Institute of Technology,Technion City,Haifa 32000,Israel

Received 23January 2004;received in revised form 25October 2004;accepted 8November 2004

Abstract

We show how periodic motions can be represented by a small number of eigenshapes that capture the whole dynamic mech-anism of the motion.Spectral decomposition of a silhouette of a moving object serves as a basis for behavior classi?cation by principle component analysis.The boundary contour of the walking dog,for example,is ?rst computed ef?ciently and accurately.After normalization,the implicit representation of a sequence of silhouette contours given by their corresponding binary images,is used for generating eigenshapes for the given motion.Singular value decomposition produces these eigen-shapes that are then used to analyze the sequence.We show examples of object as well as behavior classi?cation based on the eigendecomposition of the binary silhouette sequence.

?2005Pattern Recognition Society.Published by Elsevier Ltd.All rights reserved.

Keywords:Visual motion;Segmentation and tracking;Object recognition;Activity recognition;Non-rigid motion;Active contours;Periodicity analysis;Motion-based classi?cation;Eigenshapes

1.Introduction

Futurism is a movement in art,music,and literature that began in Italy at about 1909and marked especially by an effort to give formal expression to the dynamic energy and movement of mechanical processes.A typical example is the ‘Dynamism of a Dog on a Leash’by Giacomo Balla,who lived during the years 1871–1958in Italy,see Fig.1[1].In this painting one could see how the artist captures in one still image the periodic walking motion of a dog on a leash.Following a similar philosophy,we show how periodic mo-tions can be represented by a small number of eigenshapes that capture the whole dynamic mechanism of periodic mo-tions.Singular value decomposition of a silhouette of an ob-ject serves as a basis for behavior classi?cation by principle

?Corresponding author.Tel.:+97248294940;

fax:+97248293900.

E-mail addresses:romang@cs.technion.ac.il (R.Goldenberg),ron@cs.technion.ac.il (R.Kimmel),ehudr@cs.technion.ac.il (E.Rivlin),rudzsky@cs.technion.ac.il (M.Rudzsky).

0031-3203/$30.00?2005Pattern Recognition Society.Published by Elsevier Ltd.All rights reserved.doi:10.1016/j.patcog.2004.11.024

component analysis.Fig.2present a running horse video sequence and its eigenshape decomposition.One can see the similarity between the ?rst eigenshapes—Fig.2(c and d),and another futurism style painting “The Red Horseman”by Carlo Carra [1]—Fig.2(e).The boundary contour of the moving non-rigid object is computed ef?ciently and accu-rately by the fast geodesic active contours [2].After normal-ization,the implicit representation of a sequence of silhou-ette contours given by their corresponding binary images,is used for generating eigenshapes for the given motion.Sin-gular value decomposition produces the eigenshapes that are used to analyze the sequence.We show examples of object as well as behavior classi?cation based on the eigendecom-position of the sequence.

2.Related work

Motion-based recognition received a lot of attention in the ?eld of image analysis.The main reason is that direct usage of temporal data can improve our ability to solve a

1034R.Goldenberg et al./Pattern Recognition 38(2005)1033–1043

number of basic computer vision problems.Examples are image segmentation,tracking,object classi?cation,etc.In general,when analyzing a moving object,one can use two main sources of information:changes of the moving object position (and orientation)in space,and the object’s deformations.

Object position is an easy-to-get characteristic,applica-ble both for rigid and non-rigid bodies.It is provided by most of existing target detection and tracking systems.A number of techniques [3–6]were proposed for the detection of motion events and recognition of various types of mo-tions based on the analysis of the moving object trajectory and its derivatives.Detecting object orientation is a more challenging problem.It is usually solved by ?tting a model that may vary from a simple ellipsoid [6]to a complex 3-D vehicle model [7]or a speci?c aircraft-class model adapted for noisy radar images as in Ref.[8]

.

Fig.1.‘Dynamism of a Dog on a Leash’1912,by Giacomo Balla,Albright-Knox Art Gallery,

Buffalo.

Fig.2.(a)Running horse video sequence,(b)?rst 10eigenshapes,(c,d)?rst and second eigenshapes enlarged,(e)‘The Red Horseman’,1914,by Carlo Carra,Civico Museo d’Arte Contemporanea,Milan.

While object orientation characteristic is more applicable for rigid objects,it is object deformation that contains the most essential information about the nature of the non-rigid body motion.This is especially true for natural non-rigid ob-jects in locomotion that exhibit substantial changes in their apparent view.In this case the motion itself is caused by these deformations,e.g.walking,running,hopping,crawl-ing,?ying,etc.

There exists a large number of papers dealing with the classi?cation of moving non-rigid objects and their motions,based on their appearance.Lipton et al.describe a method for moving target classi?cation based on their static appear-ance [9]and using their skeletons [10].Polana and Nelson [11]used local motion statistics computed for image grid cells to classify various types of activities.An approach using the temporal templates and motion history images (MHI)for action representation and classi?cation was sug-gested by Davis and Bobick in Ref.[12].Cutler and Davis [13]describe a system for real-time moving object classi?-cation based on periodicity analysis.Describing the whole spectrum of papers published in this ?eld is beyond the scope of this paper,and we refer the reader to the surveys [14–16].

Related to our approach are the works of Yacoob and Black [17]and Murase and Sakai [18].In Ref.[17],human activities are recognized using a parameterized representa-tion of measurements collected during one motion period.The measurements are eight motion parameters tracked for ?ve body parts (arm,torso,thigh,calf and foot).

Murase and Sakai [18]describe a method for moving object recognition for gait analysis and lip reading.Their method is based on parametric eigenspace representation of the object silhouettes.Moving object segmentation is per-formed by using simple background subtraction.The eigen-basis is computed for one class of objects.Murase and Sakai used an optimization technique for ?nding the shift and scale parameters which is not trivial to implement.

R.Goldenberg et al./Pattern Recognition38(2005)1033–10431035

In this paper we concentrate on the analysis of defor-mations of moving non-rigid bodies.We thereby attempt to extract characteristics that allow us to distinguish be-tween different types of motions and different classes of objects.

Essentially we build our method based on approaches suggested in Refs.[18,17]by revisiting and improving some of the components.Unlike previous related methods,we ?rst introduce an advanced variational model for accurate segmentation and tracking.The proposed segmentation and tracking method allows extraction of moving object con-tours with high accuracy and,yet,is computationally ef?-cient enough to be implemented in a real time system.The algorithm analyzing high-precision object contours achieves better classi?cation results and can be easier adopted to var-ious object classes than the methods based on control points tracking[17]or background subtraction[18].

We then compute eigenbasis for several classes of objects (e.g.humans and animals).Moreover,at this?rst stage we select the right class by comparing the distance to the right feature space in each of the eigenbases.Next,we create a principle basis not only for static object view(single frames), but also for the whole period subsequences.For example,we create a principle basis for one human motion step and then project every period onto this basis.Unlike[18],we are not trying to build a separate basis for every motion type,but instead,build a common basis for the whole human motion class.Different types of human motions are then detected by looking at the projections of motion samples onto this basis.Apparently,this type of analysis can only be possible due to the high quality of segmentation and tracking results. We propose an explicit temporal alignment process for ?nding the shift and scale.Finally,we use a simple clas-si?cation approach to demonstrate the performances of our framework and test it on various classes of moving objects.

3.Our approach

Our basic assumption is that for any given class of moving objects,like humans,dogs,cats,and birds,the apparent object view in every phase of its motion can be encoded as a combination of several basic body views or con?gurations. Assuming that a living creature exhibits a pseudo-periodic motion,one motion period can be used as a comparable information unit.The basic views are then extracted from a large training set.An observed sequence of object views collected from one motion period is projected onto this basis. This forms a parameterized representation of the object’s motion that can be used for classi?cation.

Unlike[17]we do not assume an initial segmentation of the body into parts and do not explicitly measure the motion parameters.Instead,we work with the changing apparent view of deformable objects and use the parameterization induced by their form variability.

In what follows we describe the main steps of the process that include,

?Segmentation and tracking of the moving object that yield an accurate external object boundary in every frame.?Periodicity analysis,in which we estimate the frequency of the pseudo-periodic motion and split the video se-quence into single-period intervals.

?Frame sequence alignment that brings the single-period sequences to a standardized form by compensating for temporal shift,speed variations,different object sizes and imaging conditions.

?Parameterization by building an eigenshape basis from a training set of possible object views and projecting the apparent view of a moving body onto this basis.

3.1.Segmentation and tracking

Our approach is based on the analysis of deformations of the moving body.Therefore the accuracy of the segmentation and tracking algorithm in?nding the target outline is crucial for the quality of the?nal result.This rules out a number of available or easy-to-build tracking systems that provide only a center of mass or a bounding box around the target and calls for more precise and usually more sophisticated solutions.

Therefore,we decided to use the geodesic active contour approach[19]and speci?cally the‘fast geodesic active con-tour’method described in Ref.[2].The segmentation prob-lem is expressed as a geometric energy minimization.We search for a curve C that minimizes the functional

S[C]=

L(C)

g(C)d s,

where d s is the Euclidean arclength,L(C)is the total Eu-clidean length of the curve,and g is a positive edge indi-cator function in a3-D hybrid spatial-temporal space that depends on the pair of consecutive frames I t?1(x,y)and I t(x,y),where I t(x,y): ?R2×[0,T]→R+.It gets small values along the spatial-temporal edges,i.e.moving object boundaries,and higher values elsewhere.

In addition to the scheme described in Ref.[2],we also use the background information whenever a static back-ground assumption is valid and a background image B(x,y) is available.In the active contours framework this can be achieved either by modifying the g function to re?ect the edges in the difference image D(x,y)=|B(x,y)?I t(x,y)|, or by introducing additional area integration terms to the functional S(C):

S[C]=

L(C)

g(C)d s+ 1

C

|D(x,y)?c1|2d a + 2

\ C

|D(x,y)?c2|2d a,

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Fig.3.Non-rigid moving object segmentation and tracking.

where C is the area inside the contour C , 1and 2are ?xed parameters and c 1,c 2are given by c 1=average C [D(x,y)],c 2=average \ C [D(x,y)].

The latter approach is inspired by the ‘active contours with-out edges’model proposed by Chan and Vese [20].It forces the curve C to close on a region whose interior and exte-rior have approximately uniform D(x,y)values.A different approach to utilize the region information by coupling be-tween the motion estimation and the tracking problem was suggested by Paragios and Deriche in Ref.[21].

Fig.3shows some results of moving object segmentation and tracking using the proposed method.

Contours can be represented in various ways.Here,in or-der to have a uni?ed coordinate system and be able to apply a simple algebraic tool,we use the implicit representation of a simple closed curve as its binary image.That is,the contour is given by an image for which the exterior of the contour is black while its interior is white.3.2.Periodicity analysis

Here we assume that the majority of non-rigid moving objects are self-propelled alive creatures,whose motion is almost periodic.Thus,one motion period,like a step of a walking man or a rabbit hop,can be used as a natural unit of motion.Extracted motion characteristics can by normalized by the period size.

The problem of detection and characterization of periodic activities was addressed by several research groups and the prevailing technique for periodicity detection and measure-ments is the analysis of the changing 1-D intensity signals along spatio-temporal curves associated with a moving ob-ject or the curvature analysis of feature point trajectories [22–25].Here we address the problem using global charac-teristics of motion such as moving object contour deforma-tions and the trajectory of the center of mass.

By running frequency analysis e.g.Refs.[13,26]on such 1-D contour metrics as the contour area,velocity of the cen-ter of mass,principal axes orientation,etc.we can detect the basic period of the motion.Figs.4and 5present global motion characteristics derived from segmented moving ob-jects in two sequences.One can clearly observe the common dominant frequency in all three graphs.

The period can also be estimated in a straightforward manner by looking for the frame where the external object contour best matches the object contour in the current frame.Fig.6shows the deformations of a walking man contour during one motion period (step).Samples from two different steps are presented and each vertical pair of frames is phase synchronized.One can clearly see the similarity between the corresponding contours.An automated contour matching can be performed in a number of ways,e.g.by comparing contour signatures or by looking at the correlation between the object silhouettes in different frames as we chose to do in our work.Fig.7shows four graphs of inter-frame silhouette correlation values measured for four different starting frames taken within one motion period.It is clearly visible that all four graphs nearly coincide and the local maxima peaks are approximately evenly spaced.The period,therefore,was estimated as the average distance between the neighboring peaks.

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Fig.4.Global motion characteristics measured for walking man sequence.

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Fig.5.Global motion characteristics measured for walking cat sequence.

1038R.Goldenberg et al./Pattern Recognition 38(2005)1033–

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Fig.6.Deformations of a walking man contour during one motion period (step).Two steps synchronized in phase are shown.One can see the similarity between contours in corresponding phases.

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i n t e r ?f r a m e c o r r e l a t i o n Fig.7.Inter-frame correlation between object silhouettes.Four graphs show the correlation measured for four initial frames.

3.3.Frame sequence alignment

One of the most desirable features of any classi?cation system is the invariance to a set of possible input transfor-mations.As the input in our case is not a static image,but a sequence of images,the system should be robust to both spatial and temporal variations.In the section below we de-scribe the methods for spatial and temporal alignment of input video sequence bringing it to a canonical,comparable form allowing later classi?cation.

3.3.1.Spatial alignment

We want to compare every object to a single pattern re-gardless of its size,viewing distance and other imaging con-ditions.This is achieved by cropping a square bounding box around the center of

mass of the tracked target silhouette and re-scaling it to a prede?ned size (see Fig.8).Note that this is not a scale invariant transformation unlike other reported normalization techniques e.g.Ref.[27].

Fig.8.Scale alignment.A minimal square bounding box around the center of the segmented object silhouette (a)is cropped and re-scaled to form a 50×50binary image (b).

One way to have orientation invariance is to keep a col-lection of motion samples for a wide range of possible motion directions and then look for the best match.This approach was used by Yacoob and Black in Ref.[17]to distinguish between different walking directions.Although here we experiment only with motions nearly parallel to the image plane,the system proved to be robust to small vari-ations in orientation.Since we do not want to keep models for both left-to-right and right-to-left motion directions,the right-to-left moving sequences are converted to left-to-right by horizontal mirror ?ip.

3.3.2.Temporal alignment

A good estimate of the motion period allows us to com-pensate for motion speed variations by re-sampling each period subsequence to a prede?ned duration.This can be done by interpolation between the binary silhouette im-ages themselves or between their parameterized represen-tation as explained below.Fig.9presents an original and re-sampled one-period subsequence after scaling from 11to 10frames.

Temporal shift is another issue that has to be addressed in order to align the phase of the observed one-cycle sample and the models stored in the training base.In Ref.[17]it was done by solving a minimization problem of ?nding the

R.Goldenberg et al./Pattern Recognition38(2005)1033–1043

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Fig.9.Temporal alignment.Top:original11frames of one period subsequence.Bottom:re-sampled10frames

sequence.

Fig.10.Temporal shift alignment:(a)average starting frame of all the training set sequences,(b)temporally shifted single-cycle test sequence,(c)correlation between the reference starting frame and the test sequence frames.

optimal parameters of temporal scaling and time shift trans-formations so that the observed sequence is best matched to the training samples.Polana and Nelson[11]handled this problem by matching the test one-period subsequence to reference template at all possible temporal translations. Murase and Sakai[18]used an optimization technique for ?nding the shift and scale parameters.Here we propose an explicit temporal alignment process.

Let us assume that in the training set all the sequences are accurately aligned.Then we?nd the temporal shift of a test sequence by looking for the starting frame that best matches the generalized(averaged)starting frame of the training samples,as they all look alike.Fig.10shows(a)the reference starting frame taken as an average over the tem-porally aligned training set,(b)a re-sampled single-period test sequence and,(c)the correlation between the reference starting frame and the test sequence frames.The maximal correlation is achieved at the seventh frame,therefore the test sequence is aligned by cyclically shifting it7frames to the left.

3.4.Parameterization

In order to reduce the dimensionality of the problem we ?rst project the object image in every frame onto a low-dimensional base.The base is chosen to represent all pos-sible appearances of objects that belong to a certain class, like humans,four-leg animals,etc.

Let n be number of frames in the training base of a certain class of objects and M be a training samples matrix,where each column corresponds to a spatially aligned image of a moving object written as a binary vector.In our experiments we use50×50normalized images,therefore,M is a2500×n matrix.The correlation matrix MM T is decomposed using Singular Value Decomposition as MM T=U V T,where U is an orthogonal matrix of principal directions and the is

1040R.Goldenberg et al./Pattern Recognition38(2005)1033–

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Fig.11.The principal basis for the‘dogs and cats’training set formed of20?rst principal component vectors.

a diagonal matrix of singular values.In practice,the decom-position is performed on M T M,which is computationally more ef?cient[28].The principal basis{U i,i=1,...,k}for the training set is then taken as k columns of U correspond-ing to the largest singular values in .Fig.11presents a principal basis for the training set formed of800sample im-ages collected from more than60sequences showing dogs and cats in motion.The basis is built by taking the k=20?rst principal component vectors.

We build such representative bases for every class of objects.Then,we can distinguish between various object classes by?nding the basis that best represents a given ob-ject image in the distance to the feature space(DTFS)sense. Fig.12shows the distances from more than1000various im-ages of people,dogs and cats to the feature space of people and to that of dogs and cats.In all cases,images of people were closer to the people feature space than to the animals’feature space and vise a versa.This allows us to distinguish between these two classes.A similar approach was used in Ref.[29]for the detection of pedestrians in traf?c scenes. If the object class is known(e.g.we know that the object is a dog),we can parameterize the moving object silhouette image I in every frame by projecting it onto the class basis. Let B be the basis matrix formed from the basis vectors {U i,i=1,...,k}.Then,the parameterized representation of the object image I is given by the vector p of length k as p=B T v I,where v I is the image I written as a vector. The idea of using a parameterized representation in motion-based recognition context is certainly not a new one.To name a few examples we mention again the works of Yacoob and Black[17],and of Murase and Sakai[18].

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Fig.12.Distances to the‘people’and‘dogs and cats’feature spaces from more than1000various images of people,dogs and cats.

Cootes et al.[30]used similar technique for describing fea-ture point locations by a reduced parameter set.Baumberg and Hogg[31]used PCA to describe a set of admissible B-spline models for deformable object tracking.Chomat and Crowley[32]used PCA-based spatio-temporal?lter for human motion recognition.

Fig.13shows several normalized moving object images from the original sequence and their reconstruction from a parameterized representation by back-projection to the im-age space.The numbers below are the norms of differences between the original and the back-projected images.These norms can be used as the DTFS estimation.

Now,we can use these parameterized representations to distinguish between different types of motion.The refer-ence base for the activity recognition consists of temporally aligned one-period subsequences.The moving object sil-houette in every frame of these subsequences is represented by its projection to the principal basis.More formally,let {I f:f=1,...,T}be a one-period,temporally aligned set of normalized object images,and p f,f=1,...,T a pro-jection of the image I f onto the principal basis B of size k.Then,the vector P of length kT formed by concatenation of all the vectors p f,f=1,...,T,represent a one-period subsequence.By choosing a basis of size k=20and the nor-malized duration of one-period subsequence to be T=10 frames,every single-period subsequence is represented by a feature point in a200-dimensional feature space.

In the following experiment we processed a number of sequences of dogs and cats in various types of locomotion. From these sequences we extracted33samples of walking dogs,9samples of running dogs,9samples with gallop-ing dogs and14samples of walking cats.Let S200×m be

R.Goldenberg et al./Pattern Recognition 38(2005)1033–1043

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Fig.13.Image sequence parameterization.Top:11normalized target images of the original sequence.Bottom:the same images after the parameterization using the principal basis and back-projecting to the image basis.The numbers are the norms of the differences between the original and the back-projected images.

Fig.14.Feature points extracted from the sequences with walking,running and galloping dogs and walking cats and projected to the 3D space for visualization.

the matrix of projected single-period subsequences,where m is the number of samples and the SVD of the correla-tion matrix is given by SS T =U S S V S .In Fig.14we de-pict the resulting feature points projected for visualization to the 3-D space using the three ?rst principal directions {U S i :i =1,...,3},taken as the column vectors of U S cor-responding to the three largest eigen-values in S .One can easily observe four separable clusters corresponding to the four groups.

Another experiment was done over the ‘people’class of images.Fig.15presents feature points corresponding to several sequences showing people walking and running parallel to the image plane and running at oblique angle to the camera.Again,all three groups lie in separable clusters.

The classi?cation can be performed,for example,using the k -nearest-neighbor algorithm.We conducted the ‘leave one out’test for the dogs set above,classifying every sample by taking them out from the training set one at a time.The three-nearest-neighbors strategy resulted in 100%success

rate.

Fig.15.Feature points extracted from the sequences showing peo-ple walking and running parallel to the image plane and at 45?angle to the camera.Feature points are projected to the 3-D space for visualization.

Another option is to further reduce the dimensionality of the feature space by projecting the 200-dimensional feature vectors in S to some principal basis.This can be done using a basis of any size,exactly as we did in 3-D for visualiza-tion.Fig.16presents learning curves for both animals and people data sets.The curves show how the classi?cation er-ror rate achieved by one-nearest-neighbor classi?er changes as a function of principal basis size.The curves are obtained by averaging over a hundred iterations when the data set is randomly split into training and testing sets.The principal basis is built on the training set and the testing is performed using the ‘leave one out’strategy on the testing set.4.Concluding remarks

We presented a new framework for motion-based clas-si?cation of moving non-rigid objects.The technique is based on the analysis of changing appearance of moving ob-jects and is heavily relying on high accuracy results of seg-mentation and tracking by using the fast geodesic contour

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(a)(b)

Fig.16.Learning curves for (a)dogs and cats data set and (b)people data set.One-nearest-neighbor classi?cation error rate as a function of the number of eigenvectors in the projection basis.

approach.The periodicity analysis is then performed based on the global properties of the extracted moving object con-tours,followed by video sequence spatial and temporal nor-malization.Normalized one-period subsequences are param-eterized by projection onto a principal basis extracted from a training set of images for a given class of objects.A num-ber of experiments show the ability of the system to ana-lyze motions of humans and animals,to distinguish between these two classes based on object appearance,and to classify various type of activities within a class,such as walking,running,galloping.The ‘dogs and cats’experiment demon-strate the ability of the system to discriminate between these two very similar by appearance classes by analyzing their locomotion.

Acknowledgements

We thank Alfred M.Bruckstein for sharing with us his observation of the connection between the Futurism art movement and the periodic motion presentation using eigen-shapes.

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About the Author—ROMAN GOLDENBERG received the B.A.(Summa cum Laude)and Ph.D.degrees in Computer Science,from the Technion—Israel Institute of Technology,Haifa,in1995and2003,respectively.

From1994to1996,1999he was with IBM Research Lab in Haifa.Currently he is a research fellow at the Technion R&D Foundation and the Samuel Neeman Institute for Advanced Studies in Science and Technology.

His research interests include video analysis,tracking,motion-based recognition,PDE methods for image processing,and medical imaging. About the Author—RON KIMMEL received his B.Sc.(with honors)in computer engineering in1986,the M.S.degree in1993in electrical engineering,and the D.Sc.degree in1995from the Technion—Israel Institute of Technology.During the years1986–1991he served as an R&D of?cer in the Israeli Air Force.

During the years1995–1998he has been a postdoctoral fellow at Lawrence Berkeley National Laboratory,and the Mathematics Department, University of California,Berkeley.Since1998,he has been a faculty member of the Computer Science Department at the Technion,Israel. His research interests are in computational methods and their applications including topics in:Differential geometry,numerical analysis, non-linear image processing,geometric methods in computer vision,and numerical geometry methods in computer aided design,robotic navigation,and computer graphics.

Dr.Kimmel was awarded the Hershel Rich Technion innovation award,the Henry Taub Prize for excellence in research,Alon Fellowship, the HTI Post-doctoral Fellowship,and the Wolf,Gutwirth,Ollendorff,and Jury fellowships.He has been a consultant of HP research Lab in image processing and analysis during the years1998–2000,and to Net2Wireless/Jigami research group during2000–2001.

About the Author—EHUD RIVLIN received the B.Sc.and M.Sc.degrees in computer science and the M.B.A.degree from the Hebrew University in Jerusalem,and the Ph.D.from the University of Maryland.

Currently he is an Associate Professor in the Computer Science Department at the Technion,Israel Institute of Technology.His current research interests are in machine vision and robot navigation.

About the Author—MICHAEL RUDZSKY received his Ph.D.in physics and mathematics from the Institute of Space Research,Moscow in1980.He worked in the Scienti?c and Industrial Association for Space Research in Baku,Azerbajan till1990.

Since1991he was a research fellow in the Physics Department and since1995at the Computer Science Department of the Technion, Haifa,Israel.His current research interests include computer vision,pattern recognition and compression of images.

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ABC Classification ABC分类法 Activity-Based Costing 业务量成本法/作业成本法 ACRS (Accelerated cost recovery system) 快速成本回收制度Action Message 行为/措施信息 AIS (Accounting information system) 会计信息系统 Allocation 已分配量 Anticipated Delay Report 拖期预报 A/P (Accounts Payable) 应付帐款 APICS (American Production & Inventory Control Society) 美国生产及库存控制协会 AQL (Acceptable quality Level) 可接受质量水平 A/R (Accounts Receivable) 应收帐款 Automatic Rescheduling 自动重排产 Available To Promise (APT) 可签约量 Backflush 倒冲法 Backlog 未完成订单/未结订单 Back Scheduling 倒序排产 BE analysis (Break-even analysis) 盈亏临界点分析,保本分析 Bill of Material (BOM) 物料清单 Business Plan 经营规划 B/V (Book value) 帐面价值 Capacity Requirements Planning (CRP) 能力需求计划

CBA (Cost-benefit analysis) 成本效益分析 CEO 首席执行官 CFO (Chief Financial Officer) 财务总裁 Closed Loop MRP 闭环物料需求计划 CPM (Critical path method) 关键路线法 CPP accounting (Constant purchasing power accounting) 不变购买力会计 Cumulative Lead Time 累计提前期 Cycle Counting 周期盘点 Demand 需求 Demand Management 需求管理 Demonstrated Capacity 实际能力 Dependent Demand 非独立需求 DFL (Degree of financial leverage) 财务杠杆系数 Direct-deduct Inventory Transaction Processing 直接增减库存法Dispatch List 派工单 DOL (Degree of operating leverage) 经营杠杆系数 ELS (Economic lot size) 经济批量 EOQ (Economic order quantity) 经济订货批量 FIFO (Fist-in,Fist-out) 先进先出法 Firm Planned Order 确认计划订单 FISH/LIFO (Fist-in,Still-here) 后进先出法

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人间真情作文800字 篇一:人间真情作文800字 爱,是人类最美好的情感,爱,使人间充满温暖。一句话,一个动作,甚至一个眼神,都体现着真挚的爱,那一次,我被爱感动了。那天,正在梦乡的我被妈妈的一句话吵醒了怡婷,快起床了,等一下去帮我买东西。不要嘛!太阳公公都没‘醒’呢。妈妈拿我没办法,就去干活了。我在床上躺了会儿,就走到妈妈面前,说:要买什么东西呀?我打了个哈欠。妈妈拿出一元钱,说:去市场上买两斤豆腐,之后&&我拿起一块钱,走到门口,妈妈再三叮嘱:现在做买卖的都会用秤杆子坑人,别傻呼呼的,要看看秤,知道吗?哦,知道了。我不胜其烦地说。忽然,我听到了一阵叫声,卖豆腐咯,谁买豆腐!我随着声音跑了过去,看见了一个卖豆腐的叔叔,当我走到豆腐车旁时,正好他刚给别人称完豆腐,见我注视着他,便笑了笑,问道:小朋友,买几斤?瞧,果真像妈妈说的,做买卖的人,嘴都甜,能说会道,态度友好。哼,他企图用可亲可爱的样子欺骗我,没门!我决不会上当的。我心里暗暗告诫自己。买两斤,少一点也不要。我故意提高声音回答他。叔叔切了两块豆腐,放入袋子中,递给了我。他收了钱,又高声叫道:卖豆腐咯我捧着袋子,朝家走去,可谁知走了几步,被石头绊了一下,手一松,白花花的豆腐撒了一地,我急得快要哭了。心想:怎么办,等一下回家会被妈妈骂的。怎么办?这时,卖豆腐的叔叔走到我身边,用手轻轻地抚摸着我的头,安慰我说:别哭,叔叔在给你称一块。拿钱呢?&&不要钱了。说完,他切了两块豆腐,放进袋子里。我望着他那和蔼的面孔,不知说什么才好&& 我怀着激动的心情,捧着袋子向家中走去。远处,又传来阵阵叫喊声:卖豆腐咯啊!人间处处有真情,真情时时暖人心。有人曾说,世上并不缺少美,而是缺少发现美的眼睛。那次,我流泪了,流下感动的泪。清华实验六年级:杜雪怡 篇二:人间自有真情在(800字) 精选:人间自有真情在(800字)作文 记忆的窗帘徐徐拉开,只记得以前的悲凉:那时的我,不过刚出生八个月,就遭

uncivilized behavior

Uncivilized behavior of Chinese tourists “You see, it’s common, most people didn’t care”said by one female tourist who is just throwing trash on the San Ya beach which has already been reduced to a dumping ground. When the beautiful island meets holiday crowd, under the hustling and bustling scene, we absolutely startled by the carving “Dao ci yi you”, dumbling beer bottles, spilling peels and half-burned branches. These facts are still far from enough.Uncivilized behavior makes headlines in the National Day holidays. At the memorable flag-raising ceremony at Tiananmen Square on October 1, over 120,000 participants left five tons of trash behind after showing their respect to the country. Sometimes, you could not find a place to sit –men take up all the benches in the park, lying full-length and blissfully snoring the afternoon away.Spitting, talking loudly and random littering are frequent scenes in tourist attractions. Countless visitors allow their children to use the city streets as a toilet, even though there is a toilet nearby. Newsstand and bookshop proprietors also suffer from bad-mannered people who tear the wrappers off magazines and read the contents without buying them. Bookstore visitors ignore the signs of asking them to rest only in designated areas instead of sitting on the stairwell. Similar stories are testing the tolerance of public opinion almost every day. We could be denied those undesirable manner. Nevertheless, it will be more persuasive to point out that China's tourism industry is not developing in a gradual way, but in a blowout manner. Growing wealth enables more Chinese people to seek leisure and fulfillment from traveling. Considering China's large population, some problems and challenges must emerge at the same time.We might be disappointed but not be desperate. Objectively speaking, before the national holiday, civilized traveling aroused surges of attention such as Wechat hot debate, media focus, screen exposure, which is beyond the past several years.Under the supervision of public opinion, the index of civilized golden week presents positive improvement. However,it’s still a serious short board that reflects on Chinese social moral deficiency. Not only should we take it seriously, but also wake up the consciousness of citizen responsibility and turn it in to action to make up. Forming harmonious social morality as if human’s maturation. We need time. I do believe the enlightened public moral education combined with perfected facilities will take several generations to nurture civilized behavior and display a positive image of Chinese tourists.

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TPO4-leture1-animal behavior

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